diff --git "a/data/dm_maths/full_data_1/1649_11255.jsonl" "b/data/dm_maths/full_data_1/1649_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1649_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -4*g = -q - 21, -4*q + 829 - 841 = -4*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i. What is p(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p + 8. Let s be g(-8). Which is bigger: s or -9\/37?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -571 - -406. Let p be g\/(-22)*(-60)\/9. What are the prime factors of p*(28\/(-10) + 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - a**2 + 5*a - 3. Let l(b) = -b**2 + 35*b - 172. Let f be l(29). What is i(f)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 22*g - 1. Give k(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 2834. Let w(z) = -289*z**2 + 2. Determine l(w(a)).\nAnswer: 289*a**2 + 2832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 4. Let c = 1 + m. Is ((-13)\/c - -2)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17166068900 rounded to the nearest one million?\nAnswer: -17166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1274 or -1864?\nAnswer: 1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.896 + 0.104. Let w = 85.9999961 - o. Round w to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176519 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 + 1)*(2*i + 2*i - 2*i) - i + 2*i - 3*i + 2*i - 4*i + i)*(-i - i + 4*i).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 287*c**2 + 861*c + 1. Give b(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in 2\/19, 14\/3, -39?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 4 (c) 2\/1042885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rszu when four letters picked without replacement from {s: 2, r: 4, m: 1, z: 5, u: 2}?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1105073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5608031175 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, i: 2}. Give prob of sequence qq.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 l when three letters picked without replacement from {t: 3, y: 1, l: 1, i: 3, f: 2, m: 5}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578366 is divided by 32131.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 17667.\nAnswer: 123669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 53 = 2*l - 4*l, l + 3*l - 54 = 6*l + 2*h for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2277296 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:57 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.84713mg to nanograms.\nAnswer: 50847130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggngggggn. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1360513300 to the nearest 1000000.\nAnswer: -1361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**19*o)\/o**(-19\/2)*o**(-12)*o**(-3\/11))**(-5\/7) assuming o is positive.\nAnswer: o**(-2005\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253733 (base 8) to base 3.\nAnswer: -11110202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4002709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + b**2 + 4*b. Let h be c(2). Suppose 125 = i + q, 0 = 2*i - q - h*q - 278. Let n = -79 + i. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*j - 18. Let y be 115 + (-1 - (-7 + 4)). Let k = -106 + y. Solve 4*w + k = -j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -33. Let y(i) = 322*i**2 + 1. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n + 215. Let k be y(-20). Let l be (1\/(-2))\/(k\/(-10) - 3). What is the nearest to l in 2, -3\/11, -2, 0.5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.9 + -6.1. Let d = 19 - k. Let j = -63.41 + d. What is j rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/k*((k*k**(-7)*k)\/k*k)\/k*k)**(-16\/9)*(k**(-1))**(-2\/51)\/(k**(-1))**29 assuming k is positive.\nAnswer: k**(1753\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.17868mm to meters.\nAnswer: 0.09317868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65489788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*u - 3*u. Suppose -4*x = -14 - u. Let 4*q**2 + 3*q - x*q**2 + 6 - 3 - q = 0. Calculate q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5914936 divided by 22.\nAnswer: -2957468\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p = -6*p - 924 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2881 + -2879. Suppose -7\/2*x**o - 7*x - 5\/4*x**5 + 19\/4*x**3 - 2 + 2*x**4 = 0. Calculate x.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*r**3 + 222*r**2 - 58703 wrt r?\nAnswer: 60*r**2 + 444*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 77 - 77)*(-21 + 116 - 33 - 36).\nAnswer: 182*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1628 and -101\/1924.\nAnswer: 21164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -37 (b) -2\/7 (c) 1\/9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 11134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1535, 3, -3, -79.\nAnswer: -79, -4, -3, 1, 3, 1535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Let v(n) = -n - 10. Suppose 0 = -5*d - 10, 0 = 3*y - 4*d + 2*d + 26. Let r be v(y). Solve -o - 2 = -p, -b*o - p = -r*p - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 1\/3*o**3 + 20\/3*o**4 + 17\/2*o**2 - 7*o - 7. What is the second derivative of f(d) wrt d?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 7. Let x = 1120 - 1120.4. What is the fourth smallest value in 2, -0.05, u, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22597?\nAnswer: 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwtakxkkaak. Give prob of sequence tw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1376315\/184 + -7480. Let v = n + 1551\/368. Calculate the common denominator of 13\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4584*237.\nAnswer: 1086408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -11 + 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 3*i. Let c be j(-3). Let s(h) = -3*h - 52. Let y be s(-18). Factor 0*m + 0*m**3 + 1\/5*m**5 + 1\/5*m**4 + c + 0*m**y.\nAnswer: m**4*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -383161*f**3\/2 + 9767201*f**2\/2 - 81191955*f\/2 + 221267475\/2.\nAnswer: -(f - 11)*(619*f - 4485)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3881*v**2 + 186*v**4 - 5*v + 345*v**3 + 2296*v**2 - 358*v**3 wrt v.\nAnswer: 4464*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 72.\nAnswer: 0, 0.4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 17 - 18) + 19.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*g. Suppose 2*t - 5 = v + 38, 9 = t + g*v. Is (-3)\/1 + t + -5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1026 and 2280?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 819 - -a?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*h = -80*h + 316. Let p = 358 + h. What is the greatest common divisor of 56 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = m - s, 6979*m + 2*s - 17 = 6980*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.2 (c) -28796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 247 and 25.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + -303 + 279 - (-2 + (-1 - -9)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 + -4754\nAnswer: -4752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 607\/79 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c**4 + 17*c + 12*c + 16*c - 44*c)*(-25*c - 1 + 22*c + 0).\nAnswer: 30*c**5 + 10*c**4 - 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351276*g**2 - 702550*g**2 - 149 + 351283*g**2.\nAnswer: 9*g**2 - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvggmvxov. What is prob of picking 1 m and 1 x?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 6. Let r(n) = -34 - 1 + 1 - 20*n. Let m be r(-4). Let i(t) = 25 + 10*t + 11 - 55 - m. Determine 6*i(w) - 65*y(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 626073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, 5, -11, -325, 1 in ascending order.\nAnswer: -325, -14, -11, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 108, -2, -1 in decreasing order.\nAnswer: 108, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgzpgrrrhkrg. What is prob of sequence rgpr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -804, -874, -948, -1026, -1108, -1194?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l. Let q(t) = -3*t**2 - 3*t - 4. Let u(c) = 4*m(c) + q(c). Let w be u(-4). Let f = -6 + w. Solve -v - 3*v - h = -7, f*v = 5*h + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 77 + -20 + 7\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**4 - 45395009*o**2 + 40711964?\nAnswer: 4*o**3 - 90790018*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*u + 395*u = 5*i - 655, 5*i + 71 = -u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*p - 141*p + 70*p**2 + 324*p to the form j*p**2 + n + u*p and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*l - 149*l - 174066 = -1183*l - 2063*l for l.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-20)*((-21)\/(-126))\/(1\/116)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/16 + -95\/112. Sort 2\/5, d, 2\/13 in decreasing order.\nAnswer: 2\/5, 2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 791, -4 in descending order.\nAnswer: 791, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l - 2\/3*l**3 + 1 - l**2. What is the second derivative of u(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 142*t**2 - 386*t + 32. Let x(j) = 124*j**2 - 386*j + 33. Let m(h) = 6*i(h) - 7*x(h). Give m(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 x, and 1 s when four letters picked without replacement from {h: 1, s: 1, y: 2, x: 1, q: 2, v: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -161\/501051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 4, u: 2, a: 6, q: 3, v: 1}. What is prob of picking 1 d and 1 v?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-170)*5*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(15\/7)\/(o\/o**2*o**(-2)\/o*o) assuming o is positive.\nAnswer: o**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 17 - -20 - (-2 + -1 + 22)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -956*r**2 - 40*r + 5. Let o(d) = 182596*d**2 + 7648*d - 956. Let m(t) = -5*o(t) - 956*u(t). Let g(x) = -2*x**2. What is g(m(s))?\nAnswer: -1827872*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4843 = -672*i + 441*i - 7557 + 4084 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/4*31\/6*(-2)\/6*1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = -2*h - 3*m, 16 = h + 5*m. Suppose -5*z = -14 - h. Solve -z*f = -t - 16, -5*t + f + 3*f = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 87 = -4*u, 4*u + 63 = 61*g - 62*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 16 = -8 - 6 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 335 = 1 - 35. Which is greater: l or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 2}. Give prob of picking 1 k and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2.1457 - 0.06\nAnswer: 2.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 7. Let d(g) = 4*g - 8. Suppose 2*s - 64 = -56. Suppose w = -s*r + 4*w + 279, 0 = -r - w + 61. Let i = r + -72. Give i*b(a) + 5*d(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*v + 5*j - 2, 2*v + 4*j - 38 = 0. Let n(z) = -v*z**2 + 24*z**2 - z**3 + 5*z - 15*z**2. Calculate n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 63*h**3 + 49*h**2 - 49*h. Let t(b) = -4*b**3 - 3*b**2 + 3*b. Determine 49*t(f) + 3*y(f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2474485 = z - 3*h, 228*h - 2474495 = -z + 229*h. What is z rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45.35 - 45. Let s = d - 0.55. Let i be 1\/((-6)\/(-13)) + -2. Put s, i, -1 in descending order.\nAnswer: i, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 2 - 2 + (-3 + 0 + 2)*(3*m - m**2 - 3*m))*(0*m + 4*m + 0*m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10605.999991983 + 10606. What is z rounded to seven dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 + 7.547. Let i = j + 0.053. Which is the closest to i? (a) -9 (b) 1\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:46 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 1 + 4 + 0 - 14 - 8*d. Let f be v(-3). Let h(r) = r**2 + 7*r. Let g(l) = l**2 + 7*l. Let z(p) = -4*g(p) + 3*h(p). What is z(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81056 and 11920.\nAnswer: 405280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 - w. Let z be k(-1). Calculate the highest common divisor of 98 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 46*f - 304. Let u be h(7). Let l(b) = 0*b + 5*b**2 + 3*b - b**2. Let o be l(-3). Calculate the greatest common factor of u and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562815200 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -90647*z - 84429?\nAnswer: -90647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 5. Let z = -3 - k. Solve u + z*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15329, -1\/3, -8, -0.04?\nAnswer: -15329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*v = -3*c + 2745, 0 = -5*v + 8*c - 17*c + 7*c + 205 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.052\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5775, 4504, 14807, 25140, 35509, 45920, 56379?\nAnswer: 66892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70024 - -49560. Let r = w + 2464. Let f be r\/(4 - (-1 + 4)). What is f rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 5:54 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582867 divided by 64763.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from lbblllbblllbllbllblj.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431011125 (base 6) to base 3.\nAnswer: -112022110010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 11. Let y be t(8). Suppose 2*r = 3*i + 14, -y*i = -0*r + r + 2. What is the units digit of i*((-1)\/4 - 14\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1355 + -22?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 100, 90, 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/844 and 35\/5094?\nAnswer: 2149668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 102847?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/2 + 157279*y**3 - 24736683841*y**2\/2 = 0 for y.\nAnswer: 0, 157279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145509 times 0.4?\nAnswer: 58203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-2404)\/16. Suppose -w - 5*q = -949, 2*w = 2*q - v + 2072. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*p**2 + 444*p + 123210 = 0. What is p?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13*g - 55 = 0. Suppose -3*b = -6, 4*b + 486 = g*m + 7*b. Suppose -y + m = 21. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/6)\/(h\/h**4)*h**(-6)\/h*h**5)\/((h**(2\/3))**46\/(h**(-3)\/h**6)) assuming h is positive.\nAnswer: h**(-233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 286993 from 0.4.\nAnswer: -286992.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -7438.\nAnswer: 7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25504 divided by 32?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1312475 and 705.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, -95 in decreasing order.\nAnswer: 3, 0, -5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -83. Solve -x = -0*x + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(770 - 405 - 636 - 2*k) as p + j*k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 + 120875*p + 120880 = 0.\nAnswer: -1, 24176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 1502874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -403, 1, 375, -4, 4 in decreasing order.\nAnswer: 375, 4, 1, 0, -4, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1472 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 93. Let a(c) = -c**3 - 11*c**2 - 8*c + 23. Let o be a(w). Solve o + 1 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157240*n**4 + 280*n**2 - 263063257 wrt n.\nAnswer: -628960*n**3 + 560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1776*n + 12784. Let d(w) = -64*w - 2. Let i(j) = -24*d(j) - r(j). Differentiate i(h) with respect to h.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -390*i**3 + i**2 + i - 1. What is the units digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = -l. Let m be -9*3*10\/(-18). Suppose p - m = l*p. Which is the smallest value? (a) 3 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -3 + -2 + 1. Suppose 2*u - 36 = 2*t + t, z*u = 0. Suppose -q + h + 0*h = -1, 3*q - 5*h = 9. Sort q, -4\/3, t.\nAnswer: t, q, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15424\/(-384) + 55 + (1\/(-4) - (-70)\/(-8))?\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 20*w**2. Let y(i) = 0*i + 6*i - 3*i. Determine y(l(v)).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 43*k**2\/2 - 5*k + 14. Is 14 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/156688 and -1\/17661.\nAnswer: 395323824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89023 - -156430. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 5*i + 3*i + (-4 + 4 - i)*(-22 - 53 + 18) + 4*i + 3*i - 6*i + (4 - 2 - 1)*(3*i - 7*i + i) in the form w + j*i and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4\/17*b**4 + 4\/17*b**2 - 2\/17*b**3 + 2\/17*b**5 + 0 = 0. What is b?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*d + 12, -20*d - 2*s = -21*d + 16. What is the lowest common multiple of d and 824?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 110. Let f(w) = w**3 - 6*w**2 - 9*w + 9. Let x be f(u). Is 64 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Suppose 3*y = -l*y - 45. Is ((-2045)\/y)\/(1\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6591 and 2327.\nAnswer: 1179789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:36 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from bbbybobrbbhbrrbbkrr.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18044 less than or equal to -18044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-13) + 25 - 562\/62?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 - 4*n**2 + n**2 - 5*n**2. Let i be ((-27)\/63*-1)\/((-1)\/(-7)). Let a(g) = g**3 + 3*g**2. Give i*r(x) + 8*a(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -9*j**7\/35 - 38*j**6\/5 - 1718*j**5\/45 - 568*j**4\/9 - 448*j**3\/9 - 3*j**2 - 17*j - 10. Let c(v) = 0. What is v?\nAnswer: -14, -2, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1162 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p**2 - 19*p - 6. Let n(i) = 7*i**2 - 9*i - 3. Let d(m) = -6*a(m) + 13*n(m). Let l be d(-3). Calculate the greatest common divisor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.67, -243, 5, 33 in decreasing order.\nAnswer: 33, 5, 2.67, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let w be (-17120)\/(-160) + -3*5. Suppose -3*h + 2*j - w = -6*h, o = -h - 5*j + 35. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/71)*l*l\/(l**26\/l*l))\/(l*(l\/l**9)\/l*l*l*l\/(l**(-36)*l)) assuming l is positive.\nAnswer: l**(-3836\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u + 0 - 4 + 4 as k*u + t and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3 + 6. What is b rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1674936 divided by 23263\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 72765 = -38*b. Suppose -11*r - b = -20*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**7\/105 - 4*p**6\/25 - 23*p**5\/25 - 2*p**4 - 5*p**3\/3 - 9*p + 17. Solve b(o) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Does 7 divide 94\/14 - t\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(18\/(-90)) - -36. Let s = l - -5. Solve 3*v = s - 51 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 9\/42) + 24\/(-16). Which is the closest to -2? (a) 3\/4 (b) m (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p**2 - 45*p - 326. Give z(-5).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21163*h**3 - 18360 wrt h?\nAnswer: 63489*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 - 18087*x**4 - 81793935*x**3 - 81775849*x**2 = 0.\nAnswer: -9043, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -26*n**2 - 22*n + 3650. Let g(u) = 14*u**2 + 12*u - 1825. Let z(k) = -11*g(k) - 6*t(k). Let w(b) = -b**2. Determine w(z(o)).\nAnswer: -4*o**4 + 7300*o**2 - 3330625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, r: 9}. Give prob of sequence rqqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -65*i**2 - 1108*i - 58. What is f(-17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 68. Let j(p) = r*p + 25*p - 49*p. Let q(t) = 19*t + 20*t + 5 - 33*t. What is q(j(u))?\nAnswer: -6*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 103. Suppose 5*x + 2*f = 154, -2*x + 3*f = -4*x + n. Let a = 176 + 64. Calculate the highest common divisor of a and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-2 - (-52)\/(-34). Let k be -2*(4405\/(-1870) - 0). Let r = a + k. Calculate the common denominator of r and 1\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -684, 1\/9, -0.1, 81 in ascending order.\nAnswer: -684, -0.1, 1\/9, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801851?\nAnswer: 131, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 23, 65, 157, 317, 563?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*i - 25 - 35, -3*d = i - 52. Solve -2*m = 2*m - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Suppose 4 = -j, -z + q*j + 6 + 1 = 0. Let r = z + 16. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 + 345*i**4 + 5270*i**3 + 26880*i**2 + 44000*i = 0.\nAnswer: -50, -11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 38940*l**2 + 272494*l - 233556 = 0.\nAnswer: 1, 6, 19463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**9\/168 - g**7\/105 + 3*g**6\/20 + g**5\/30 - 7*g**4\/24 - 127*g**3\/6 + 4*g**2 - 165. Find the third derivative of u(q) wrt q.\nAnswer: -360*q**3 - 48*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1080, 1082, 1084, 1086?\n\"Answer: 2*c + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 3. Let m be k(-3). Suppose 0 = -m*x + 3*x - 3. Is (2 - x) + -2 - -8 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -947 + 949. Solve -9 = -f*q - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0570649 to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/15 and -58\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/8 - 26339*u\/4 + 263415\/8 = 0. What is u?\nAnswer: -52683, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*h = -159, -5*x + 60 = 4*h - 205. Suppose -3*p = -x - 22. Let q(a) = -a**2 - 11*a - 21. Calculate the remainder when p is divided by q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -191.69?\nAnswer: 191.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(3 - (-80)\/(-28)). Let r = v - 25. Suppose 11*m = r*m + 1. Sort 5, m, -5 in descending order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2262 and 155\/174.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*d + 2309 = 0, -2*d = 5*j - d - 3885. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/68 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 1332. Let j(m) = 29*m**2. Give j(g(s)).\nAnswer: 261*s**2 - 231768*s + 51452496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1941 divide 26243527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182235.\nAnswer: 3, 5, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca87 (base 16) in base 9?\nAnswer: -188015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 1159, 1765, 2387?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -29*z. Let q(w) = -14*w**2. Calculate q(c(v)).\nAnswer: -11774*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 30, 42, 50, 54?\n\"Answer: -2*w**2 + 22*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/12)\/(((-28)\/(-63))\/(-2))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 15*b**2 + 5*b + 17. Is j(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 12 = -3*i, -10 = -4*h - 0*i - i. Is (-7)\/(-1) + (-1 + h)*3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26.16 and 55.4.\nAnswer: 81.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l = 60*l + 58*l - 7252 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -117 - 143. Is (3\/6)\/(s\/471080) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27\/(-675))\/((-6)\/5 + 1). Solve 0 + q*r**2 + 1\/5*r**3 + 0*r = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/270 + 7*p**5\/270 + p**4\/36 - 13*p**2. Factor u(k).\nAnswer: 2*k*(k + 3)*(2*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184873.\nAnswer: 13, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3970*g + 1976*g + 55044 = -1972*g. 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 ten thousands digit of 265929436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19680 + 11776 = -416*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.02 + 0.02. Let a = m - -1.9. Suppose 3*c - 2 + 8 = -5*n, 5*c + 10 = -4*n. What is the smallest value in n, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179286 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 - -80. What is the closest to 1 in 1\/4, 0, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67279*w + 1524*w**5 - 67279*w)*(0 + 4 - 6).\nAnswer: -3048*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s + 394 - 526 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 8987 = -32*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.8 + -13.8. Which is the nearest to -6? (a) z (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 46 = 2*o. Suppose 75 = -o*i + 55*i. Solve -5 - i = s + 3*x, 3*s = 5*x - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 174, 261, 348, 435, 522?\n\"Answer: 87*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.0622 and -38332.14?\nAnswer: 38330.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*t**5 + 4*t**4 - 4166*t**3 - 254*t**2 - 28597.\nAnswer: -13260*t**2 + 96*t - 24996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 4*v**3\/3 - v**2\/2 - 2*v + 4. Give i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + b**2 + b. Let q(f) = 3*f + 53 - 2*f + 3*f + f + 16. Let w be q(-14). Let g(h) = -8*h**3 + h**2 + h. Determine w*g(l) + y(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*k**3 + 34*k**3 + 33*k**3)*(1 - 1 - k) as w + v*k**4 + o*k + a*k**2 + m*k**3 and give v.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/9 + (-10)\/(-12)*-2. Let l be 31 + (-7 - a) + -1. Is l bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 10. Solve -o*n = -2, -n - 3 = 4*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:18 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 10*g**2 + 5*g. Let w be -10*-1*(1 + 0). Suppose w = m - 22. What is the remainder when z(9) is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -224731.3 * -3.\nAnswer: 674193.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 213 = -117 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from denn. Give prob of picking 1 d and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125935?\nAnswer: 5, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(136) - (sqrt(136) + sqrt(136)*-1))\/sqrt(8) + sqrt(17) + sqrt(17) + sqrt(425)*-1 + 2 - (-3 + 4*sqrt(17)*2*-2))**2.\nAnswer: -20142 - 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 37.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -465*p**2 - 10*p - 23. Let i(x) = -290*x**2 - 7*x - 15. Determine 8*i(c) - 5*l(c).\nAnswer: 5*c**2 - 6*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595159 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -541124 divided by -205\nAnswer: 541124\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -290\/14219, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -327*y - 70. Let g(b) = 45*b + 412. Let w be g(-9). Let i(j) = -163*j - 34. Let a(u) = w*i(u) - 4*m(u). Find the first derivative of a(l) wrt l.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -29*h**3 + 7*h**2 + 7. Let v(i) = 56*i**3 + 3 + 2*i**2 - 26*i**3 - 1 - 25*i**3 - 15*i**3. Give 2*d(m) - 7*v(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from sdudbeeh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16 - m + 19 - 12. Suppose -4 = 3*s + y, 4*s - 2*y + 7*y + 20 = 0. Is w(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31586006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l. Let x be (36\/10)\/((-1)\/(-10)). Let j be (-38)\/(-90) + (-8)\/x. What is the closest to l in 1\/2, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53115 divided by 5?\nAnswer: 10623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 + -6)) + -11 - (11 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 2. Let i(p) be the first derivative of 2*p - 17. Determine -4*i(m) - 3*r(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -30*s - 2. Let q be b(-8). Let p = q + -4996\/21. Let l = -2\/27 + -7\/27. What is the closest to l in p, 3, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 183\/9)*3. Find the second derivative of 15*k**3 + 26*k**3 - 57*k - 11*k**3 + p*k**3 wrt k.\nAnswer: 456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*r - 18*r + 2*r + 32*r to y*r + w and give y.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + 4*g - 4. Suppose 5*c - 3 = 2. Suppose c = 2*w - k + 4, -3*k = w + 19. Let b be x(w). Solve z - 4*z = -b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 + 5.56. Let p = -0.8 + k. Let w = -0.1599854 + p. What is w rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*g - 322, -5*f = -3*g - 166 - 237. What is the highest common factor of f and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, 3, 1\/3, -0.03, -21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*h**4 + 5*h**2 + 17*h**4 + 24*h**4 + 18*h to v*h**3 + u*h**2 + p*h + w + n*h**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7\/5 - 2\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 37 = -5*c, -5*c - 7 = 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n + 3. Let k(z) = 240*z + 216. Let y(o) = -k(o) + 72*s(o). Let w(c) = 23*c. What is w(y(r))?\nAnswer: -552*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5)**6)**(-16\/7) assuming l is positive.\nAnswer: l**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5 - 4*f + 4)*(-2 + 2 - 4*f)*(2 - 1 - 3) + f**2 - 3 + 4 - 2 + 4*f**2 - 13*f**2 + 8*f**2.\nAnswer: -24*f**2 - 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21285075.\nAnswer: 3, 5, 7, 40543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3262*r + 793*r + 4995*r.\nAnswer: 9050*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 788 and 110911?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002657 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053257?\nAnswer: 1053257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h*h**(-2\/3))**(-1\/4)*(h**(1\/3)\/(h*(((h**(3\/8)*h*h*h)\/h)\/h*h)\/h))\/(h\/h**0)**(-6\/11) assuming h is positive.\nAnswer: h**(-7\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 792 and 34056?\nAnswer: 34056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -23, -54, -109, -194, -315, -478, -689?\n\"Answer: -k**3 - 3*k**2 + 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4 - 45*b**3 + 233*b**2 + 45*b - 234 = 0?\nAnswer: -1, 1, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c - 1. Let o(v) = -v**2 - 22*v + 7. What is the remainder when o(-19) is divided by r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5835*u - 5831*u - 10 = 0, -2 = 5*q + 2*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - 9. Let o be b\/(-4) - 3\/6. Find the common denominator of (-1)\/(-16)*o + 1 and 123\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/5*((-70)\/5 + 4). Calculate the highest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732.6058 micrograms to tonnes.\nAnswer: 0.0000000007326058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmafi. What is prob of picking 1 d and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/6 - -8 - 0. Let t = 0 - -9. Let s = t - b. Calculate the remainder when 7 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 - -91.1. Suppose l - 3*l - 7 = r, 0 = -2*r - 2*l - 4. Which is the smallest value? (a) d (b) -2\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.95 - 24.45. What is the second smallest value in k, -7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2694*d**4 + 2*d**3*v - 3*d**2*v + 276*d*v - 5*v wrt d?\nAnswer: -64656*d + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230459935 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + -1)\/((-5)\/(460\/8)) is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3839\/143 + (-24)\/(-156).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1185 - -1184. Let u(i) = -6*i**2 - 2*i - 3. What is u(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -478688760 divided by -73194\nAnswer: 6540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7848*l**3 - 1635*l**3 + 234*l**3 + 553*l**3 + l**2.\nAnswer: -8696*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62946 in 0.2, 0.1, -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -288, -647, -1150?\nAnswer: -1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 0.5, -1\/6, -36086 in descending order.\nAnswer: 0.5, -1\/6, -0.4, -5, -36086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 39*x**2\/2 + 18*x - 4. Let q(r) = 11*r + 5. Calculate 5*d(u) - 18*q(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 2, w: 2, z: 2, r: 1}. What is prob of picking 2 z and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(260)\/(sqrt(245) + sqrt(5) - sqrt(5)))\/(sqrt(144) - (sqrt(144)*-3 - sqrt(144)))*3.\nAnswer: 3*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -82. Suppose -9 = 5*m + n. Let y be (m\/15)\/(15\/20). Sort -1\/4, -0.2, y in ascending order.\nAnswer: y, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 4*q**4 + 3*q**4)*(-5 + 1 + 2)*(-q + q - q).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3451 divided by 2\nAnswer: 3451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:50 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/2*g**2 - 1\/5*g - 1\/2*g**4 - 1\/5*g**5 - 2\/3*g**3 - 1\/30*g**6 + 1. Find k, given that i(k) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -21. Let m = p - 8. Which is the closest to 2\/7? (a) -2\/9 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hehehrhrevrrheeh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5 - k**2 - 6 + 2*k - 6*k. Let d be o(-3). Solve -d*n + 3 + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 16*c**2 - 10*c - 6. Let p be (-8 + -8 + (-366)\/(-24))*4. Let q(o) = 5*o**2 - 3*o - 2. What is p*m(k) + 10*q(k)?\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 2. Let s be z(-1). Let x = -19 + 21. Let g be s\/(x*(-3)\/(-6)). Let k(b) = 10*b**3. Calculate k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 10. Let s be n(-5). Let b be 29\/10 - (0 + -1). Let g = b - 17\/5. Is g != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*2\/(-6)*-3. Let t(v) = -v + 1. Let x be 1 + (-11)\/13 + 2505\/(-2171). Let s(r) = -4*r**2 + 4*r - 4. Give j*t(u) + x*s(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 8.2.\nAnswer: 139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + r + 7. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/9 - (-3)\/(-9). Factor 14*l**2 - 5*l + 21*l - o*l + 23*l + 8.\nAnswer: 2*(l + 2)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.601523km?\nAnswer: 4601523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13377 and 15.\nAnswer: 66885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/(-8)*(-44)\/(-14)*6 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836116259 to the power of 1\/3, to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6 - 15\/(-10). Do j and -5\/91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600168 divided by -600168.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y - 7*y**2 - 6*y + 6*y**3 + 18*y - 3*y - 2*y**2 + 1 to t*y + n*y**2 + f*y**3 + i and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7077*x - 980*x + 96250 = -153517 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139341 and 24.\nAnswer: 1114728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9018 = 4238. Suppose -1116280 = 5*x - w, x - 2*w - 2*w + 223256 = 0. Let r = d - x. What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**3\/3 + 5*s**2\/2 + 4*s - 1. Let v be 16\/12 + 5\/3. Is o(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5214, -4373, -3534, -2697?\n\"Answer: -x**2 + 844*x - 6057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a factor of 160698420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2 + (0 + 0 + 2)*(-2 + 4 + 0) + 1 - 1 + 2 + 2 - 1 - 2 - 3 - 1 + 5 - 2 + 2 - 4)*(-s - s + 3*s)*(6 - 5 + 3).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 = 16*m + 12. Suppose w - 4*l = 173, 2*w + 4*l - 5*l - 346 = 0. Calculate the remainder when w is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 458 = -426 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/5)\/v**(3\/7)*v**(-16)\/(v*v\/(v**(-16)*v)) assuming v is positive.\nAnswer: v**(-1121\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*r**3 + 4*r - 513*r**3 - 2*r**2 - 4*r.\nAnswer: 32*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 4. Let x be t(5). Let u be 27\/12 + x\/(-4). Determine b so that b - b**2 + b**3 + 0*b**3 - u*b + b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285255 and 594855?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 5*r + 5*r - 11*r + 217 - 179.\nAnswer: -r - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/14)\/((-36)\/8*34\/(-357)). Factor 0*x**3 - 6 + 9\/2*x**2 - q*x**4 + 2*x.\nAnswer: -(x - 3)*(x - 1)*(x + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -9\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -121120000221002?\nAnswer: -121120000220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 26*g + 49. Determine p(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2*u - 1)*(-368 - 1298 - 196)*(-u + 3*u + u) to the form o*u**2 + m + v*u and give o.\nAnswer: 11172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(17) + -2 + -2 + sqrt(17) - 4*(sqrt(51)\/sqrt(3)*-5 + -1)) + 4)**2.\nAnswer: 200*sqrt(17) + 10641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.2 and -11.4505.\nAnswer: 36.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15540*c**2 - 15333*c**2 + 30871*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 32489 + 31653 = 19262. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.4498826\nAnswer: -0.13496478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -45*m + 627. Give t(16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjjj when four letters picked without replacement from jjjjkjjjkjjjjjjkkk?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 48 + 3*n**2 + 205*n + 187*n - 6*n**2 + 192*n - 602*n = 0. What is n?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/5 - 26*p**3\/5 + 114*p**2\/5 + 298*p\/5 + 32 = 0 for p.\nAnswer: -16, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28686 divided by -6.\nAnswer: -4781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179935*m**3 - 13*m - 3273?\nAnswer: 1079610*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -559741, -559732, -559717, -559696, -559669, -559636?\n\"Answer: 3*f**2 - 559744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397575 divided by 26505?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 829206, 829449, 829678, 829887, 830070, 830221, 830334?\n\"Answer: -t**3 - t**2 + 253*t + 828955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(-93))\/((-2)\/(6*5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547176 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5 + 38*n**2 + n + 0*n + n**3 + 4*n - 32*n**2. Let d be x(-5). Solve -r + 2 = 0, 2*p + 10*r = d*r + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -21500.\nAnswer: -21499.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q + 250*q + 19*q.\nAnswer: 229*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538782992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 - 2 = 0. Let u(p) = -6*p + 7. Is u(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 15. Let m(n) be the third derivative of n**5\/30 + 3*n**4\/4 + 14*n**3\/3 - 152*n**2. What is the least common multiple of m(-8) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*c**2*m**2 - 7*c*f*m**2 + 2*f*m + 1560*m**2 wrt c?\nAnswer: 40*c*m**2 - 7*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:48 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689 divided by -8.\nAnswer: -689\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -12*d. Solve -3*u - 20 = d*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -12 (b) -0.4 (c) 2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 divided by -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17499 is divided by 5569.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 22. Let g = 15 + -19. Let l(b) = -3*b**3 - 2*b**2. Let w(u) = 12*u**3 + 9*u**2. Let v(n) = g*w(n) + s*l(n). Factor v(m).\nAnswer: -3*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 29*l**2 + 278*l - 2322. Calculate g(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 2*w**2 - 4*w**2 - 3*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -5\/4, -3, 4 in increasing order.\nAnswer: -3, -3\/2, -5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 14\/19?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*j + 19 = 219, -182 = 5*v - 4*j. Find the common denominator of -6 + ((-1)\/8 - 801\/72) and v\/(-30)*(-10)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 5)*(-4)\/8*-6. Let o = 2 - 4. Sort o, x, 4 in descending order.\nAnswer: 4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 27 = -9*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84050 by -41.\nAnswer: -2050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11624, 23228, 34832, 46436, 58040, 69644?\n\"Answer: 11604*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40721 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -216, -374, -632, -984, -1424, -1946, -2544, -3212?\n\"Answer: o**3 - 56*o**2 + 3*o - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1610201 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -7*j - 217. Let x = j + 52. Find the first derivative of 12*q + 20 - x*q - 4*q wrt q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75837*k*n**3 + 33*k + 618*n**2 wrt n?\nAnswer: -455022*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 806674?\nAnswer: -7\/806674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c927 (base 14) in base 11?\nAnswer: -768a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 11:28 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2189? (a) -4 (b) 0 (c) 5 (d) 2\/11 (e) 1\/3 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3)\/(((-9)\/880)\/(-3)). Which is bigger: f or -879?\nAnswer: -879","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 39 - 80 + 32 - 4 - 2*b**2 - 75.\nAnswer: -2*b**2 - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 36, 161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31231 (base 4) to base 8.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59200 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 3*x - 7*x. Suppose 3*c + 5 = 4*w, 0 = w + 2*c - 1 - 3. Let r(i) = 4*i**w + 0*i**2 - i**2. Give q(r(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 179980481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6531060 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1\/((-2)\/(-2)). Let p(a) = -a**3 - a. Let b be p(u). Let l(h) = -1150*h - 105803. Let f be l(-92). Sort b, f, 2, -2 in ascending order.\nAnswer: f, -2, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15901323*r**3 - 8220250 wrt r.\nAnswer: 47703969*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 230, 318, 408, 500, 594?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (sqrt(396)*1)**2 + 1 + sqrt(66)\/(sqrt(18)\/sqrt(3) + sqrt(6)).\nAnswer: 13*sqrt(11)\/2 + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -2\/9, 2\/43, 2, 22\/7 in descending order.\nAnswer: 22\/7, 2, 1, 0.4, 2\/43, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 4352?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 139, -5, 3, 6 in decreasing order.\nAnswer: 139, 12, 6, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14068*j**2 - 46*j - 53. List the prime factors of i(-1).\nAnswer: 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/45? (a) -0.022 (b) -3 (c) 7 (d) -2\/9 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -473 + 752. Let u = 278.9999889 - s. Round u to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 3 - 3 + 2*v**2 - 2*v**2 - v**2 + (2*v + 2*v + 0*v)*(3*v + 2*v - 3*v) - 2*v**2 - 2*v + 2*v in the form g*v + k*v**2 + c and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f - 124*f = 837 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Solve u = d*a - 2*u, u = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/10*276\/3. Let v = 49 + d. Suppose -4*g + 3*x = -168 + 39, v*g - 133 = -5*x. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*j + 1148 = -2*j, 4*u - 5*j = 925. Suppose 1722 = 64*d - 78*d. Let p = u + d. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344.912 - -0.088. Let o = l + -344.99999717. What is o rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3194194*a**2*c**3 + 231757*a**2*c**2 wrt c?\nAnswer: 19165164*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 56 = -5*g + 23, 5*f - 85 = -5*g. Calculate the remainder when 614 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4427.449 and -0.1.\nAnswer: 442.7449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86917 and -0.2.\nAnswer: 17383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/9, -46538, -3, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3679 - 5479. What is x rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u + 64*u + 112 = 0. Is (-12)\/(-3)*(3 + (-14287)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -18, 3 in descending order.\nAnswer: 3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 12000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -3\/2*m**2 + 0 - 3*m + 0*m**3 + 0*m**4 + 1\/4*m**5. Differentiate n(k) with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 + -202022?\nAnswer: -201214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11 - 18 + 9 - 269*a.\nAnswer: -269*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17531405861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, q: 1}. Give prob of sequence gcc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -11. Let i be (-3520012)\/16 - (-6)\/p. Round i to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038828 rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from rcrrppprcrpccptpc?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/218 and 37\/3.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9201 - 22028 + 6831)*(-m**2 - 4*m**2 + 0*m**2).\nAnswer: 29980*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -77406674 + 9467*b + 77406674 in the form n + s*b and give s.\nAnswer: 9467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/28 - 156\/(-7). Suppose -16*d + j = -14*d. Solve d = -2*g + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = 25*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 + -3082 - (-15 - (-1 + 3 - 0))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6 = -0*g + 5*n, -5*n + 7 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702205922 and 21351.\nAnswer: 7117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -35. Let k be 18\/(-63) - -1*v\/63. Is 0.1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15844231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-6)\/(-16)). Suppose -2 - 2 = 4*c, -u*l - 3*c + 401 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 0.3, 5, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-294)\/(-77) + (-2)\/(-11). What is the third derivative of -9*c**h + 8*c**2 + c**2 + c**3 - c**3 wrt c?\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-4\/9)*(y**(-1\/20)\/y)\/y*(y\/((y\/y**(-43))\/y))\/((y*y**(-3\/11)*y)\/y) assuming y is positive.\nAnswer: y**(-85799\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - 5. Let c = a - -69. Let k(y) = -2*y**2 + 126*y + 78. Let d be k(63). What is the highest common factor of c and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -833 - -1669\/2. Which is the second biggest value? (a) g (b) 10\/3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/4 + -2)*-21*(-390)\/2457?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n - 14 + 196 + 84 = 0. Solve -n*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -43. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 2 - -9 - (5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b**6\/b)*b)**(3\/8)*((b**(-1\/6)\/b)\/b)\/b*(b\/(b*b**(-1\/13)))\/b assuming b is positive.\nAnswer: b**(-218\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -46*w**3 - 3*w**2 - 5*w - 4. Let d(c) = 138*c**3 + 8*c**2 + 14*c + 11. Give -3*d(h) - 8*q(h).\nAnswer: -46*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 37?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8883249 rounded to 3 decimal places?\nAnswer: -15.888","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((a - 2*a + 2*a)*(-24 + 24 - a) - 9*a**2 - 12*a + 12*a)*(-14*a - 4 + 4).\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 161*g**2 - 1237*g - 1846. Calculate m(-153).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(0 + sqrt(931)) - (2 + sqrt(931))*-2) + 6*-2*(3 + sqrt(931))*6)**2.\nAnswer: 272832*sqrt(19) + 6622960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsid when four letters picked without replacement from sjidu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19172, 38318, 57462, 76604?\n\"Answer: -d**2 + 19149*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16539 and -1.164635?\nAnswer: 16537.835365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -48*h + 7. Suppose -4*w - 25 = w. Let l be x(w). Let r = l - 158. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120101 (base 3) in base 2?\nAnswer: 110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, c: 1, d: 1, k: 2, o: 1}. What is prob of sequence vk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 82214 divided by 5\nAnswer: 82214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -7. Let o be ((-4)\/3)\/(4\/(-150)). What is the highest common factor of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5452\/48987 + -1\/5443. Let n(a) be the second derivative of 0 + 1\/18*a**4 + g*a**3 - 6*a - 2*a**2. Factor n(j).\nAnswer: 2*(j - 2)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/2313 and 55\/23644?\nAnswer: 212796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22091 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661 a factor of 1717140796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15335095556 plus -0.5?\nAnswer: -15335095556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 174828047168.8 and 30.\nAnswer: 174828047198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 16*p - 18*p + 2*h, -169*p + 3*h = 528 + 142 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 160*d**4 + 6*d**3 - 2*d + 126. Let i(j) = -161*j**4 - 8*j**3 + 3*j - 126. Let t(p) = -4*h(p) - 3*i(p). Find the second derivative of t(q) wrt q.\nAnswer: -1884*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - s - 28 = 22, 0 = 2*v - s - 26. Let r = 2 - -1. Suppose 2*c - v = -c, -r*c = 3*u - 96. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**7)*y)\/y**4)\/((y\/(y\/y**(2\/7))*y)\/y*y)**15*(y\/y**(-1\/2))**32\/(y\/((y**2*y*y*y)\/y)*y*y)**(2\/13) assuming y is positive.\nAnswer: y**(1808\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-1)\/(-3) + (-85)\/(-51)). Let r(w) be the third derivative of -1\/48*w**4 + 0 - 8*w**2 + 1\/240*w**5 + s*w + 0*w**3. Factor r(m).\nAnswer: m*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 451924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Suppose 10 = 4*d - p, -2*d = -d - 4*p + 5. Suppose -d = -x - 0*x. Solve 2*b + n = -r, -x*r - 10 = 2*b + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77966.\nAnswer: 2, 7, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 + 4 = 0. Suppose -2*b + b = q. What is the tens digit of (3 - (b - 32)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -6723954?\nAnswer: -2\/3361977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 - 4090*l**4 - 135*l + 175?\nAnswer: 80*l**3 - 49080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41 and -1450700262.578?\nAnswer: 1450700221.578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 62*v**2 + 588*v + 7472. Give c(-12).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - (-17 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 17305?\nAnswer: 17301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1390*h - 6. Let j(a) = 18056*a + 80. Let t(p) = 3*j(p) + 40*l(p). Let w(f) = -f**2. Calculate w(t(y)).\nAnswer: -2050624*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37, 8, -49, -140, -271?\n\"Answer: -h**3 - 8*h**2 + 2*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 117018, 234057, 351118, 468207, 585330, 702493, 819702, 936963?\n\"Answer: y**3 + 5*y**2 + 117017*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Suppose -m - 10 = 5*u, 3*m + y*u = -1 + 4. Factor 8*c**4 - 4*c**4 - 5*c**2 + 2*c - 2*c**m - c**2 + 2*c**2.\nAnswer: -2*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6095 and 0.1.\nAnswer: 6095.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let f(q) = -15*q - 9. Let s(m) = 16*m + 8. Let n(c) = -6*f(c) - 7*s(c). Calculate n(j(y)).\nAnswer: -22*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918441.\nAnswer: 3, 19, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/5 (b) -12 (c) 1\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 146*g**4 - 9*g**3 - 9*g**2 + 7*g - 1152. Let r(k) = -74*k**4 + 5*k**3 + 5*k**2 - 3*k + 575. Let q(i) = -5*p(i) - 9*r(i). Differentiate q(d) wrt d.\nAnswer: -256*d**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 10*p + 176647. Is i(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 - 133?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 57, 48, 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcccbbcqbqcbb. What is prob of picking 1 c and 3 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -57, 30, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -19372*z + 135501. Calculate b(7).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -b + 30. Let y(v) be the second derivative of -1\/6*v**4 - 1\/15*v**6 + 0*v**3 + 0 - 2*v + 0*v**2 - 1\/5*v**b. Determine t so that y(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 5:28 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32877, 263011, 887657, 2104071, 4109509?\nAnswer: 7101227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5845, -11686, -17529, -23374, -29221, -35070?\nAnswer: -40921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 598226288 a multiple of 3334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 513802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 9*g - 111 = 4*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5630 and 7882?\nAnswer: 39410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeedeehehde. Give prob of sequence eeh.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 11*z**2 + 13*z - 11. Let f be t(-10). Sort 2\/7, -3, f, 0 in descending order.\nAnswer: 2\/7, 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {n: 1, m: 9, b: 6, f: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-3)\/15)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181.3 + 161. Let x = j + 22.12. What is x rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 43. What is the units digit of m(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00765477168 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10066 - -98595. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-14)\/(-126))\/(42\/(9\/(-3))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3 + 4*i - 6*i)*(-4*i - 4 + 4).\nAnswer: -4*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = -3. Let k(d) = -35*d**2 + 7*d + 28. Let l(v) = 12*v**2 - 2*v - 9. Let g(a) = q*k(a) + 7*l(a). Find the first derivative of g(m) wrt m.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 8*i - 5*i - 1)*(-100*i - 897 + 423 + 456).\nAnswer: 900*i**2 + 262*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14455 + 22452 = -1204*l - 28109 for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 + 2*q**3 - 7*q + 0*q**3 - 23 - 4*q**2 + 14. Let j be c(-3). Solve 2*z + z = j, -3*y = -3*z + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqadaaadqa. What is prob of sequence aaqd?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9494.6 millilitres in litres?\nAnswer: 9.4946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = y - 13, 5*l = -4*y + 3 + 25. Let g(z) = -z**2 - 8*z - 3. Let k be g(-5). What is the least common multiple of l and (-11 - 1)\/((-8)\/k)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.283, -1, -0.06, 0.4, 1\/7?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1684 = 197*d - 6373 - 414. Calculate the remainder when (192\/2)\/((-6)\/(-8)) is divided by d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - s = 10, -1020*z + 1016*z - 3*s = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + 2*n**3 + n**2 - 8*n + 17. Suppose 4*u - 15 - 17 = -4*a, 0 = -3*a + 6. Determine b(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/2*(-42)\/(-126))\/((-3)\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -31. Solve -7*x = -3*x - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/265 and 51\/80.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18009 divided by 621.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 78*j - 82*j + t, -2*j + 3*t + 8 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42415.01 rounded to the nearest ten?\nAnswer: -42420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 16 = k, 6*n - 24 = 3*n - 3*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 less than or equal to -108.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-12 + 47)) + -22 + (-2 - -4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 - 13*d**3 + 8*d + 2*d**4 - 4 - 7*d - 3*d + 3 - 4*d**2 in the form g + l*d**2 + a*d**3 + j*d + t*d**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2. Let m(v) = -5034*v**2. Calculate k(m(c)).\nAnswer: -50682312*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36108225*d**3 + 5*d**2 + 76533*d wrt d.\nAnswer: -216649350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, 215, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18924 divided by 3\nAnswer: 6308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 9 - 53*m - 38 + 54 - 9. Let u(j) = 14*j. Determine u(a(c)).\nAnswer: -686*c - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1395, 2058, 2689, 3288, 3855, 4390?\nAnswer: 4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -5, -0.0336 in increasing order.\nAnswer: -5, -4, -0.0336, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:57 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-212)\/(-32) - 7 - (-12)\/32. What is the second smallest value in 2\/9, r, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 20. Let r be v(0). Let l = 12 + r. Let z be 4 - 2 - 2 - l. Let i(h) = h**2 - 8*h - 7. Determine i(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, -180, -18\/23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 1. Let q(n) = 49*n**3 - 7*n**2 + 96*n + 6. Let k(r) = q(r) + 6*z(r). Find the second derivative of k(h) wrt h.\nAnswer: 294*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124215878.\nAnswer: 2, 719, 86381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/1207 + 1181\/31382. Is p < 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:35 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(-24\/11)*(l\/(l\/(l**(-1\/8)\/l)))\/(l\/l**(-3)))**(1\/27) assuming l is positive.\nAnswer: l**(-259\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/10, -0.5, 2\/5, -3 in descending order.\nAnswer: 2\/5, -0.5, -3, -33\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jouugjjojujgj. Give prob of sequence uu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 0 - (1 + 1). Let f be 1*4\/(12\/9). Let n be (-39)\/65 + f\/5. Solve n = 2*m + m - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639353167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100500 divided by -5025?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x**2 - 11*x**2 + 2*x**4 - x**4 + 2 - 2*x - 5*x**3 + 0*x as g*x**2 + u*x**3 + h*x**4 + t + k*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55832708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1\/24*q**6 + 3 - 3\/16*q**4 - 1\/12*q**3 + 0*q - 3\/20*q**5 + 0*q**2. Factor m(s).\nAnswer: -s**2*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 4, r: 1, k: 5, d: 2}. Give prob of picking 1 k and 1 v.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 275\/(-110)*144\/(-20)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 1. Let g(j) = -j**2 + 7*j + 3. Suppose 2230 = -5*z + 23*z + 2212. What is z*g(o) + 6*p(o)?\nAnswer: -o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 14423610?\nAnswer: -14423612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - -244?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6323 - 0.9323. Sort i, -1\/4, 0.27 in increasing order.\nAnswer: i, -1\/4, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 3\/(-6)*(-824)\/(-2). Let t = -150 - o. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-1*2)\/4). What are the prime factors of 1\/((-1 - 1)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.2, 2\/37, 1, 4.31?\nAnswer: 4.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 8*c - 944 = 0. Let x = c - -233. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/2))\/d)\/(d*(d*d**3)\/d))\/(d**(-1\/6)*d*d\/(d\/(d*d*d*d**2))*d*d) assuming d is positive.\nAnswer: d**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 538928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 293728 greater than or equal to 293729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5346573633 from -4.\nAnswer: 5346573629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 60*i = 64*i + 56*i - 175*i - 46, y - 9 = -8*i + 7*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.25801 and -3.\nAnswer: -0.74199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11226, 22470, 33744, 45060, 56430, 67866, 79380?\nAnswer: 90984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 + 16*u**4 - 39*u**3 - 46*u**2 + 140*u - 72 = 0. What is u?\nAnswer: -18, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10999225 is divided by 1374902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d - 205. Let y be r(-15). Solve -21*k = -17*k + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 36. Let i = -53\/3 + y. Let w = -0.589 - -0.289. What is the closest to i in 1\/13, -0.2, w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 s, and 1 f when three letters picked without replacement from {o: 2, n: 3, v: 1, s: 1, p: 5, f: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0*q**2 + 4*q**2 - 11*q**2 + 46 + 15*q - 47 + 6*q**2. Calculate z(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-28))\/(2524\/280 - 9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -5 - (9 - 21)) + 21 + -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83750 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h\/(h\/h**(-3\/4)))\/h))\/h)*h)\/(((h\/h**11)\/h*h)\/h))**(-4\/15) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81372 is divided by 10157.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/170 and 4986\/11960 + 0 - 178\/(-2047).\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4479 and 59\/30.\nAnswer: 44790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 20. Let a = 10 + -9. Let b(n) = -1 + 3 - 114*n + 4 + 110*n + a. Calculate -14*b(o) - 5*h(o).\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8706 by -35.\nAnswer: 8706\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -104. Let t = 82 - c. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2354 and 2784672.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 12*i - 1 + 135*i.\nAnswer: 123*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-18)*z\/(z\/(z*z**(12\/5))))\/((((((z*z**(-26)\/z)\/z*z)\/z)\/z)\/z)\/(z**(-19)\/z)) assuming z is positive.\nAnswer: z**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 6 - 6 - 2*f**2. Let j(q) = 21*q**2 + 5*q. Let i be (-12)\/4*21\/(-9). Let b(g) = -32*g**2 - 7*g. Let l(x) = i*j(x) + 5*b(x). What is l(o(d))?\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + o**4 - 2*o**4 + (-2 + 3 - 3)*(-17*o**2 + 17*o**2 - 56*o**4).\nAnswer: 111*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4\/3 - 7670*s**3\/3 + 181097*s**2\/3 + 10662498*s = 0. Calculate s.\nAnswer: -7693, -54, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soooloslliooooooioow. Give prob of sequence wi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v + 36*v = -3*x + 88, 2*x - 3*v = -2*v + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 + 4*a**4 - 4*a + 17*a**3 + 12*a + 6*a**2 + 14*a**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.021085 rounded to 2 dps?\nAnswer: 35.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*k + 1, -5*k + 2*k = -4*d + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 21 + 49 = 0. Let q = z + -26\/7. Let l be 0 + (-2)\/3 + (-21)\/(-18). Which is the nearest to 2\/9? (a) q (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 8. Suppose 0 = -4*g - 4*d + 28, 0*g + 5*d - t = -g. Let w = 9 - 2. What is the remainder when w is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5 + 3*h**5 + 53*h**3 - 53*h**3 - 10*h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4366 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*y + l - 12, 4*y - 4*l = -16. Sort -5, y, 7, 5 in increasing order.\nAnswer: -5, y, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 3*w)*(-37*w - 28 + 20*w + 18*w)*(-2 + 1 - 1).\nAnswer: -2*w**2 + 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368850253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -44*k + 190. Is y(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**2 + 2284*i + 760.\nAnswer: 4*(i + 190)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:53 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -36\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-924)\/60 + 3 + 13\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1513, 1481, 1451, 1423, 1397, 1373, 1351?\nAnswer: 1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 + -94.4. Let w = t + -16.9. Round w to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 3 - 2\/3*h**3 + 1\/2*h**4 - 2*h + 1\/2*h**2. Calculate s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*n + 6 = 0, 6 = 2*a + 2*n - 0. Suppose -2*g + 3*g + s = -4, 18 = 3*g - a*s. What is the derivative of 7*j**2 + 5*j**2 - g - 5 + 3*j**2 wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*238146.4.\nAnswer: 476292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1856324428 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*t + 7*t. Suppose -h - 2*q - t = 3*h, h + 2*q = 0. Let n(c) = -8*c - 5. What are the prime factors of n(h)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7896*l**2 - 8534*l**2 + 3 + l - 4 - 2*l to f*l + v + b*l**2 and give b.\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -20. Suppose 8*a + 111 = 5*x + 10*a, 0 = -x + 4*a + 31. Let m = 35 + x. Calculate the remainder when m is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*f, k + 4*f = 2*k + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*t**2 - 14386*t + 236963 wrt t.\nAnswer: 8*t - 14386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 12:13 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.05216 rounded to zero decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*i**3 + 16*i**4 - 905*i**2 - 19*i**4 + 903*i**2 + i as s*i**4 + d + h*i**2 + g*i**3 + a*i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/196*119*7\/((-175)\/(-20))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 423 + 3362. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q + 13. Let w be z(-8). Suppose -4*y + 325 = w. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292a1 (base 11) to base 12\nAnswer: 200ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 1, q: 1, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 6, 2, 4, -4 in increasing order.\nAnswer: -5, -4, 2, 4, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 694633, 694654, 694675, 694696, 694717, 694738?\n\"Answer: 21*i + 694612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64382*t**3 + 58058*t**3 + 22876*t**3.\nAnswer: 145316*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/50)\/((-153)\/(-153))*(-40)\/(-3)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -163, 0, -77, -2.\nAnswer: -163, -77, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2372020942 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 1\/280*j**7 + 0 - 1\/448*j**8 - 2*j**2 + 1\/160*j**6 + 0*j**4 + 0*j**3 - 1\/80*j**5 + 0*j. Find g, given that r(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, -569, 0.0279, -0.4 in descending order.\nAnswer: 4, 1\/3, 0.0279, -0.4, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Let h(r) = 4*r - f + 5*r**2 + r + 4. Let k(q) = -q**4 + 4*q**2 + 4*q. Let u(a) = -4*h(a) + 5*k(a). What is the first derivative of u(v) wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 429264*n**3 + 2575680*n**2 + 5151424*n + 3434304.\nAnswer: -4*(n - 107322)*(n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 239836645 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 8) to base 3\nAnswer: 220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -132*c*l - 3475*c + 11*l**3 wrt l?\nAnswer: -132*c + 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31531\/5 + -6306. Which is the nearest to 1\/9? (a) y (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 + 5*v**2 + 7*v + 5. Let b(g) = g**3 - 2*g**2 - 1. Let z(a) = 4*b(a) + x(a). Give z(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {v: 3, z: 2, c: 2, e: 6, p: 4, x: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921577349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**3 - 10*j**3 - 2*j**3.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -24. Suppose 2*p - 155 = z, -2*p - z = -f*z - 135. Suppose -p = -4*x + 100. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 2*z**2 - 1. Let q be m(2). Suppose 4*o - 1 = 3. Let p = o - q. Solve 6 = -p*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**3\/h*h))**(-2\/43)\/(h**(4\/11)\/h**(-2\/5)) assuming h is positive.\nAnswer: h**(-1586\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.986999 millilitres in litres?\nAnswer: 0.007986999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8061, 31400, 70013, 123900, 193061?\n\"Answer: 7637*v**2 + 428*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 24*n**2 + 27*n + 55. Let t(h) = -h**3 + 35*h**2 - 33*h - 11. Let j be t(34). Calculate the remainder when a(j) is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:42 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3479, 5, -1, -2\/5?\nAnswer: 0.3479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-6)*(-90)\/(-25). Let b = p + 31. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2715.591 millilitres to litres.\nAnswer: 2.715591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c - 4. What is u(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4072216490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*m - 5*m. What is the remainder when 39 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0182039 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15.04? (a) 5 (b) 9 (c) -3 (d) -3\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -3*(sqrt(171)*2*-6 + -4))**2*5 + 1.\nAnswer: -5546024 - 81000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 37)*(4 + 14)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*t + 10*t - 37*t - 5)*((t - t - t)*(-t + 0*t + 0*t) - 2*t**2 + t - t + (1 + 3 + 1)*(1 - 1 - 2*t**2)).\nAnswer: 121*t**3 + 55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -3*o**4\/4 - 7*o**3\/3 - o**2\/2 - 7*o - 4. Let j be h(-3). Suppose -34 - j = -2*r. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.598983 - -3.5661. What is g rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356 = -142*z - 1320 - 3444 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267514 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -83. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121088.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139070332?\nAnswer: 2, 284767583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 22 in descending order.\nAnswer: 22, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378295220 and 14450.\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a centimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t*t**(3\/4)\/t)*t*t\/(t**(3\/10)*t))**34 assuming t is positive.\nAnswer: t**(1003\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 - 4*y + 2. Let r be p(4). Differentiate -3*g**2 + 2*g**2 + 5*g**2 - 1 - r*g**2 with respect to g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0065138274 + 263.\nAnswer: 263.0065138274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 545*v - 539*v - 25*v**2 + v**3 - 3*v**3 wrt v.\nAnswer: -12*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + z + 141. Let w = z - 75. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-194)\/(-6) - 6\/(-90)*-5. Suppose 5*q - 43 = -3*r + i, 13 = q + r. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -45. Let o be t\/(-40) + 2\/8. Let x be o + 3 - (2 + -3). Solve x*m - 20 = -m, r - m = -8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2\/5, -4, 57851, -1.\nAnswer: -5, -4, -1, 0, 2\/5, 57851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56212)\/(-190164) + (1 - (-8)\/(-6)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11044 - 631?\nAnswer: -12005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-20))\/((-1)\/(-5)). Let r(k) = 11*k**3 + 4*k**2 - 2*k - 2. Let n be r(m). Suppose n = 5*y - 2. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 51. Let t = 29 + o. Let v be 3 + -2 + (t - 0). Solve -3*p = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-54) + 47\/9. Suppose -4*d + 31 = w*r, d + 0 = 5*r - 11. Find the common denominator of (-178)\/4 + (3 - r) and 42.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1867082, 1867083, 1867084, 1867085?\n\"Answer: m + 1867081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 6*q. Let w(z) = 3*z**2 - 5*z + 1. Let r(m) = 4*n(m) - 3*w(m). What is the tens digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 751 = 735 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/2079*9*3\/2)\/((-68)\/17)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3328.7404 to 1 decimal place.\nAnswer: -3328.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958196617.\nAnswer: 11, 5807, 77621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1921274? (a) 1 (b) -0.2 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 7. Let v be d(8). Let u = 7 + v. Let a = 4 - u. Sort 0, 5, a in increasing order.\nAnswer: a, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-25*(-4)\/20*(-132)\/(-10)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 12*i + 5*i = 25389. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015003858 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90949868 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4093*h - 1754*h + 77518 = -1841*h - 1357*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 7:15 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.2094 rounded to one dp?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaadasaxaeexeseeexx. Give prob of picking 1 a and 1 e.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4)\/(2\/22). Let n(q) = -q**3 - 18*q**2 + 19*q + 11. Suppose 0*m = -2*m - 38. Let i be n(m). What is the greatest common factor of i and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 452 + -452.4. Which is the second smallest value? (a) -0.3 (b) 19 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194225, -194256, -194285, -194312, -194337, -194360, -194381?\nAnswer: -194400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*m = -4*g + 126*m - 18, -2*g = 4*m - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5465090 divided by 5\nAnswer: -1093018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 2 + -22 + 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(3*10\/(-45))*17\/(-51). Suppose 5*g - 2*f = 254, -f - 206 = -4*g - 1. Solve -50*m + g*m = h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*v + 7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-9)*(3 + 0). Suppose 0 = -0*w + 5*w - h. Suppose -2 - w = 3*y, -5*y - 1 = 4*z. Solve -3*k - 5 = z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 146*b - 5. Calculate the remainder when o(1) is divided by (-71)\/(((-31)\/62)\/((-1)\/(-2))).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4772445.\nAnswer: 3, 5, 37, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*w = 0, 0 = x + 8*w - 10*w + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73835256 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 (v**(1\/2)\/(v*v**(-4)*v))\/(v*v\/(v*v*v\/(v*v\/(v**0*v*v))))**(-2\/163)*(v*v**4*v**(3\/4))**(-3\/10) assuming v is positive.\nAnswer: v**(4973\/6520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, -7 in descending order.\nAnswer: 0, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113464519, 113464524, 113464533, 113464546?\n\"Answer: 2*x**2 - x + 113464518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - (-130)\/8. What is the common denominator of (-4)\/9*(-186)\/v and ((-305)\/220 - -5)\/((-6)\/4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 3. Let l(w) = 5*w + 15. Let s(n) = 11*g(n) + 2*l(n). What is the units digit of s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -198*b**3 + 2*b**2 - 39*b - 41. Let v be g(-1). Solve 207*l - v*l - 54 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005181829 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c - 4*c)*(0*c**4 - c**4 - c**4) + 3*c**5 + 3*c**5 - 5*c**5 + (2 + 2*c**2 - 2)*(2*c**3 - 3*c**3 - c**3).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, 13, -169, 1.\nAnswer: -169, -3, -2, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5589 + 2*i - 2794 - 2795.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3552a6 (base 12) to base 2\nAnswer: -11010001110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56248.\nAnswer: 2, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/13115 + -1062299\/104920. What is the common denominator of -89\/12 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1422*q**2 - 18*q + 5. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 44.93.\nAnswer: 224.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 534.5 - -159231687\nAnswer: 159232221.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 > 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 - -52 - -37 - -39?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1262212.236 to the nearest one thousand.\nAnswer: 1262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l**2 - 3*l + 1. Let m = -26702 - -26700. What is h(m)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1666 - 250?\nAnswer: -2136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i. Suppose 0 = -4*l - 4*l + 16. Let h(n) = -3*n + 3*n + l*n - 5*n. What is h(d(c))?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -6297*q**4\/2 - 4*q**3\/3 - 2*q - 5. Let n be s(-3). Round n to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*i = 0, 4*w - i = -6*i + 45. Solve w = -5*a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*u**5 - u**4 - 4*u**2 + 5*u wrt u.\nAnswer: -2160*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzgzzzzdddpddzzd. Give prob of picking 1 g, 1 p, and 1 d.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1996 = 15*r - 509. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -5*f**7\/7 + f**6 + 284*f**3 + 232. What is the third derivative of l(d) wrt d?\nAnswer: -600*d**3 + 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(41180\/(-4575) + 9). Let h = -1 - y. What is the remainder when h is divided by 78?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5580 or 1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -700*d**4 + d**3 + 51816*d**2 - 22336078*d + 11 wrt d?\nAnswer: -8400*d**2 + 6*d + 103632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m - 8 + 8*m**2 - 6*m**2 + 1 - 3*m**2. Let p be n(7). Solve p*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 156, 365, 612, 909, 1268?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 246834, 493546, 740258, 986970, 1233682, 1480394?\n\"Answer: 246712*v + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**2 - 2*f + 4. Let m(s) = s**3 + 20*s**2 - 107*s - 1366. What is the lowest common multiple of m(-22) and y(4)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:36 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21204 - -22342102?\nAnswer: 22320343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-9 + 6)*2219\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**6\/10 + 3*v**4\/20 - 6. Suppose y(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1775009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -3\/34, 0.07, -3\/8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 7*o**2 + 5*o - 2. Let r be y(-6). Let l = 4 - r. Which is the closest to l? (a) -1\/2 (b) 4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:05 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -16*w + 20*w, k + 19 = 5*w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*t**3 + 170*t - 87*t - 2*t**2 - 109*t in the form i*t**3 + x + w*t**2 + p*t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*j + 12*j + 528. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2348364 and 26419095.\nAnswer: 105676380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4*-515898.6\nAnswer: 2063594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 1558?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5043899 and 43099?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6169703797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 31*y - 1182. Determine w(-25).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 1.2109.\nAnswer: -1.7891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 9*r**2 + 5*r**2 + 238*r**3 + 170*r**3.\nAnswer: 408*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.165 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -12 + 32 + 0 + -2 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - (-18 - -33 - -6) - (-1 - 6). Suppose -2*y = -2*c - 84, y - 44 = 2*c - 0*c. Sort b, y, 5, -2 in decreasing order.\nAnswer: y, 5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -393*m - 61717. Give i(-157).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*y**3 + 17*d**2 - 13*d*y**3 + 7*d*y**2 wrt y?\nAnswer: -6*d**2 - 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (334\/8)\/((3\/(-408))\/(-1)). Suppose -34*n = u - 90780. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 465489, 465309, 465009, 464589, 464049, 463389?\n\"Answer: -60*y**2 + 465549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 21*j + 53. Determine z(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9.3. Let p(u) = -u**2 + 2. Let c be p(2). What is the nearest to c in l, 2, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 6 - 3 + f**2 - 2 + 0*f**2. Let m be c(0). What is the closest to -0.1 in m, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by 765?\nAnswer: 83\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6*u - 10. Let z(o) = 1 - 4 + u*o - 3*o. Suppose -9 = -0*h + 3*h. Give z(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = l, 0 = -5*m - 3*l + 8 + 7. Solve -5 + m = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-609)\/(-30) + (-6)\/20. Let w = n - 20. Factor -8\/3*i**4 + 8\/9*i**3 + 10\/9*i**5 + 0*i + 0 + w*i**2.\nAnswer: 2*i**3*(i - 2)*(5*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13760 and 10?\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/5070 and -103\/26728.\nAnswer: 5211960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -90*s**3. Let k(f) be the second derivative of -13*f**5\/20 + 1864*f. Determine -6*j(w) + 45*k(w).\nAnswer: -45*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -149\/3. Let i = -45.5 + 7.3. Let q = 42.2 + i. What is the closest to 1.3 in -0.2, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 1\/2*m**4 + 0*m - 28 + 0*m**2 - 14\/3*m**3. Find the third derivative of o(k) wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 3, -3, 0 in increasing order.\nAnswer: -21, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -626 - -621. Which is the second smallest value? (a) -3\/19 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/12 + d**3\/3 + 2*d**2. Let c be r(-2). Let t(p) = -p**3 - 2*p**2 - p + 2. Calculate t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssgksggskssgsssssk. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -1. Suppose -f = 1 + n. Let q = -13 + 25\/2. What is the closest to q in -0.4, f, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636117 - 99445 = -17312*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 8. Let k(f) = f. Let i(c) = -k(c) - v(c). Suppose 5 = -2*s + 7*s. Calculate the remainder when i(10) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(143) - sqrt(143) - sqrt(143))*-4)\/(sqrt(33)\/sqrt(3)*4) - (2*(sqrt(65)*3 + sqrt(65)) + sqrt(65))\/(sqrt(15)\/sqrt(27)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11 - 9*l - 7 - 8 - 2 - 6*l.\nAnswer: -15*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001576073 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.24 - 7.41. Put 2\/3, -2\/7, u, 0 in ascending order.\nAnswer: -2\/7, u, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167799, -1342251, -4530017, -10737753, -20972115, -36239759, -57547341?\nAnswer: -85901517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97064040 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 + -140. Let b(p) = p**3 - p + 24. Give b(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 3*t - 11. Let r be s(5). Let b be (-606)\/(-10) + (-69)\/115. What is the greatest common factor of b and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -0.1, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58357\/16 - 3646. Let i be (-9)\/(-24) - (-115)\/56. Let x = -193\/56 - i. What is the common denominator of x and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -434*x - x**3 + 7*x**3 + 431*x + (23*x + 2*x - 7*x)*(-x + x - 2*x**2).\nAnswer: -30*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -s + 21. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21002 - -147440\/7. Let c be -2*31 + 2 + -1. Let n = c + i. Sort 0.5, -3, n.\nAnswer: -3, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11928624*k**4 - 10*k**3 + 109098207*k**2.\nAnswer: 286286976*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38312719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2223 + -23?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 46. Let w(o) = o + 8. Let h(v) = -6*w(v) - z(v). Let t(r) = r - 23. Determine h(t(x)).\nAnswer: -7*x + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214.2 or -0.1?\nAnswer: 214.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.3137 and -6.\nAnswer: 55.8822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 15 (c) -2\/11 (d) -0.015773\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2516 + -30?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o. Let d(l) = -12*l**2. Calculate f(d(v)).\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -153, -19 in increasing order.\nAnswer: -153, -19, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3311620?\nAnswer: 2, 5, 13, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (-24)\/(-1)*60\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6434119 to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2 - 19890305*h + 4065304*h + 0. Let r be n(4). Let y be (-6)\/9 - r\/3. Round y to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17705*p**4 + 4*p**2 - 359 wrt p?\nAnswer: 424920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11095302?\nAnswer: 2, 3, 1849217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171846691 rounded to three decimal places?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) + (-88)\/(-12). Solve -2*o - t = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-575)\/(-65) + (28\/(-91))\/(-2). Calculate the highest common divisor of 189 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 9523248.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r - 2 - 28*r**3 + 2 - 75*r.\nAnswer: -28*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 4*n**2 + 34*n - 7. Is j(4) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/((-21)\/(-42)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 7. Let h be q(5). Let n = -4 - -4. Suppose 0 = 3*w - j - 25, -2*j = -h*w - n*w + 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1865781, 3731572, 5597363?\nAnswer: 7463154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/7 + 23866*h**3 + 11701836*h**2\/7 + 192621888*h\/7 - 61912512 = 0.\nAnswer: -36, 2, 83601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 10:16 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*a + 1825*a = 86272 for a.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.318 or 1?\nAnswer: 2.318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5037\/20 - -252. What is the common denominator of w and (-2)\/2*94\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 - 7*b**2 + 32. Give a(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**29)\/((y\/(y*y**(-34)*y)*y)\/y) assuming y is positive.\nAnswer: y**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 2. Let i = -9 + 9.2. What is the closest to -1 in i, m, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*y - 8 = 0, -6*u - 4*y - 32 = -11*u. Solve 0 = 5*z + o - 19, -5*z + u*o - 3 + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3015925 divided by 11\nAnswer: -274175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85298*g - 23897*g + 103546*g + 245224*g.\nAnswer: 410171*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -69. Calculate the highest common factor of w and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -78*p - 3734. What is the least common multiple of 24 and y(-49)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from ankmppm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16107591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00310795083 rounded to 5 decimal places?\nAnswer: 0.00311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -5 (c) -1\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236060 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*a = -2, 0 = -5*l + a + 29 - 4. Let y = 14 - l. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 564 + -568. Let d be (-3 + 1)\/(2\/4). Does d = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934 divided by 467.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwffwdwwfwfffff. Give prob of sequence fdw.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - 9 = 0. Suppose 0*i + 4*i = -b - 240000, c*b = 3*i - 720000. What is b rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 - 8*y + 1. Give m(-5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -6, 4 in descending order.\nAnswer: 4, -2\/21, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(180) + 1).\nAnswer: 5 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 5. Let a(v) = v - 4. Suppose -l + 1 = 5. What is l*a(s) + 3*i(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1416, -2834, -4252, -5670?\nAnswer: -7088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 99 = -211. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124220796 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.72 - -0.78. Let k = 19.2 + -19.4. Which is bigger: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108 or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39071570 by 3.\nAnswer: 39071570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 187912 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 + 28*f + 197. Let p be u(-7). Let y(q) = -9*q**2 - 3*q + 2. Calculate y(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13474134*m**3 - 11*m**2 - 37565*m - 4?\nAnswer: -80844804","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -564663 - -2?\nAnswer: -564661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2670 - 2697) + -5 + 1 + -1\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(1\/2). Let x(w) = -1403*w + 2809. Let z be x(2). Solve 5*f = -3*k + 7, z*k + 0*k + a*f = 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0211 or 0.097?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 9*l - 5. Let q be o(-3). Let n(p) = -p**2 - 2*p + 7. Give n(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 24 = -4*m + 5*x, m + 5*x = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*-1 + sqrt(84))\/(sqrt(1452)*-2)*2.\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455 + 95 = 40*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnoh when four letters picked without replacement from {h: 4, n: 8, o: 1}.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0506113 take away -1.57?\nAnswer: 15.6206113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17612294.\nAnswer: 2, 7, 337, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 3545175218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.19 * -52.3.\nAnswer: -271.437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8153 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/108 and 71\/1008.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*1*-1*44022\/(-319)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/11? (a) -0.5 (b) -39\/2 (c) -49.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4366*k**3 + 295*k + 295. Let o(i) = 2332*i**3 - 139 + 143 + 4*i - 2391*i**3. Give 295*o(f) - 4*p(f).\nAnswer: 59*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.05 in 2\/7, 0, -199, 0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1018983 - 1018983 + 26*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9\/(-30) - (2115\/(-50) - 7) and 1442.\nAnswer: 10094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 51*z**5 - z**3 + 82*z - 905. What is the third derivative of w(i) wrt i?\nAnswer: 6120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271590*o**3 + 3108104*o**3 + 5985662*o**3.\nAnswer: 7822176*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) + -2*sqrt(171))\/sqrt(9) - (sqrt(475) - 2*sqrt(475)*2).\nAnswer: 2 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-4 - -7) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j + 83. Let z be h(-42). Let p = -5451596\/551 - -9894. Is z at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.52059 and -4.\nAnswer: -2.08236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*b + 9, -3*r - 3*b - 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24817464398535 - -5.\nAnswer: 24817464398540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -32165 and -31951 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + 34133?\nAnswer: 34301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*w + 136, 3*m + 253 - 165 = -2*w for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8677202 at least as big as -26031610\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {p: 1, j: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) 2946 (b) 0.6 (c) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10349860*f**6 - 10612*f**2 + 2*f + 163?\nAnswer: -1241983200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 28*d**2 + 8*d + 14. Let n be b(3). Solve 0 = -295*y + n*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + sqrt(68)\/sqrt(4) + sqrt(17)*-1*-4)**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71989 + -10?\nAnswer: 71979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00267291326 to 5 dps.\nAnswer: 0.00267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + g**3 + 2*g + 1 + 2*g - 2*g to a*g + c + u*g**3 + y*g**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 17*p**2 - 18*p**2 - 17*p**2.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 6:54 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2 + (-2 + 0 + 4)*(-5 - 1 + 4))*(5*p**2 - 7*p**2 - 78*p + 28*p) to f + d*p**2 + k*p and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1561, 13052, 44425, 105622, 206585, 357256, 567577, 847490?\nAnswer: 1206937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b**3 + 6*b**3 - 2*b**3)*(-2*b**2 - b**2 + 6*b**2) - 3*b**5 - 5*b**3 + 5*b**3)*(-4 + 1 + 1).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 6*b + 5. Let j be m(-6). Suppose -y + j = 3. Let p(v) = 3*v + 2*v**y - 3*v. Let s(a) = -2*a. What is s(p(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*y = 15, 7 - 3 = -4*j + 4*y. Let d be 5\/(-5)*(-1 + j). Suppose 2*g - 2*q - 8 = 0, 4*g + 2*q = -6 + 28. Sort d, 3, g in increasing order.\nAnswer: d, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 9*j**5\/20 - 173*j**4\/12 + j**3\/6 - 954*j**2 + 11*j - 27. Differentiate c(n) wrt n.\nAnswer: 27*n**2 - 346*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s**2 + 2*s - 3. Let y be b(1). What is the units digit of (0 + (-5)\/y)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7.98. Let b = s + -0.18. Sort b, -1, -0.4 in decreasing order.\nAnswer: b, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(440\/24))\/((-9)\/6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 4*x**2 + 3*x - 10. Let j be g(5). What is the highest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.36, -5.42, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -378603, -379752, -380901, -382050, -383199?\n\"Answer: -1149*u - 377454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 816*t**2*x**2 - 35*t**2 - 2882*t - 86*x**4 + 2 with respect to x.\nAnswer: 1632*t**2*x - 344*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1040825, 1040554, 1040283?\n\"Answer: -271*d + 1041096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1989 divided by 20?\nAnswer: -1989\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7 plus -14890.22209?\nAnswer: -14908.92209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = v, 3*v + 51 + 36 = n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25472843*b**3 - 1615965*b**2 + 3*b.\nAnswer: -152837058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 80766?\nAnswer: 1453788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 - 50*t\/13 - 132\/13.\nAnswer: -2*(t + 3)*(t + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167324, -331537, -495750, -659963, -824176, -988389?\nAnswer: -1152602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*q + 71 = 0, -f - 1 = -5*q - 0. What is the remainder when f is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-64))\/((-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 2325.\nAnswer: 4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71825*q - 1932 = -71848*q. Factor -q*v**2 + 4\/3*v**3 + 4096\/3 + 1280*v.\nAnswer: 4*(v - 32)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-5))\/5)\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1675298 to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6*(-1)\/(-84)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 15 (b) -26 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 61*x**6\/120 + 29*x**5\/30 + x**3\/3 - 106*x**2. Find the third derivative of y(s) wrt s.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v + 7. Let j be l(-2). Suppose 2*s - 5*t - 1 = -4*t, j = 5*s + 4*t. Solve 20 - 1 = 4*a - s*g, 3*g = 2*a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3. Let t be (0 + 5)*16\/20. Let a(i) = -i**3 + i - 1 + 3*i**3 - t*i**3. Give -a(h) - r(h).\nAnswer: h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897) + sqrt(6897)*-1 + sqrt(6897))\/((sqrt(54)\/sqrt(2))\/sqrt(9)) + (2*sqrt(171)*-5 + sqrt(171))\/(-1*sqrt(9)*2).\nAnswer: 31*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/42*(-6)\/(-8) - 267\/(-39).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6515252579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*b**2*c**2 - 15*b**2*c + 13*b*c**2 + 52*b*c - c**2 wrt b.\nAnswer: 60*c**2 - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 6, n: 1, x: 7, b: 1, w: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 take away 8203.79?\nAnswer: -8268.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**7\/l)\/l)**(-2\/95) assuming l is positive.\nAnswer: l**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 38*d + 297. Let n be y(-6). Let c be 6\/4*16\/12. Let o be 11\/n - c\/6. Solve -2*b + o + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9320.366 centuries to millennia.\nAnswer: 932.0366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37420)\/(-89808))\/(5*(-8)\/9).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) - (sqrt(14)\/sqrt(2) + sqrt(7))**2))*3 - (sqrt(112) + -3)) + 5.\nAnswer: -4*sqrt(7) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**9\/15120 + q**7\/2520 + q**4\/6 + 3*q. Let g(w) be the third derivative of c(w). Find the third derivative of g(a) wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, d: 1, g: 1, s: 1, k: 2, y: 1}. Give prob of picking 1 y, 1 d, and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11475 + -11000?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5366.18 + 249.28. What is u rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 25 = -2*c. Let o = c - 11. Let f(k) = -k**2 - k + 1. Let h(j) = 2*j**3 + 3*j**2 + 3*j - 3. Calculate o*f(w) + h(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 323*i**3 + 10. Let y(b) = 143736*b**3 + 4452. Calculate 2226*l(k) - 5*y(k).\nAnswer: 318*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**4*u - 13*f**4 + 4*f**3*u + 10*f**2 - 2*f*u + f + 11 wrt f?\nAnswer: 264*f*u - 312*f + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -323*j - 3609. Determine w(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 = 1. Solve j*g = -0*g + 3*r + 16, 3*g = -5*r - 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + j)*(3*j**2 + j**2 - j**2)*(-2*j - 3*j + 2*j + 3)*(-8 - 6 + 3)*(5 - 1 - 3).\nAnswer: 99*j**4 - 99*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (19926\/(-738) + 268\/10)*30\/(-32)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -29*o**2 + o + 67. Let t(x) = 1571*x. Determine t(s(w)).\nAnswer: -45559*w**2 + 1571*w + 105257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 11*a = 6*f - 61, -2*f + 27 = -5*a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (6 - (8 + -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 34*a + 12 = 0. Calculate the remainder when 22 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 16*o - 15. Let c be g(15). Suppose 3*y - 6*y + 54 = c. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(2\/12*8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Let o(g) be the third derivative of g**4\/3 + 4*g**2. What is o(l(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let z(w) = -w**3 - 2*w**2 + 2*w - 1. Let c be z(-3). Calculate x(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13712 - 13710. What is the second biggest value in x, 99.2, -0.3, 1\/4, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3723 = -3*f - 12405, 0 = -2*h - f + 5803. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244.1 - -244. Are 10 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 105 = -2*k - 213, -4*k = 5*x - 750. Calculate the highest common divisor of 112 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**3 - 7*u**2 - 4*u + 8. Let k(o) = -o**3 - o**2 + 1. Let b(v) = 4*k(v) - x(v). Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*z + 29*z + 108. Solve -3*p - r - 3 = 9, p - 3*r = z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, 4, 18.2, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67549631 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: Is 24126506 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:05 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36b775c - 8?\nAnswer: -36b7767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -7 + -5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**5\/24 - 8*f**3\/3 - 20. Let g(p) be the third derivative of w(p). Let r(o) = -6*o + 1. Calculate 3*g(z) - 2*r(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 963814 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-6) + (-50)\/(-4). Solve 0 = 6*g - 5*g - 5, -4*l = -5*g + j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 58. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 16) to base 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.62? (a) 0.3 (b) 1\/230 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 31489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from tftstststf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/((o**(1\/6)*o)\/o))\/o*o*o\/o**(-1\/9) assuming o is positive.\nAnswer: o**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5*s + 9 = 0. Suppose -2*a - 5*b + 21 = 0, -b = -5*a + 3*b + s. Let y = -15 - -18. Solve 0 = -y*k + a + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + 0.066.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 343440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -465, -1679, -4045, -7947?\n\"Answer: -64*f**3 + 2*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n**5 - 3300*n**4 - 24567*n**3 - 50718*n**2 + 6912*n + 71712 = 0. Calculate n.\nAnswer: -996\/13, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 8. Let v be c(7). Let f be 8*-1 - -2*v. Let k = f - -3. Sort k, 0, 5 in descending order.\nAnswer: 5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4))\/(12\/16). Let f = m - 0. Suppose -c = -f*o + 158, 8 = -c - c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7211\/12 - -601. Let r(p) be the second derivative of 3*p + 0*p**3 - 3\/2*p**2 - o*p**4 + 0. Differentiate r(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3.42356 centuries?\nAnswer: 342.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*s = -249, -4*u + 0*u - 5*s = -332. What are the prime factors of u?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5 - 4028*j**4 + 115664*j**3 - 1061332*j**2 + 2661934*j + 3842960 = 0.\nAnswer: -1, 8, 11, 1985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -25. Let c be s\/(-4) - (-9)\/(-12). Let p(i) = -i. List the prime factors of p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/66 - 13\/11. Find the common denominator of -57\/10 and 156\/16 - b - 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-28)*7\/2. Suppose 5 = 4*m + m, -i*t + 2*m = -436. Is 4\/(12\/t) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y + 25. Let o(h) = -h**3 - 16*h**2 - 15*h + 18. Let z(i) = -i + 1. Let c be z(16). What is the remainder when o(c) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxvb when four letters picked without replacement from xvbrkrtxk?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 + 307. Let a be (-39)\/i - 5\/4. Put 3, 9, a in descending order.\nAnswer: 9, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44481 is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 (base 8) in base 9?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (29 + -8 - 7 - (-57 + 89)) + 88\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*c + c - 3*c)*(33*c**2 - 19*c**2 + 33*c**2).\nAnswer: 47*c**3 - 94*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 7:30 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2335 = -4*k, -8*w + 5*w + 1767 = -3*k. Let p = 822 + k. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 0, 5*w = -2*k + 23 - 7. Suppose u = w + 1. Solve 0 = -a + 2*f, -3*a + u = 4*f - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 60 = 2*x, -1 = -x - 2*g + 9. Suppose 4*v + 0 + x = 0. Let z(u) = -2 - 2*u - 4*u + 4*u. Calculate z(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -1\/150*v**5 + 0*v - 23*v**2 - 1\/20*v**4 + 0 + 4\/15*v**3. Let q(x) = 0. What is x?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3 + 7 - 3)*(-j**3 + 4*j**3 - 28*j**2 + 26*j**2).\nAnswer: 6*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 110?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108))**2 + -3 + sqrt(3) + sqrt(3) + (sqrt(1200))**2.\nAnswer: 2*sqrt(3) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 128336*j - 128333*j, 3*p = -0*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 0, -5*y - 3*p - 2 = 3. Let g be (y\/3)\/((-2)\/4). Suppose 2*h = -4*r + 14, -h + 9 + 4 = 4*r. Sort g, -1, h in descending order.\nAnswer: h, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u - 5*u + (-1 - 3 + 3)*(-u - u - u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603584 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-144)\/(-120)*(-365)\/(-3). Let a(v) = v - 4. Let b be a(6). What is the greatest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546162 is divided by 109.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 divided by -6210?\nAnswer: -1057\/3105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1 + (0 - 14) + 21 + 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*d + 80 + 48, 3*u + 3*d + 96 = 0. Let b = 27 + u. Let q(g) = -3*g**2 - 5*g. Let r(y) = 2*y**2 + 3*y. What is b*r(i) - 3*q(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Suppose x*z + 6 = -0*o - o, 2 = 3*o + 4*z. Let f(c) = c**2 - 5*c - 2. What is the remainder when 10 is divided by f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 11*b + 4 = 0. Suppose 4*f + 168 = b*w, -2*w - 4*f = -3*w + 88. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*l**3 + 244*l**3 + 0*l**2 + 0*l**2.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14546 - 14781. Are -213 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231881 + 2597326. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 4. Let x be c(-6). Let u(g) = 0*g**2 + g - 4*g**2 + 11 + g**3 - 4*g**x - 2*g**3. What are the prime factors of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/14)*o\/((o**1\/o)\/o)*o*o\/(o*o**(2\/27))*o*o**7)**46 assuming o is positive.\nAnswer: o**(95611\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78767 is divided by 1212.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 995200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 514473035 a multiple of 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 39*u + 2. Let z be x(2). Suppose z = 2*r + 26. What is the greatest common divisor of 135 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651.2196 nanoseconds in minutes?\nAnswer: 0.00000001085366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - 49. Let x(h) = 5*h + 5*h - 9*h. Calculate x(a(y)).\nAnswer: 2*y**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1786691 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 28*q - 95 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 - 174. What is the closest to 9 in o, 3\/2, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2932, -11833, -26728, -47641, -74596?\n\"Answer: -4*u**3 - 2973*u**2 + 46*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6229 and -6908?\nAnswer: -43029932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27711553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1753\/4600?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 45735.\nAnswer: 365880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43\/19 - 591\/152. What is the third smallest value in y, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 21. Let h = z - 27.1. Which is the third biggest value? (a) h (b) -0.3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3313231231 (base 4) to base 8.\nAnswer: 3675555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 2. Let l be o(0). Let v be -6*(1\/(-1))\/1. Let y = v + l. Solve -y*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**4 - 3*c**2 - 3*c - 2. Let f(x) = -16*x**4 - 10*x**2 - 10*x - 6. Let h(l) = -6*f(l) + 20*g(l). Differentiate h(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 7*r - 28. Determine p(-7).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2\/5 - 179337948*z\/5 + 2680174966070892\/5 = 0.\nAnswer: 29889658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2460 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (49\/4)\/(5 - (-843)\/(-168)). Let k = -671 - z. Solve -10*u = -5*u - k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -276261 and 10.\nAnswer: -276251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2625 and 200?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0244 - 0.02440555. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**6\/40 - h**5\/10 - h**4\/8 + h**3 + 5*h**2\/2 + h. Let r(l) be the first derivative of m(l). Determine n so that r(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 21*h + 0 - 4 - 11. Let z(v) = -14*v + 3. Let c(y) = -5*y + 1. Let m(q) = 11*c(q) - 4*z(q). Give b(t) - 15*m(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 12*u**2 + 6*u - 1. Suppose 5*b + 22 = -4*s + 3*s, 2*s - b + 66 = 0. Let o = s - -21. What is the units digit of z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/55 and 59\/207620?\nAnswer: 2283820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b - 5\/12*b**4 + 0 - 90*b**2 - 10*b**3. Factor t(g).\nAnswer: -5*(g + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = n - 13, -1420*g - 1 = 5*n - 1417*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**4 - 1829*q**3 + 4*q - 7858387 wrt q.\nAnswer: 12*q**3 - 5487*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6431848\nAnswer: 5\/6431848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*v - 24 = 0, 21*v - 54 = -3*i + 18*v. Suppose -4*g - 16 = 0, -5*g - 36 = -4*k - 0*k. Let h = k - 1. What is the remainder when i is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = 40. Let b be (4 - t)*6\/9. Put b, -5, -2 in descending order.\nAnswer: -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(6\/5)*q**(-8) assuming q is positive.\nAnswer: q**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -18.75. Round m to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -13 + 7, -r + 3*k + 9 = 0. Suppose -6*n = -r*n + 144. Calculate the remainder when n is divided by (4\/(-5))\/((-4)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 61363443*t**2 - 313789375416240*t + 313789314052800.\nAnswer: -3*(t - 10227240)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23667\/478 - 3\/239. Let d = -887\/18 + i. Let x = -6 - -4. What is the closest to 0 in x, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0895681+-5\nAnswer: -6.0895681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5348 - 2669 - 126*d**2 - 2664 + 2*d - 157*d**2.\nAnswer: -283*d**2 + 2*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63137645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387537, -387848, -388695, -390348, -393077, -397152, -402843, -410420?\nAnswer: -420153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4453 and 331007.5.\nAnswer: 331006.0547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 0.6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -15. Let s(p) = 3*p**2 - 6*p + 2. Let o be s(-7). Let v = o - 947\/5. Sort h, 0.5, v in ascending order.\nAnswer: h, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 2*u + 4*u + (-u + 0*u - u)*(-19 + 4 - 4) + 5*u - 2*u - 2*u)*(1 + 0 + 2)*(2 + 2 - 5) as f*u + h and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172536773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/6 - -3) + 23750\/(-35670). Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/490 and -27\/10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**4 - 15*q**3 + 8*q**2 + 15*q + 3. Let n(u) = -25*u**4 - 180*u**3 + 95*u**2 + 180*u + 35. Let y(k) = -3*n(k) + 35*p(k). What is i in y(i) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8.83. Let r = -99 + 98.97. Let d = r - k. Put -5, d, -2\/3 in ascending order.\nAnswer: -5, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519586729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a + 18. Let m = 94 + -100. Does 24 divide x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4411638, -4411657, -4411712, -4411821, -4412002, -4412273?\n\"Answer: -3*h**3 + 2*h - 4411637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(13) - sqrt(78)\/sqrt(6)) + 0)**2 + 5 - 2*(sqrt(13) + -1)*-4).\nAnswer: -6 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 100, 396, 980, 1924, 3300, 5180, 7636?\n\"Answer: 12*s**3 + 72*s**2 - 4*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/34782 and -101\/60.\nAnswer: 347820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 4*r - 10, 2*w = -r + 35. What is the second derivative of 30*q + 2*q**4 - 10*q - w*q wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 4357560746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*62\/248.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 55. Let i = -697.5 + 697.1. What is the smallest value in 0.11, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -5944, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + 464. Suppose 4*t = q - 2*q - 307, 3*t = 2*q + s. What is the common denominator of -1\/22 and (q\/(-63))\/((-6)\/(-9))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64 + 4\/(4\/(-4)). Calculate the greatest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7307, 14613, 21919, 29225?\n\"Answer: 7306*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -11.57 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1202 and -62.57617.\nAnswer: -1264.57617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 474151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 466 + -212. Suppose -3*x = -4*t - 245, -2*x - u = -5*x - 5*t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/5 - l**3\/2 + 9*l**2\/2 - 3*l + 9. Let m(i) = 9*i**3 + 7*i - 18. Give -3*m(b) - 7*o(b).\nAnswer: b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 1847*b**4\/24 + 19*b**2. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(170)*-2 + sqrt(170) + sqrt(170) + sqrt(170))*3)\/(sqrt(1000)*2 + sqrt(1000)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*n - 72 = 6019 - 1113 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 95.\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23610 is divided by 9910.\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 78. Suppose -10 = 5*w - 3*q + 4*q, 3*w = q - 6. Let k = y - w. Which is bigger: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 6. Suppose -5*s + 2*z + 42 = 0, 3*s + 12*z - 16*z - 14 = 0. Calculate the least common multiple of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 1346?\nAnswer: -1884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5346*i**2 - 7*i + 29. Let w(v) = 5346*v**2 - 7*v + 27. Let x(b) = 6*c(b) - 7*w(b). Let k be x(-5). What is k rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h - 12*h**3 + 69*h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0863 and 0.2?\nAnswer: -0.01726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.32 rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5+3081786221.089\nAnswer: 3081786216.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5, -65, -1\/4, 32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-5\/9))\/((u**(17\/5)\/u*u*u)\/u)*u**15\/u**(-14))**(-14) assuming u is positive.\nAnswer: u**(-17738\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-156)\/(-72))\/((-5)\/(-30)). Find the second derivative of -80*l - r*l**3 + 20*l**4 + 16*l**3 + 226*l + 2*l**3 wrt l.\nAnswer: 240*l**2 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 502*g**2 - 6*g - 420*g**2 - 1 + 8*g to s*g + x*g**2 + t and give x.\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9046525 to the power of 1\/2, to the nearest integer?\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13760 and 1867060.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 9783, -11?\nAnswer: 9783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 14096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, b: 2}. Give prob of sequence bcb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let x(u) = -2*u - 1. Let z(r) = -3*r. Let i(j) = 4*x(j) - 3*z(j). Suppose -5122*l + 5194*l = 288. What is l*c(g) - 6*i(g)?\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11175? (a) 1\/10 (b) -0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z - 5499 = 12*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k - 1876 = -2630 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44211, 44210, 44209, 44208, 44207?\nAnswer: 44206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 193228\/2163*(-30)\/8. What is the closest to -0.1 in o, 2\/7, 4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 11. Let t(r) = -5*r - 5. Let y(p) = -4*a(p) + 9*t(p). Let o = 2009 + -2007. Determine y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k + 2. Let b be s(2). Solve -5*j - w + b*w = 23, 3*j = -5*w - 27 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5049 - -7866. Suppose -12*s + j = -3*s. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6269 divide 1829478799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 11. Let b be t(4). Let c(v) = -v**2 - 16*v + 10. Let q be c(b). Let r = -60 + q. What is the common denominator of r and -74\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -2255, -3398, -4559, -5744, -6959, -8210, -9503?\nAnswer: -10844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4414 (base 8) to base 7.\nAnswer: -6516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 95 = -3*w + 395, 0 = 2*n. Let i = w - 80. Solve -2*f - i = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 167*f**2 + 5*f + 4. Let a(y) = 166*y**2 + 4*y + 3. What is -4*a(d) + 3*g(d)?\nAnswer: -163*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*9*4\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 14. Let f(o) = 8*o - 250. Let r be f(20). Let q be (1 - 13\/15) + (-888)\/r. Calculate a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/40 - 2*h**3\/3 - 7*h**2. Let f(g) be the first derivative of r(g). Let o(j) = 12*j**2. What is f(o(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 507815986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a49 (base 15) in base 5?\nAnswer: -10024234","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8 - 1. Suppose t*m = -m. Let x = -37\/5 - -343\/45. Is x less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 51*s - 110. Let l be x(-54). Let v be 8*(-1)\/6*3. Let a be 104\/(v + 9\/2). Calculate the greatest common factor of l and a.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5708014*d*l**2 - 3571*d*l + l + 43 wrt l.\nAnswer: 11416028*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -12, -14, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 48508, 7, -108 in decreasing order.\nAnswer: 48508, 7, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28199551 to the power of 1\/2, to the nearest integer?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -2.4097.\nAnswer: 1.4097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*b**3 - 4*b**2 + 3*b**2 + 86*b**3)*(-4*b - b + 4*b) to i*b**3 + u*b + c + t*b**2 + s*b**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/5, 0, 0.9, -0.4, 12, 0.4 in descending order.\nAnswer: 12, 13\/5, 0.9, 0.4, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -28*u**5 - 64*u**4 + 684*u**3 + 256*u**2 - 656*u - 192 = 0.\nAnswer: -6, -1, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 2\/4 - (-99)\/2. Let t = -35 + d. Calculate the least common multiple of 34 and t.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2940*y + 2815*y = -125 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 337, 0, -6, -3, -5, -2 in ascending order.\nAnswer: -6, -5, -3, -2, 0, 38, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21602, 21219, 20836, 20453?\nAnswer: 20070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357758, -715514, -1073270, -1431026, -1788782?\nAnswer: -2146538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -95809 divided by 1\nAnswer: -95809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 1127\/24. Let h(g) be the third derivative of 3*g**2 - k*g**4 + 1\/15*g**5 + 2\/3*g**3 + 1\/120*g**6 + 0*g + 0. Determine h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2783367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 2*x + 9. Let j(n) = -12209*n**2 + 12209*n**2 - 2*n**3 + n + 4. Calculate 6*g(q) - 14*j(q).\nAnswer: -2*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 23*u**6\/15 + 4*u**3 + 34*u - 1. What is the second derivative of n(i) wrt i?\nAnswer: 552*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.5 and -9.\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g*g\/(g*g*g**(-8)))\/(g*g**(-2\/13)*(g*g**(-7)*g)\/g) assuming g is positive.\nAnswer: g**(1158\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 89 + 102 + 134 - 133 - 3*y + 10*y.\nAnswer: 7*y + 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 3*j + 2. Let l be k(-2). Suppose -3*d - 2*i = 715, 5*d + l*i + 1193 = -0*d. Let r = d + -523. What is r rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/9 - 29*x**2\/3 - 1535*x\/9 - 161 = 0 for x.\nAnswer: -63, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 14 = 3*i, -59*i + 58*i - 23 = -4*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t - 3. Let z be n(4). Suppose 0 = z*w - 4*a - 30, -4 = 2*a + 6. Solve w*m = -2*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**3\/3 - 259649*v**2\/3 - 519301*v\/3 - 259651\/3 = 0?\nAnswer: -1, 259651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320 + 323. Suppose -r + 2*n + 13 = -22, y*r = -3*n + 87. What is the remainder when 149 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 225?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 507\/13728*-24*(-264)\/143\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 2, m: 1, d: 1, p: 2, j: 1}. What is prob of picking 1 m, 1 o, and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:26 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*u = 7, -29*t - 3*u = -28*t - 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (-1 + 2)\/((-2)\/4). Let h be ((1 - z) + 2)*(-20)\/(-510). Let t be ((-1)\/2)\/((-5)\/20). Which is the nearest to 1? (a) h (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 9*h**2 - 2*h + 12. Let r(b) = 3*b**2 + 2. Calculate the remainder when d(4) is divided by r(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 699.1674 minutes to milliseconds.\nAnswer: 41950044","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, m: 2}. What is prob of sequence ll?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, -2, -14\/13, 3, -0.7, -3\/290?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106660715 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153850 is divided by 5698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -18 (b) 7 (c) 2 (d) -485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 7. Let y(w) = -w**2 - 2*w - 5 + 1 - 2*w. Determine y(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/28)\/(30\/(-105)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-26)*18\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in seconds?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 13. Let s(j) be the third derivative of -1\/6*j**3 - 1\/8*j**4 + 0 + 0*j + 1\/40*j**6 - 2*j**2 + 1\/60*j**g. Factor s(i).\nAnswer: (i - 1)*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-6)\/(-6))\/(1*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4*6\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 27*h + 27*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*d + v - 232, d - 5*v - 88 = 0. Let f be 4\/(-354)*d\/(-52). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*t**4 - 3*t**2 - 12 + 8 - t - t**4 to the form p*t**3 + w + i*t**2 + o*t**4 + q*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 102*r + 4 + 129*r + 3*r - 5*r + 0*r + (-4 + 0 + 3)*(2*r - 2*r + 2*r).\nAnswer: 23*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 36*s - 35. Determine o(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) -1.87 (b) -0.05 (c) -1042\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**5 + 2*u**4 + u**2 - u + 1. Let h(z) = -3*z**5 + 19*z**4 - 75*z**3 + 147*z**2 - 122*z + 38. Let o(g) = h(g) - 2*s(g). Find c, given that o(c) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*d + 169*d + 903 = -162*d + 714*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9460182.\nAnswer: 2, 3, 53, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/(r\/(r\/(r\/r**(-2\/7))*r*r)))\/((r*r*r**(1\/2))\/(r\/(r*r**(-6\/5)))) assuming r is positive.\nAnswer: r**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71942276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -11 + 1 + (-80 - 1). Let y = w - -94. Calculate the smallest common multiple of y and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1836 and 918.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0 + sqrt(3) + sqrt(12) + 1)**2 - (sqrt(21) + sqrt(168)\/(sqrt(8)*1 + sqrt(8)))\/sqrt(7))*5.\nAnswer: 245*sqrt(3)\/2 + 2540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 213414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8468.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:46 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1092 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 6*w + 8. Let b be v(-5). Let a = 6 - b. Suppose -a*k + 1123 = k - 5*q, 3*q - 1450 = -5*k. Calculate the greatest common divisor of k and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 4*q**4 - 2*q**4 + (0*q - q + 0*q)*(q**3 - q**3 + 2*q**3) + 33*q + 33*q**4 - 37*q**4 - 45*q.\nAnswer: -8*q**4 - 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 4) to base 13.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 12*y - 1. Let u be c(-12). Let g be 9\/3 + u - 2. Let b = 6 - g. What is the highest common divisor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4377*i**2 + 12*i - 16. Let c be u(4). What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146560 and 60685?\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 12*x**2 - 2*x + 9. Let f be l(12). Let h = f + 15. Suppose 0 = -b - h*b + 18. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from yucxyuqcdcxqcx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 306 - 15814*x - 135.\nAnswer: -15814*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 2.6. Sort 3\/2, u, 3, 1\/5 in increasing order.\nAnswer: u, 1\/5, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (11911 - -219)\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 64 = -3*g, 3*g - 93 = -4*q - 227. Let h = 110 + q. Calculate the highest common divisor of 30 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21472 = 2*r - v, 18*r - 14*r - 42950 = v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + 2*p + 3. Let g = -197 - -202. Suppose 5*w - 4*w + 4*s = 6, 2*w + g*s = 6. Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**8\/560 - f**7\/70 + f**6\/30 - f**3\/3 + f. Let d(i) be the second derivative of a(i). Solve d(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17069, -68367, -153893, -273641, -427605?\nAnswer: -615779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 - 16 - -25)*-5. Let r(z) = -7*z - 42. Give r(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 8. Let j be n(6). Let v(i) = -5*i + 2. Let l be v(-3). Let p = 19 - l. Solve j = -p*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -74?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + b - 5*b)*(3*b + 273 - 224 - 5*b) to the form c + s*b**2 + a*b and give a.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 23*v**2 + 15*v - 3. List the prime factors of q(30).\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -34. Find the second derivative of -11*k**p + 28*k**2 - 12*k**4 - 8*k - 17*k**2 wrt k.\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(4\/18 + 10\/(-18)). What is the units digit of s*(-13 + 12 - (0 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 9 = -5*p, -13*z + 2*p = -16*z - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 - 256.2. Let u = 0.2 + n. Let q = u - -19.0000023. Round q to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/60 and -79\/46578.\nAnswer: 465780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 24*m**2 + 22*m + 16. Let o be z(11). Suppose -3*x = -o*x + 286. What is the lowest common multiple of x and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35*(11 - (-910)\/(-98)) and 510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 348 - 344. Factor 0*c**3 - 2*c**2 + 0 + 2\/3*c**m + 4\/3*c.\nAnswer: 2*c*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - a**3 + a**3 - 1909 + 1910 + 2*a**4 - 2*a to the form z*a**3 + b*a**4 + t*a + d*a**2 + m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23552, 23475, 23398, 23321, 23244, 23167?\n\"Answer: -77*y + 23629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9030, -7954, -6878?\n\"Answer: 1076*p - 10106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14537, 4132, 2 in increasing order.\nAnswer: 2, 4132, 14537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 254. Let v = -145 + 147. Suppose -m = v - 15. What is the highest common divisor of m and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**4 - 1\/360*p**6 + 0*p - 3*p**2 - 1\/180*p**5 + 0 + 0*p**3. Suppose c(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 - 5500 - m - 27*m**2 + 25*m**2 - 2*m**3 + 5565 to q*m**3 + j + n*m + b*m**2 + g*m**4 and give j.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5798097 by 7443.\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3, 8*y + 6*r + 6 = 12*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 23*p**4\/12 + 4*p**3\/3 + 693*p**2 + 1594*p. Differentiate i(y) wrt y.\nAnswer: 46*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + -3*(sqrt(468) - (sqrt(468) + 0)))**2)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26088)\/(-15218)*2\/3*(-7)\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44032 divided by -11008\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28819 - -28823. What is the smallest value in -3, 1\/5, w, 1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffyffffffyfyf. Give prob of sequence ff.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 26042, -2\/17, -4 in ascending order.\nAnswer: -4, -2\/17, 1\/8, 26042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3013399325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4267*p - 8218. Give o(-2).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(33 + 6*l - 33)*(11 + 0 - 4).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(2\/33)*(f*f\/(f\/(f**(-1\/4)\/f)*f)*f)**17)**(-3) assuming f is positive.\nAnswer: f**(521\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 11*f + 494 = -13*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 600 = 41*s. Let a(l) = -l**3 + 5*l**2 + 4*l - 6. Let p be a(6). Let h = p - -39. Calculate the remainder when h is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*y - 25 = 0, 5*l - 29 = 2*y - 6*y. Suppose 0 = 10*z - l*z - 71. Let a = -15 + z. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*f - 36008 + 7315, 0 = -4*f + 16. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -439, -878, -1345, -1864, -2459, -3154, -3973, -4940?\n\"Answer: -4*j**3 + 10*j**2 - 441*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3315036*q**4 + 8*q**3 - 70762101*q.\nAnswer: -39780432*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3 - 233*o**2 - 6*o + 44?\nAnswer: 6*o - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7962, 7957, 7940, 7905, 7846?\nAnswer: 7757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0728888 (b) -0.5 (c) 0.5 (d) -1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-7)\/14*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42114691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*r + r + 21, p + r - 13 = 0. What is the smallest common multiple of p and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-784)\/(-5))\/(-14) - -11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 276*b**2 + 19173*b + 37250.\nAnswer: (b + 2)*(b + 125)*(b + 149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/3, -0.2, -37\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 126112098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3463\/1800 - -7\/200. Let y = -8\/213 - -22397\/852. Let u = 223\/4 - y. Calculate the common denominator of f and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(80) + -5 + sqrt(5)*3.\nAnswer: -17*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 26*w**2 - 1. Let b be x(-1). Let t = 16 - 9. Let n = b + t. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 17*a - 2. Let q(u) = -2*u. What is q(i(s))?\nAnswer: -34*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 78949339.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42700463.\nAnswer: 13, 431, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 27. Let a(g) = -g + 36. Let k(q) = 8*a(q) - 11*o(q). Suppose 5*i - 13 = 17. Determine k(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 + 239472*l + 1197292. Calculate u(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 + 12 = 0. Sort 2, 4, t in descending order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 0 + 5)*(-32*h**2 - 10*h**5 + 21*h**2 + 9*h**5).\nAnswer: 14*h**5 + 154*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -532*b - 423*b + 683*b. Let j(t) = 2*t**2. Calculate q(j(f)).\nAnswer: -544*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99 or 2\/1391?\nAnswer: 2\/1391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, 222\/11, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12927358 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-3)*276811\/635037?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10967.\nAnswer: 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2332 and 14628.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1240, -1835, -2420, -2995, -3560?\nAnswer: -4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**4 + 9*w**3 + w**2 - 8*w + 4. Let j(n) = 15*n**4 - 63*n**3 - 6*n**2 + 54*n - 27. Let p(q) = 27*f(q) + 4*j(q). Determine c, given that p(c) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-2))\/(-2))\/(((-3850)\/98)\/55)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 - 3*u. Let w be g(2). Let y be 4 - (w + -1*(-1 + 3)). Suppose 112 = 4*n - y*s, -3*s + 105 = 5*n - s. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84 + -157599?\nAnswer: -157515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (5 - 11) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5940.9 + -5\nAnswer: 5935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29983\/133224 + 5\/1281. Find the common denominator of -131\/84 and l.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*b - 8176*b**2 + 16351*b**2 + 23 - 8177*b**2)*(3*b + 4*b + 11*b) to l*b + t*b**2 + i + m*b**3 and give t.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 711 - 7. Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2*f**6\/15 + 2*f**3\/3 + 2*f. What is the second derivative of v(r) wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -62687, -62805, -62911, -62999, -63063?\n\"Answer: n**3 - 125*n - 62563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:36 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 715444*s.\nAnswer: s*(s + 715444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 1771?\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-12) + 35\/(-3). Is (-3)\/u + 1302\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -81*z + 33. Let h(w) = 5*w - 2. Let d(f) = 2*c(f) + 33*h(f). Let v be d(3). Solve -2*i + 5*x + v = 0, 2*x = -i - 3*i - 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -61*q. Let g(b) = -59*b. Determine y(g(i)).\nAnswer: 3599*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 63.085, 5\/6.\nAnswer: 0.05, 5\/6, 63.085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2995.07214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4522)\/68*(-90)\/(-36)*((-118)\/(-70) + -1).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkqizzrqzqt. Give prob of picking 1 i and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.6 - -110.6. What is the closest to -0.1 in 1\/3, o, -0.46, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s. Let z(w) = -2*w**2 + 173 - 173. Calculate t(z(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) - -6*sqrt(2880)*-1)\/(3*sqrt(48)\/(sqrt(12)*-2)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13008 and 1398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111650 - -781548\/7. Let k = 20.69 + -21. Which is the nearest to 1? (a) 0.2 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c - 9a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9722 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(189)\/sqrt(3)*-1)\/(2*sqrt(18)\/sqrt(2)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1112*o. Let h(g) = -1174*g. Give u(h(i)).\nAnswer: 1305488*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 169 + 3*s**3 + 2*s**3 - 3*s**3.\nAnswer: 2*s**3 - 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 2*sqrt(77) - sqrt(77) - sqrt(77))*-2 + (sqrt(77) - 1*-1*sqrt(77)))\/((sqrt(847)*-2 + sqrt(847) - sqrt(7)) + sqrt(112)*-2).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 5104303444.4?\nAnswer: -5104303444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 + -291. Let d be (-180)\/27*36\/2. Let r = n - d. Calculate the remainder when r is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 3*y**2 + 3 - y**2 + 2*y**3 - 4 - 7*y**2 to the form w*y**2 + n + k*y + z*y**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -95 - 97. Let p(x) be the first derivative of x**4\/4 - 2*x**3 + 6*x + 2. Give p(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i - 17*z = -82*i + 677 - 72, -115 = 5*i + 4*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4109\/3 - -1322. Let t = w - -48. Factor 1\/3 + 0*k - t*k**2.\nAnswer: -(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 345440349 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = v + v + 18, 5*j = 2*v + 21. Let k = -642 + 641.6. What is the nearest to -0.06 in k, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (841 - 0)\/(5\/(-1 - -31)). Let h = 75766\/15 - k. Calculate the common denominator of h and -17\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-3)\/(-9)). Let i = 1282 - 1282.1. Which is the closest to i? (a) -11 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 3*q)*(-q + 2*q + 0*q)*(4*q - 4*q - 6*q) - q**3 - 4 + 4.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from {r: 4, h: 5, b: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 255a7 (base 15) to base 8\nAnswer: 351157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.97 + 0.03. Let m = 11.9 - v. Let p = -1.52 - 0.48. Which is the biggest value? (a) m (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -136041\nAnswer: -7\/136041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 311636933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/15 - 1028*g\/15 - 13888\/3.\nAnswer: -2*(g + 80)*(g + 434)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3962854 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 11:22 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1.7, -4\/13, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/4, 0.03, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, 3, -1.\nAnswer: -202, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5461534138 to the nearest integer?\nAnswer: 73902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4)*o**(-1\/3)*o*(((o\/((o*(o\/(o\/o**(-2\/13)))\/o)\/o))\/o)\/o*o*o)\/(o**(-5)*o) assuming o is positive.\nAnswer: o**(149\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*sqrt(7)*-2.\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -168 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1164 - 130. Let o = 10385\/8 + c. What is the common denominator of o and -13\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 30. Suppose s = 14 - 9. Let z be 5\/25 + (-24)\/(-5). Solve 4*k + 4*i - 6*i - 6 = 0, s*k - q*i - z = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w**2 - 14*w**2 - 4*w + 4*w - 66685.\nAnswer: 2*w**2 - 66685","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149795803*t**5 - 116196087*t wrt t.\nAnswer: 2995916060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 57168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7. Let x(p) = 17. Let w(g) = 5*c(g) + 2*x(g). Suppose -z = -2 + 1. Let u(b) = 3*b + 4. What is z*u(s) + 3*w(s)?\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/9 + 54*t**4 + 26782*t**3\/9 - 186286*t**2\/9 - 150328*t\/3 - 238400\/9 = 0 for t.\nAnswer: -149, -100, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-617*y**2 + 100*y**2 + 504*y**2 - 248 - 2*y)*(-y**2 + 2*y**2 - 3*y**2).\nAnswer: 26*y**4 + 4*y**3 + 496*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 + 387. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h + 1. Let t be i(7). Let l be (6\/(-2))\/(-3 - (-36)\/15). Calculate the greatest common factor of t and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 84. Find i such that -2 + 26*i**2 + n*i**3 + 38*i**2 + 44*i + 15 - 5 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20111135 by -5.\nAnswer: -4022227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -274*t**2 - 196*t + 199. Determine g(1).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 15847\/1287) + 1\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -66.63. Let f = -26.37 - m. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c*c*c\/(c*c**(-8)))\/(c**(5\/4)*c*(c*(c\/((c*c*c**(2\/45))\/c))\/c)\/c) assuming c is positive.\nAnswer: c**(503\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, -8, -4, -3, 7, -58 in decreasing order.\nAnswer: 7, 5, -3, -4, -8, -38, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*x**3 - 213*x**3 - 3 + 1461*x**2 - 1461*x**2 to the form m + c*x**3 + z*x**2 + g*x and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-154) - 3744\/198. Let v(s) = s**3 + 19*s**2 + 4*s - 42. Calculate v(i).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12580 and 388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1654 + 2474. Round m to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -3*h + 513. Let c = -48 + h. Calculate the highest common divisor of 47 and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyyceeycceycyce. Give prob of picking 3 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -11. Suppose 3*l + 120 = q*l. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 + -0.1. Suppose 0 = 15*q - 12*q + 9. What is the biggest value in -3\/7, 3, b, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 17, 0.68, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 24*q**2 + 1488*q - 12. What are the prime factors of i(46)?\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f**2 - 30*f + 2. Let w be q(-6). Let s = 5 - 15. Let i = 9.8 + s. Which is the nearest to w? (a) 4 (b) i (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3 - 690*f**2 + 3*f + 149318 wrt f.\nAnswer: 3*f**2 - 1380*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5915)\/175 - -34)\/((-3)\/5))\/((-5)\/(-690)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 1845*h**2\/2 + 174767*h\/4 - 89229\/2.\nAnswer: (h - 1)*(h + 49)*(h + 3642)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12302.739 milliseconds?\nAnswer: 0.0001423928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-6))\/(2\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 34 and 177093.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((100\/(-15))\/(-20))\/(-6*(-3)\/342).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2\/2 + 12. Let r(n) = -13*n**2 + 2. Determine b(r(u)).\nAnswer: -13*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6684 - 3341 - 3334)*(-16*f + 16*f - 20*f**2 - 2*f**3).\nAnswer: -18*f**3 - 180*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/15))**(-5\/2)\/(((w*w*((w\/(w*w**8*w)*w)\/w)\/w)\/w*w)\/w*w\/w**(-5)))**(-37) assuming w is positive.\nAnswer: w**(-370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.984.\nAnswer: 2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5416851ng to milligrams.\nAnswer: 0.0000005416851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/2 + 579*k**2\/2 + 16488*k + 208224 = 0. What is k?\nAnswer: -24, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1666)\/(-28) + (-6)\/4. Calculate the greatest common divisor of n and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1120*n - 40 = 1124*n, -n - 28 = 6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4)*(-16)\/(-8). Suppose 2*r + 3*m = 13, 4*r = l*m - 0*m - 7. Let b = 4 + -3. Put r, 0, b in ascending order.\nAnswer: 0, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 10. Let c = -914 + 973. What is the remainder when c is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-650)\/104 - (-1 + 4)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*w + 5 - 0, -16 = -5*w - 3*q. Suppose -w*l - 1238 = -14*v + 11*v, 16 = -4*l. What is the highest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 2 - 7. Suppose -2*j + 18 = -0*x - 4*x, x = -4*j. Sort n, 0, j.\nAnswer: 0, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -11*l + 118, 5*x - l - 20 = 3*x. Calculate the remainder when 269 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -34*d + 1829. Calculate m(57).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-70.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5\/16 (b) 2\/353 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 2, y: 3, p: 4}. Give prob of picking 1 u and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022509491 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6330)\/9)\/((-12)\/(-90)). Let p be u\/65 - (28\/(-13) - -2). List the prime factors of 8\/(-2) + (-9 - p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 0 - 15 - 4*a**2 + 0*a**2 - 20*a.\nAnswer: -4*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1503843 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*r*s**2*y + 2*r*s*y - 3*r*s + 3*r*y + 2*s**2*y + y wrt s.\nAnswer: 40*r*s*y + 2*r*y - 3*r + 4*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 + 101*w**2 - 101*w**2.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16297013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + 0 + -2 - sqrt(720)) + -2 - (-2 + 5*(2 + 1 + sqrt(5)))) + -2)**2.\nAnswer: 190*sqrt(5) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 + 1302 + 18*n + 3*n**2 - 599 + 42*n.\nAnswer: 3*n**2 + 60*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f + 1. Suppose 0 = -2*g + 3 - 5. What is n(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - 6*sqrt(432)) + 5 + -3)**2 - (-2 + (sqrt(297)\/sqrt(275)*4)**2).\nAnswer: -144*sqrt(3) + 96918\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9901985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c + -4?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224 (base 6) to base 9.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74521 divided by -298\nAnswer: -74521\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-12) - 289\/(-68) - (9 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 4. Let w be j(3). Let g be 2296\/40 + (-4)\/w. What is the common denominator of 101\/2 and g*1*(-15)\/54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 73\/4077?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10398 divided by 9?\nAnswer: -3466\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 7) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - (-5 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 - 11*s**3\/2 + 9*s**2 - 105*s. Let v be c(8). Do v and -181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48450\/(-171)*30\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4552 (b) -118 (c) -4 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 7*o + 4*b, 426*o + 5*b - 4*b + 24 = 428*o - 3*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 280*f**4 + 337065*f**3 - 741300*f**2 + 470285*f - 66330 = 0.\nAnswer: -1206, 11\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22309 by 101.\nAnswer: 22309\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 547.20432 minutes?\nAnswer: 0.380003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1\/7 - 0\/32?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:09 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -289729 - -620239. Round b to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 11*h + 5*b + 15, -h - 3*b = -1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-3 - 2) - 522\/(-162). Put -0.4, 0, 1, p in increasing order.\nAnswer: -0.4, 0, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -q - 26. Let j be 2\/(-6)*(-8 + -586). What is the highest common factor of j and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -574.7 - -576. Let o = 1.56 - 0.26. Let f = h - o. Which is the nearest to f? (a) -2\/3 (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186199038 to the nearest integer?\nAnswer: 13645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -8\/5 (b) -4 (c) 2 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 847736?\nAnswer: 2543208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 48*w + 20. Let n be v(-18). Let o = n + -122. Solve -o = x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 8. Suppose 3 = -f*h - 3*o - 0, 3*o + 3 = -3*h. Solve -4*l - 3 - 5 = h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/9017487 and -17\/171.\nAnswer: 171332253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from oyyooobooboyooyoooy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/4 - 3*a**4 + 57*a**3\/2 + 33*a**2 - 111*a\/4 - 30 = 0.\nAnswer: -8, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198035, 198042, 198053, 198068, 198087, 198110, 198137?\n\"Answer: 2*s**2 + s + 198032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:31 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + -2 + 0 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/5*30\/(-12))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 40 + 2*p - 14 - 2 + 0*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Suppose -b - 1 - 10 = 0. Let o be (-1 + b)*1\/y. Solve o*n - 1 = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40288 + 0.3?\nAnswer: -40287.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-8)\/(-144)). Suppose -a = -3*c + 6*c. Let g be (2 + 0)\/(4\/(-6)). Put 1, g, c in descending order.\nAnswer: 1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7448266 + 66*x - 7448266.\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -540\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*c + 10 = 0, -c = 5*a - 21 + 7. Let n(f) = -10*f**3 + 19 + f**2 + 22 + a*f - 39. What are the prime factors of n(-2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**22)\/w)**(-26)\/(w\/(w*w\/w**(4\/3)))**36 assuming w is positive.\nAnswer: w**(-610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - 14.8. Let p = -25.2 - d. What is p rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/20 - (-16)\/(1600\/60).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 32005?\nAnswer: -32004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 144 = -6*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + u + u = 8, -d + 4*u + 11 = 0. Let t be (2200\/(-16))\/(d\/3120). Round t to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:19 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 10809.93 months?\nAnswer: 0.9008275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1756*t**3 - 973*t**3 - 980*t**3 + 215*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 17*j + 36. What is s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:02 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/195 and -56\/3.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 - 7. Let f = -2.4 - 4.3. Let l = 7 + f. What is the closest to 0.1 in l, 4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y**3\/9 - 16282*y**2\/3 + 15032*y\/9 = 0. What is y?\nAnswer: -1879, 0, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*w**5 + 76598*w**4 + 5*w**2 - 54*w - 352.\nAnswer: -660*w**2 + 1838352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d. Let m(g) = 3*g**2 - 2*g - 4. Let p(x) = m(x) - 2*u(x). Give p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 1. Let r(m) = 50*m**2 + 60*m + 60. Let z(y) = -60*c(y) + r(y). Let h = -131 + 139. Let l(x) = -6*x + 19*x - h*x - 4*x. Calculate z(l(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 3072\nAnswer: 1\/1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5.2*0.1\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058679819 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124157?\nAnswer: 11, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871, 845, 815, 781, 743, 701?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9078426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 2 = 2*y + 17, -4*y = 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 18*o**2 - 31*o**2 + 2*o - 14*o**3 + 6*o**3 - 7*o**2.\nAnswer: -8*o**3 - 56*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001 = 24*i - 63*i + 52. Calculate the remainder when 2859 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 5, 4 in descending order.\nAnswer: 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 o when four letters picked without replacement from {m: 7, q: 6, f: 1, o: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 9\/4, 11, 3 in descending order.\nAnswer: 11, 3, 9\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**5\/20 - 8*j**3\/3 - 9*j**2 + 2. Let g(q) be the second derivative of z(q). What is the derivative of g(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076911 to 4 dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxxxxxjxxxjx. Give prob of picking 1 j and 1 x.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 677*s - 15579. What is h(23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-19 + 36)*(-3)\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2010, 8276, 18716, 33324, 52094, 75020, 102096, 133316?\n\"Answer: -q**3 + 2093*q**2 - 6*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450755949 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29896, 59790, 89684?\n\"Answer: 29894*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -43 - (1 - (1 + 3)). Let w = 0 - l. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5472, 5468, 5462, 5454?\nAnswer: 5444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1170204 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0341309713 to three decimal places.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 1. Let s be q(11). Suppose -2*x + s = -8. Let p be x\/(-6)*-2*1. Solve 0 = p*h - 2*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.166404.\nAnswer: 0.166404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r. Let z(a) be the third derivative of 0*a - 5*a**2 + 0 + 0*a**3 + 7\/24*a**4. Give z(q(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 27822.56\nAnswer: 500806.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/30 - l**4\/24 + 2*l**3\/3 + 67*l**2 + l - 5. Let a(w) = 4*w**2 + 2*w - 9. Give -2*a(z) - 5*q(z).\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-1\/5)\/i)\/(i\/(i*i**10*i)*i*i))\/(i**(2\/17)\/i**2))**(-1\/46))**(-41) assuming i is positive.\nAnswer: i**(33743\/3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 688524*a - 15148016. What is j(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27277740*u**3 - u - 3277806 wrt u.\nAnswer: -163666440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/11)*f*f)**(-9\/2)*(f\/(f*f*(f**34*f)\/f))\/(f*f**(-18\/5)))**(-6\/25) assuming f is positive.\nAnswer: f**(14067\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6416 and 520.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 13) to base 7.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, -12, -1, -4 in descending order.\nAnswer: 4, -1, -4, -12, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(288) - ((sqrt(288) - -4*(sqrt(288) + 0)) + sqrt(288))) + 4))**2.\nAnswer: -7680*sqrt(2) + 115456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 5 (b) -3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/15, 3\/7, -1 in decreasing order.\nAnswer: 3\/7, 0, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 6. Let t be b(-4). Find the second derivative of -8*f**4 - 11*f**4 + 5*f**4 - 8*f + t*f wrt f.\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5296310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197065 - -197065.103397. Round i to three dps.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1045345641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - sqrt(76)*-1) + 3 + 1)**2 - ((sqrt(95)*-1 - sqrt(95))*4 - sqrt(95))\/(-2*sqrt(80)))*3.\nAnswer: 741*sqrt(19)\/8 + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from szsszs?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*d**2 + 11*d**2 - 1 + 1 to p*d + a + t*d**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 146038392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4 + 66*a + 0.\nAnswer: 66*a + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191278983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 + 59)\/(-1 - -2)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 70 = -3*n. What is the highest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.87 + -81.67. Let j = -76 - u. Is 9 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 2) in base 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 - 0.19. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m - 237. Let v be t(25). Let n(b) = -4*b + 48. Let g be n(v). Put g, -30, 2 in descending order.\nAnswer: 2, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(1 - 9 + 1)*(2135*o**2 - 78*o**4 - 2135*o**2).\nAnswer: -1092*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 17. Let y(w) = -w**2 + 5*w - 4. Let d be y(3). Let g be 9 + (15\/5 - d). What is the tens digit of z(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29e18b (base 15) in base 8?\nAnswer: -7555135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13) + 2 + 23 + -21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706057089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58982 is divided by 4913.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 25 = -4*q + 4, 4*z = -4*q + 20. Put 2950, z, -4, -2 in increasing order.\nAnswer: -4, z, -2, 2950","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126.717 - -0.283. Let f = 2.7392461 - -124.2612639. Let h = n - f. Round h to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*h - 5*n, -2*n + 10 = -h + 2*h. Let j = -7 + 13. Solve -4 - j = -h*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 265611?\nAnswer: -265612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 + 736*z + 32048*z**5 - 32568*z**5 + 1 wrt z.\nAnswer: -10400*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109\/72 - 1\/72. Which is the closest to -0.1? (a) v (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 17*h + 4. Let s = 0.49 - -0.01. Let z = s - 0.9. Which is the closest to h? (a) 0.4 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 3662?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121635 and 27.\nAnswer: 121635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2\/2 - 1697965*i\/2 - 848980 = 0 for i.\nAnswer: -339592, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**3 + w**4 + 788*w + 329 - 51 - 84*w + 216*w**2 + 234.\nAnswer: (w + 1)*(w + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**5\/30 + s**4\/8 + 15*s**2. Let a(b) = -b + 2. Let p be a(6). Let m(l) = -3*l**2 + 4*l. What is p*k(q) + 3*m(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.299, 5, -3\/14, -0.45, 2, 2\/3?\nAnswer: 0.299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -22) + (1 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32232199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*i + 740*i + i**3 + 1424 + 1420 + 709*i - 2844.\nAnswer: i**3 + 37*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 + 3)*(14\/(-12))\/((-26)\/78). Solve 24*y - 74 - w = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-4)\/(-8) + -5. Which is the third smallest value? (a) 2\/21 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 90, 132, 174, 216?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 3*c**2 + c. Suppose -2*j + j = -14. What is the remainder when o(5) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*g**4 - 30*g**3 - 5*g + 45*g**4 + 33*g**3 + 4 - 2*g as f + a*g**2 + s*g + p*g**3 + z*g**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195989 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73813456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -11*g - 209. Let p be x(-19). Let o(a) = -a**3 - a**2 + a - 32. Calculate o(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*h - 43222 + 39270 = 0 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = 5*q, -r = 2*r - 5*q - 34. Suppose -4*i = r*l - 252, -76 = -l - i - 3*i. Calculate the highest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 7848885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k + 4. Let o = -16 + 9. Let a be f(o). Suppose v + u - a = -2*v, -4*v - 3*u = -163. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1514 (base 13) to base 4.\nAnswer: -233303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49877 and -0.02.\nAnswer: 997.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b00 + 17?\nAnswer: 1b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, t: 11}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 + 4*p**3 - 4*p**3 - 13*p**4 - p**3 - 2 - 4*p**4 in the form m*p**4 + u*p + f + v*p**3 + t*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-3)\/2 - -3). What is the second derivative of 9*a**3 + 3*a - a - 7*a**r wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g)*g**0*((g**1*g)\/g)**(-2\/45))\/(g**(-3\/4)*g**(-2\/3)\/g)**16 assuming g is positive.\nAnswer: g**(1783\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 5*m - 1. Let t(u) = 4*u**2 + 9*u - 1. Give -5*p(i) + 3*t(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 239019310 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 49*g**2 - 75*g - 43. What is the thousands digit of a(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 13. Let p = -5 - -3. What is the remainder when p - 3\/(3\/(-10)) is divided by v(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -3 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739 = 258*z - 2644 - 7001 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a23 - 1466?\nAnswer: -a389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 4*f + 4*f)*(7*f + 8*f + 17*f + (-2 - 2 + 3)*(4 - 4 - f)).\nAnswer: -66*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 7*u + 3. Give i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -5e?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -23*t**2 - 5*t - 30. Let f(d) = -23*d**2 - 4*d - 24. Let w(l) = -5*f(l) + 4*u(l). Let s(i) = i + 18. Determine w(s(y)).\nAnswer: 23*y**2 + 828*y + 7452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/14*(-76412)\/(-42). Let p = 389 - i. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {i: 1, g: 1, u: 5, z: 3, x: 4, m: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003214 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:02 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214411, 428626, 642829, 857014, 1071175, 1285306, 1499401, 1713454?\nAnswer: 1927459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/35)\/(42\/49) + (-14)\/(-3). Solve 2*d + 4*f = 12, o*f - 8 = -4*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11 = 3*i, -i - 2*i + 3*a - 3 = 0. Let d(n) = 1 - 3*n**2 - 11*n + 11*n - 6*n**3. Is d(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g - 240 + 240 - g. Let n(o) = 9*o**2. Determine n(z(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04656 (b) -0.5 (c) 38 (d) 8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(-1*sqrt(28))\/sqrt(4).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/((sqrt(132)*5)\/sqrt(11) - sqrt(12)))\/(sqrt(700) - (sqrt(7) + (1*sqrt(77))\/sqrt(11))) + -4.\nAnswer: -4 + sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 257 + -183. Let y(q) = 12*q**2 + 23*q + 79. What is the remainder when y(-8) is divided by x?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/15 - 51\/(-45). Suppose 28 = 4*t + 4*g, 2*t - 3*g = t - 13. Suppose t*o = 9 + n. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-15) + 2\/6. Let g be (-2)\/(-1) + (1 - 1). Suppose -x*o + 12 = -g*p, -4*o + 0*o + 4*p = -12. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 + 12*s + 7. Let h be r(6). Let t = h + 45. Solve -t = 3*j - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1767 - -3133. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**5 - 7359*b**4 + 1090785*b**3 - 21574161*b**2 + 144634572*b - 301281120 = 0.\nAnswer: 4, 9, 135, 2296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -173517 and -173516 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7))**19*(w\/w**(-1))\/(w\/(w**1*w)) assuming w is positive.\nAnswer: w**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-10)\/(-20)). Let b(z) = z**2 - 2*z - 1. Let j be b(x). Solve 0 = j*n + 3*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1178158*o**3 + 264*o**2 - 48*o - 52 wrt o.\nAnswer: 7068948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9.2*-31\nAnswer: 285.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 98\/3. Let p = 14 + -15. What is the closest to n in 0.4, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -69969 and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -3*i - 10, -4*d - 2 = -i. Let x be 30\/(-8) + 1 + (-55)\/220. Sort 1, d, 0, x in ascending order.\nAnswer: x, d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -249 + 128 + u + u + 123. What is j(0)?\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 {z: 3, r: 1, u: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/75 + 1\/3. Suppose -9 = x - 5. Put f, 5, x in decreasing order.\nAnswer: 5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwiwwwwwiiwwwww.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 11) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 45 = 165. Suppose h = -3*h + u. What is the remainder when 24\/15*h\/3 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111574, -223111, -334660, -446227, -557818, -669439?\nAnswer: -781096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 680 = 2*r + 2*c, -49*c - 20 = -53*c. List the prime factors of r.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r = 4*r - 952 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 43*q**2 + 191 - 42*q**2 + 19816*q - 19788*q. Give u(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 42*t.\nAnswer: -2*t*(t - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 117900 = 22*u + 16*u. Is u greater than or equal to 4713\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579 and 1524893?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 - 10*b**2 + 6*b - 3. Let t(q) = -3*q**3 + 9*q**2 - 6*q + 2. Let x(z) = -4*j(z) - 5*t(z). Let m be x(-6). Solve 0 = m*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/3))\/y)\/y*y)**43 assuming y is positive.\nAnswer: y**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 301203, 1204911, 2711093, 4819749, 7530879, 10844483?\n\"Answer: 301237*p**2 - 3*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 13 - 9 - -17 - 33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -33, -2\/15, -16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 + 0 - 1 - 26*a**2)*(0*a + 2*a + 0*a).\nAnswer: -34*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*t + 3*s - 141, 0 = -4*t + s + 198. Let u be 33\/(-42) - (-14)\/t. Which is the third biggest value? (a) u (b) -2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -581 - -588. Solve -5*y = n + 7, -2*y - 4*n - c = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 58 = 5*h, -6*i + 2*h = -19286 + 19146 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/5328 and 119\/15984.\nAnswer: 15984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (520 - 530) + (-2 - 628\/(-52))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/1019 (b) 19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 3*w**2 - 3*w**2)*(-1 + 4 + 6)*(w**2 - 2*w**2 + 3*w**2).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 7. Let k be o(6). Let m be (k - 2) + (-8 - 1). Is 9828\/10 + (-2)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8631 - -8631.0007326. Round j to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16801.\nAnswer: 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 3\/19, -0.5?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 + 304. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and 0.281.\nAnswer: -1.3488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 15, 3*f = -4*a - 11 - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 56 (b) -1\/5 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 4, -14, -1 in increasing order.\nAnswer: -14, -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3436 + -13861\/4. Let m = u + 29. Let p = -7 - -6. Which is the nearest to p? (a) 5 (b) m (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2592 and -64\/855.\nAnswer: 246240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5458?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2419 and 64.\nAnswer: 15.4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*j - 60 = 148, 0 = 4*s - 2*j - 198. Solve -s = -27*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/8 and 54\/(-8)*42\/(-72).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 30. What is the remainder when l\/(-2)*316\/(-4) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 17 + 67. Let g be (-8)\/6 + (-5)\/x*-5. Let d = -14 + 15. Which is the nearest to d? (a) 0.1 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17310039839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -11.7, -1\/3, 3 in decreasing order.\nAnswer: 3, 0.02, -1\/3, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*i = -342*i - 9 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (416 - 6)\/(5\/(5\/2)). Let u = o - 200. Let w(g) be the third derivative of -g**6\/120 + g**5\/12 - g**4\/8 + g**3 + 2*g**2. What is w(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1388 = 707. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3) - 2\/3. Let n = -20 + 79\/4. Suppose 13 = -4*x + 2*u - 5, -2*u = 5*x. What is the second smallest value in x, n, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4637648.6 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 5*c**2 + 2*c + 1. Let b = -121 - -126. Give u(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-164)\/460 + (-88)\/2024. Sort 1, -1.1, p, 10 in decreasing order.\nAnswer: 10, 1, p, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -538.\nAnswer: -537.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s + 6. Let u be q(3). Let y = 22 - u. Suppose -3*m - 5*a = -163, 4*a + y = 2*m - 71. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 4, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-162))\/((-34)\/(-306))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6982.466 centimeters?\nAnswer: 69824660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10016 a factor of 2782324608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 - -385.7. Let z = 34.3 - 33. Let h = v + z. Which is greater: 2\/3 or h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 148.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/20 - 3*w**4\/4 + 4*w**3\/3 + 5*w**2\/2 - 3*w. Let o be m(8). Let q = o + -3. Which is smaller: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:17 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -0.1, -3, 628 in ascending order.\nAnswer: -3, -1, -0.1, 1, 2, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 7*t**4\/6 - 5*t**2\/2 + t. Let k be ((-9)\/(-4) - 3)*4 - 1. Is p(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/528 and -77\/240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*c = 111, -5*w + 33*c = -25453 + 25432 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Suppose m - 25 = 3*q - s*m, 15 = 3*m. Suppose -2*h + 4*z - z = -22, 5*z - 10 = q. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 - 2)*(2*y - 4*y + y)*(-6*y + 0*y + 4*y)*(1936 - 1936 + 7*y**2) to the form f*y + a*y**4 + s*y**3 + j + m*y**2 and give a.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 2, b: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135 or 128?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypyyppp. Give prob of sequence pyyp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/909909 and -37\/458843?\nAnswer: 53684631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047046937 rounded to 7 dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 32. Suppose v = t - j - 3, -j + 2 = 3. What is the smallest common multiple of 9 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-1 + 1 + 3)*(-2*f**4 + 0*f**4 + 0*f**4).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/3))\/p*p)**(4\/33) assuming p is positive.\nAnswer: p**(28\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**9*t)))\/(t**3*t)*((t\/t**(-1\/3))\/t)**(-1\/12))\/((t**(2\/9))**16*(t**(-2\/7))**(-6\/11)) assuming t is positive.\nAnswer: t**(2089\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839679383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:30 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -3340, -7466, -13230, -20632, -29672?\nAnswer: -40350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1484, -2902, -4314, -5720, -7120, -8514, -9902?\nAnswer: -11284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/70)\/(10*30\/4725))\/((-1)\/(-14)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 - 18*f + 127. Suppose -36 = -14*h - 400. Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = -w, 52*w = 50*w + 4*t + 6. Suppose -4272 = -3*b + 10*j - 7*j, -4*j = w*b - 7129. What is the greatest common factor of 57 and b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.42384 to 2 dps.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143954*t - 7770 = 143732*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = 90. Suppose 2*c + 42 = 5*x - 33, -2*x + d = 3*c. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*t = -115*t - 24. Let f(u) = 2*u**2 - 25*u + 17. Is 42 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12633 or -12634?\nAnswer: -12633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 8*g - 166 - 42 + 56, 0 = 4*l + 2*g + g - 35 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:44 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 19*w**2 + 46*w + 36. Let f be r(16). Solve f*z = 287 - 267 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4533.7 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 620 + -28. Suppose 11*r + 5*r - g = 0. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9671 by 9671.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 25, 3, -1, 5, -9439 in decreasing order.\nAnswer: 25, 5, 3, 2, -1, -2, -9439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 16 = -3*x, 250*z = 247*z + x - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7304 divided by 2?\nAnswer: -3652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2. Let k(c) be the second derivative of 0*c**2 + c + 0 + 0*c**3 + 7\/12*c**4. What is g(k(i))?\nAnswer: 196*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avmhhnz. What is prob of picking 1 a and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -65?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/12*(-24)\/60\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**3*v - c**3 + 513*c**2*v - 9*c*v + 6338*c wrt c.\nAnswer: 72*c*v - 6*c + 1026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 287 - 161. What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/6)*h*h))\/((h\/(h\/h**(-8)))\/h))\/(h**2)**(-7\/9) assuming h is positive.\nAnswer: h**(151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52777925 divided by -1.\nAnswer: -52777925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 382276, 5, -11?\nAnswer: 382276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1)*-6 + 0. Let l = 0 - 0. Suppose -a*f + 7*f = l. Solve 5*c - c + 12 = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*-1 - (-2 - -2). Suppose -4*l - 13 = -y + 4, 4*l = 2*y - 14. Let h = l - j. What is the third smallest value in h, 1\/6, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -243. Let o = 168 - i. What is the fourth smallest value in -0.1, 74, 4, o?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145296 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -2.9. What is the nearest to 0 in 0.4, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110836992 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -324, 18, 13\/6?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 608441276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 38325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 39709649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32401, -31648, -30397, -28648?\nAnswer: -26401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -74*r**3 + 26*r**3 + 4 - 18*r + 17*r + 28*r**3 - r**2 + 18*r**3. Let b(g) = -g + 1. Let i be (1\/(-2))\/(2\/(-4)). Calculate i*c(n) - b(n).\nAnswer: -2*n**3 - n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 12675*d**2 - 8274240*d - 303713280 = 0. Calculate d.\nAnswer: -1248, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 25*v + 557. What is s(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a5a (base 11) in base 13?\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(275 - 275 - 188*r**5) + (0*r + 0*r + 2*r**2)*(0*r**2 - 3*r**2 + 2*r**2)*(0*r + 2*r + r).\nAnswer: -382*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -354*z + 2817. What is m(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 divided by 35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*i + 157, 2*i + 1 = -t + 30. Suppose -6 = d - 0*d. Let q = t + d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 6, 193*a - 191*a - r = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1440)*3 - sqrt(1440)) + (sqrt(1440) - (sqrt(1440)*-2 + sqrt(1440))*-1))\/(((2*sqrt(100))\/sqrt(2))\/(2*sqrt(250))).\nAnswer: 300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c + 4 = 70*c. Suppose -3*x + 2180 = n - 367, -c*x = -n - 3403. What are the prime factors of x?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let z be i(-3). Let t = -4 - -4. Suppose 3*j - 3 = -3*p - t, 3*j = -6. Solve -3*u - 5*x = -7, -z*u + p*x - 7 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 25, -8*c - 13*r + 18*r = -3433. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3390077610 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1633 + 1673. Solve -4*q = -14*q - u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/8 + 30121*m**2\/4 + 346656*m.\nAnswer: -m*(m - 60288)*(m + 46)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = i, -3*i + 4*g - 26 = -9. Suppose 1 + 4 = 5*q. Let x be q + i + -4 - -3. Which is smaller: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxxxnxxxxx. Give prob of picking 1 x and 1 e.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -362061 - 39?\nAnswer: -36209a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 55097*b**2 + 1114094*b + 275080.\nAnswer: (b + 20)*(b + 13754)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 250.3947 minutes?\nAnswer: 15023682000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1072, 1076, 1080, 1084?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482019919 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**(-42)*a**(-3\/7)\/a*((a*(a*a**(-3))\/a*a)\/a*a)\/a*(a**(-1\/19)*a*(a**(-2)\/a)\/a)**(6\/19) assuming a is positive.\nAnswer: a**(-11100\/2527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 21*b**4 + 69*b**3 - 24*b**2 - 105*b + 25. Let a(d) = 10*d**4 + 34*d**3 - 12*d**2 - 52*d + 12. Let p(r) = -7*a(r) + 4*z(r). Let p(w) = 0. What is w?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7414c (base 14) in base 8?\nAnswer: 1043130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -11, -1297, -2\/9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -4357123.25 rounded to the nearest 1000?\nAnswer: -4357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 8. Let z be p*(0 - 3\/(-6)). Let o(u) = 2*u - z - u**2 - u**3 + 0*u**3 + 0*u**3. Calculate o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*g**5 - 2*g**3 + 6850*g**2 + 42451204*g?\nAnswer: 2840*g**3 - 12*g + 13700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Solve 19 = m*q + 4, -s - 2*q = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/(-102)*21\/(-364).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -1\/7, -3\/2, -1.1, -44, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 + 14 = f, -90 = -5*f - 3*i. Suppose 11*h = 2*h - 54. Let j be 53\/3 + -2*(-2)\/h. Which is bigger: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((((i**0\/i*i)\/i)\/i)\/i)*i)*i)**(1\/58))**(-19))**(-13\/2) assuming i is positive.\nAnswer: i**(-741\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -184*n + 6713. Calculate r(36).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:10 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3307\/5 - -19097\/30. Let t be (5087\/10)\/((-12908)\/(-35)). Let m = t - 2\/461. What is the common denominator of m and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54853173020 and 41?\nAnswer: 54853172979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h*m**3 - 175*h*m - h + 9*m**5 wrt m.\nAnswer: -102*h*m + 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204550663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 179.6. What is the closest to 0 in 0.3, 4, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10942928 divided by -2735732.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 4. Suppose 4*f + 5 = -15. What is j(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 - 8*r + 2 + 0*r - 4*r**3 + 6*r**2. Calculate a(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 7afe5a?\nAnswer: -7afe56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76743*n**2 + 2*n + 138638.\nAnswer: 153486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((-2*((2*sqrt(176) - sqrt(176)) + sqrt(176) + sqrt(176)) + sqrt(176)*-1 + -1)*1)**2*5 + 3.\nAnswer: 280*sqrt(11) + 43130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 432, -323, 2?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-112)*-26)\/((-748)\/(-408)) + 2\/22?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-143928)\/(-15))\/12*5 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 291*x + 11. Is g(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050522 to 5 decimal places.\nAnswer: 0.00505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5320436 is divided by 5396?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(15)\/sqrt(3))**2 - (sqrt(245) - (-2*sqrt(245) - sqrt(245)))**2)*4.\nAnswer: -15180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 8baca70?\nAnswer: 8baca86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4376*h. Let y(q) = -38*q**2 + 2. Calculate y(t(x)).\nAnswer: -727676288*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 264\/(-242)*572\/(-26)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -595*j**2 - 52 - 3*j - 9*j + 605*j**2. Does 7 divide k(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(300) - (-2 + 0 + sqrt(300))**2) + -3*(sqrt(300) + sqrt(300) + -1) + 3.\nAnswer: -298 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**5\/5 - 2907*c**4\/5 + 36882*c**3\/5 + 1526202*c**2\/5 - 1967571*c + 15018129\/5 = 0.\nAnswer: -981, -21, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 11929812.\nAnswer: 11929820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 h when three letters picked without replacement from {h: 5, f: 1, t: 2, d: 10, q: 2}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.08 - 1.3. Let f = 15.22 + k. Let t = f - 15. Which is smaller: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*t = 34, 145*i = 141*i + 5*t - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 998*w - 212. What are the prime factors of z(1)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408674 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12119, 5, -2, -19, -1 in decreasing order.\nAnswer: 12119, 5, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 7. Let d be (-98)\/(-12) - (-3)\/(-18). Suppose d = -2*o + 3*o. What is the lowest common multiple of k(-6) and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1572, 0, 2 in increasing order.\nAnswer: -1572, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617*g + 155078 = 4279*g + 554*g + 599*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l = 30*l + 5*c, 2*l - 3*c = -19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*p**3 - 135*p**3 + 3*p**2 - 3*p**2 + 371*p**3 + 2.\nAnswer: -190*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -94. Which is the nearest to 6? (a) 5 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102*p**4 + 1374 - 553 + 108*p**4 - 54*p**2 wrt p?\nAnswer: 24*p**3 - 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 + q + 1. Let h(v) = 11*v**2 - 4*v - 2. Let f(r) = 3*h(r) + 8*n(r). Let j be f(4). Does 7 divide j\/1 + (11 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*((y\/((y\/((y**(-11)*y)\/y))\/y))\/y*y)\/y)*y*y\/(y\/(y*y**(-9)\/y))*(y**(-4))**(-2\/11))**(-2\/21) assuming y is positive.\nAnswer: y**(-82\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2 - 14. Suppose 22*m - 27*m = 4*l, 0 = -5*m - l. Suppose m = 25*t - 712 - 238. Calculate the least common multiple of t and q.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000079893 rounded to 6 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*m + 28140 = 211*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 66*m. Suppose -5*f - q = -0*q - 2462, -2*f + 5*q = -1001. Let j(k) = -242*k + f*k - 250*k. What is j(p(d))?\nAnswer: 2*d**2 + 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.494532 months in millennia?\nAnswer: 0.002291211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.8 - -1.88. Let l = o + 5.92. Let v = 11 - l. What is the second smallest value in v, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32045 and 53040?\nAnswer: 1538160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1038 * -0.3\nAnswer: 311.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3526 + 3524 - 10592 - 3*b**2 + 3542 - 19*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 80?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -5 - (-3 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*k = 7, -3*m + 4*k - 75 = -52 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -428 divided by -2234\nAnswer: 214\/1117","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 6883*r**3 - 6882*r**3 - 138 + 125 + 126.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:02 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/9 - (-36)\/27. Suppose 14*a = t*a + 14. Which is smaller: 17\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1116 - -2309. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three eighths of a millennium in years?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 123438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and 12.4?\nAnswer: -446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (62\/120 + (-1233)\/1644)*(-12)\/(-42)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27611251 to the nearest integer?\nAnswer: 5255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:33 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2357, -4730, -7131, -9572, -12065?\nAnswer: -14622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (10 - (4\/1)\/4). Let x = -0.4 - -0.3. Which is the nearest to 0? (a) s (b) x (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6042\/(-477))\/(40\/(-48))*(-1 + -4).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i + 27. Let k be x(-5). Suppose 4*n = 3*v - 22, v + 3*n + 16 - 6 = 0. Find a such that -6*a**v + 13*a + 4 + k - 3*a**3 - 10*a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/45920 and 99\/266?\nAnswer: 872480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985 = -6*w + 1061. List the prime factors of w.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 4\/3, 2\/639?\nAnswer: 2\/639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s - 42. Does 30 divide y(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from uccccbbwbcwcccwbccc?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 68\/6*(99\/22)\/(-2*7\/28)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1642110 divided by -1?\nAnswer: 1642110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - -1 - (-19 + -2 + 20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3385, 5918, 7647, 8572, 8693?\n\"Answer: -402*v**2 + 3739*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13199506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 14.24. Let t = f + 1.76. Sort t, 3, 1 in descending order.\nAnswer: 3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.47 + 0.07. Let a be ((-2 + -10)*8\/(-72))\/(-6). Let n(k) = 2*k + 1. Let o be n(2). What is the third smallest value in d, o, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*l - 156 = 642*l + 87 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 4*o = -3*o. Is 8 a factor of (-3)\/((o + 1)*6\/(-26))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2*(7 + 203\/(-21) + 3). Let u(s) = 2*s**2 - 2*s. Let v be u(2). Which is the nearest to n? (a) v (b) 1\/5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/1512*(11 + 171)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r + 17. Let y be x(-7). What is the second derivative of 20*u**4 - y*u + 43*u - 16*u wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) - (-2)\/(-7). Suppose v + x*v = 5. Suppose -2*l + 0*h = -h - 44, v*l + 4*h = 84. What is the least common multiple of 22 and l?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 260479186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241383 is divided by 6974?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49122 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64470781*a**6 + 1242008*a**2 wrt a.\nAnswer: -7736493720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*a**4 - 485*a**3 - a**2 + 2*a + 81097 with respect to a.\nAnswer: -84*a**3 - 1455*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1092 and 127\/336?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x + 1742 = 566 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-14))\/(2\/(-56)). Suppose 0*k = -k + 2*t + 22, -2*t = 2*k - n. What is the remainder when 23 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*u + 87*u + 26*u**2 + 3*u**2 - 2*u**2 + u**2 + (-1 + 0 - 1)*(0*u**2 + u**2 - 3*u**2) + 3*u**2 - 2*u**2 + u**2 + 2*u**2 - 11*u**2 - 8*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442456 is divided by 1586.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 743801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3630 and 20460.\nAnswer: 225060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 8*o + 5. Let c be r(5). Let l be (225\/c)\/((-6)\/8). Suppose k - l = -2. Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5803 is divided by 447?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u + 9486*u**2 - 41768*u**2 + 70*u.\nAnswer: -32282*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -82235*n + 115. Suppose -22 - 14 = -4*q. Let u be h(q). What is u rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 76*k**2 + 6*k + 203. Let m(u) = 3*u**3 + 77*u**2 - 8*u - 206. Let w(i) = 4*g(i) + 3*m(i). What is the derivative of w(f) wrt f?\nAnswer: 3*f**2 - 146*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8\/11 (b) -4 (c) -38\/3 (d) 0.5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/(-2)*1\/11 and (11 + (-231)\/22)*-71.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*v - 36, 4*l - 20 = v + 7. Suppose 20 = l*s - 3*s. Solve -20 + s = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqqwwwxrwlllrj. Give prob of sequence jwqx.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*q**3)*(2*q - 2 + 2)*(1 - 1 - 5)*(q + 5*q - 3*q).\nAnswer: -150*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9365 + 5899951\/630. Let v(d) be the third derivative of z*d**7 + 1\/30*d**5 + 0*d + 2*d**2 + 1\/90*d**6 + 1\/18*d**3 + 0 + 1\/18*d**4. Factor v(r).\nAnswer: (r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.47 (b) 1\/4 (c) 0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8328 + -7638. List the prime factors of n.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -89*n + 3113. Let w be t(35). Let p = 67 + -67.7. Sort w, -3\/2, p, 0.1.\nAnswer: w, -3\/2, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 20112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 7:02 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 267252, 267168, 267084, 267000, 266916?\nAnswer: 266832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 56 = -5*t. Suppose -t*d - 2 = -30. Factor -l**4 + l**2 + 5*l**d - 2*l**4 - 3.\nAnswer: -3*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o. Let k(d) = -902*d. Let j(w) = 574*a(w) - 2*k(w). Let q(x) = -x. Give q(j(z)).\nAnswer: -82*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v**3 + 4*v**2 - 5*v + 2. Let c be j(1). Is -34 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.89736 weeks to milliseconds.\nAnswer: 54974723328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrlrrrrrrrrlrlrrll. What is prob of sequence lrl?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*n - 15. Let j be 6\/16*-2*n. Let k be 3\/j + 30\/4. Calculate the greatest common divisor of 64 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 4*z - 3. Let c be o(-4). Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 1. Suppose -i*z + 5 + 4 = 0. Let x(p) = 7*p - 4. Let f be x(z). Solve -4*t - 5*y - 23 = 2, 0 = 4*t - 3*y + f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 25027.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let c(b) = -565*b + 1. What is w(c(o))?\nAnswer: -319225*o**2 + 1130*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 2*m**2 + 2*m - 279. Let i be t(0). Let o = 823 + i. Is o a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 5*b - 27, 2*b - 12 = -2*p. Suppose -46 = -v + p*w - 13, v = 5*w + 39. Let u = -16172 - -16194. Which is smaller: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-10)*j\/j**3*j*(j**(3\/4)\/j)\/j*j**(-7\/6) assuming j is positive.\nAnswer: j**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -80344743?\nAnswer: -401723715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*g = -193*g - 716*g - 17982 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1137*v + 11374. Let y be o(10). Solve -2*l + 5*j - y = 0, -125*l + 122*l - 3*j = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 1:10 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0 + 0 - 1)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 2. Let u be d(-2). Let o(w) = -w**2 - w + 2. Let g(t) = -t**2 - t + 1. Let v(a) = -5*g(a) + 6*o(a). What are the prime factors of v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/3 + 20*s**3 + 58*s**2 + 5*s + 14. Factor w(x).\nAnswer: 4*(x + 1)*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 621 and 57063.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, 5, 2023\/5, 0.06, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/28 - (-4)\/(-14). Let r(s) = s + 3. Let z be r(0). Suppose -z*g - 22 = 3*d - g, -4*d = -4*g - 4. Which is the nearest to y? (a) -6 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 6*x. Let f be h(-6). Suppose f = 3*u - 32 - 19. Suppose -16*d = -u*d + 4. Solve 3*k + d = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4949458 rounded to 3 decimal places?\nAnswer: 5.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228 - 117 - 2*l - 111.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 0. Suppose -3*k = 0, -3*q + y = -6*q - k. What is the tens digit of 42 + (-3)\/(q + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in nanometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23965210 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -9*p + 20. Factor 2*l**3 + 5 + 0*l - p*l - 9.\nAnswer: 2*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6742, -3, 8 in ascending order.\nAnswer: -6742, -3, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -228 + 77. Let q = 90 - y. Round q to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -687350 to the nearest one thousand.\nAnswer: -687000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:17 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -152211 equal to -152213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnb when three letters picked without replacement from {x: 6, k: 2, v: 4, e: 2, b: 4, n: 2}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60.87722 decades?\nAnswer: 6.087722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/180*-25*15\/35.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -586727, -586751, -586775, -586799?\nAnswer: -586823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v. Let f(i) = -5*i**2. Give f(g(d)).\nAnswer: -3380*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 40968, 2 in ascending order.\nAnswer: 2\/11, 2, 40968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869470893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -356*h - 690256 + 690256 in the form b + t*h and give t.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0 - (0 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42065386?\nAnswer: 2, 11, 1912063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 + 5)) + -1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 17. Let d be o(7). Solve 3*y - d*l + 7*l = 1, 2*y = 5*l - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 + 2*v + 2. Let o be f(-1). Find the third derivative of 33*l**3 + o*l**4 + 9*l**2 - 23*l**2 - 9*l**2 - 4*l**4 wrt l.\nAnswer: 48*l + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7221, 7230, 7243, 7260, 7281, 7306?\n\"Answer: 2*i**2 + 3*i + 7216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/112 - 10\/40. Which is the closest to 0? (a) 4\/7 (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) -0.2 (b) -3 (c) -1.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -1055, -1595, -2207, -2915, -3743, -4715?\nAnswer: -5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 151, 8 in ascending order.\nAnswer: -16, 1, 8, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 9*f**2 + 8*f**2 + 7.\nAnswer: 5*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 10*j + 10. Let g(n) = 2*n + 2. Let w(r) = 10*g(r) - 2*s(r). Let k(p) = 9*p. What is k(w(l))?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-60)\/(-9). Let k(g) = -g**2 - 6*g + 7. Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnjjnn. What is prob of picking 2 j and 2 n?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 200277100 rounded to the nearest 100000?\nAnswer: 200300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35 + 9\/60 - 63\/(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-8)\/(-48)*(-16)\/(-72)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**7)\/o**(-1))\/(o*o**(-1)*o)**(1\/6) assuming o is positive.\nAnswer: o**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Let y = -0.265 - -0.565. Which is the closest to 1\/2? (a) y (b) -1 (c) -2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 514, 4 in descending order.\nAnswer: 514, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**7\/840 + l**6\/40 - l**5\/120 - l**4\/12 - 7*l**3\/6 - 11*l. Let k(n) be the second derivative of i(n). Calculate k(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469.984679 * -0.3\nAnswer: -140.9954037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.205 - -0.14. Let g = 2.065 + m. What is the nearest to 1 in -2\/11, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919070887 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*-10*-1. Let j(d) = i*d**2 + 3*d**2 - 8 + 10*d - d**3 - 2*d**2. What is the units digit of j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -208, -254, -286, -304, -308, -298?\n\"Answer: 7*w**2 - 67*w - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 - 6570*k - 6557*k + 13127*k - 4*k**2.\nAnswer: -4*k**2 + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 22*j**2 - 23*j + 5. Let x be d(-23). Suppose -112195 = -o + 2*o - r, 2*o + 224425 = -x*r. What is o rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 231*w - 2079. Determine l(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/256 + (-7)\/(-4). What is the smallest value in g, -0.5, 3\/44?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 15) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4966540 divided by -42815.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-135)\/5)\/(3\/2). Let v be 1\/1 - (-5 + (b - 10)). What is the greatest common factor of 68 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142768134857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81\/2 in 3\/4, 1363, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/6)\/(7 - 230\/40). Let g = 187\/6 + -31. Which is the third smallest value? (a) n (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3\/8, -1, -1.29 in decreasing order.\nAnswer: 6, -3\/8, -1, -1.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 12 - 7 - 22*j**5 + (2*j**2 + 3*j**2 - 6*j**2)*(-j**3 + 3*j**2 - 3*j**2) + 4*j**3 - j**5 - 4*j**3.\nAnswer: -22*j**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and (-67)\/3*47\/1081?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 3*v - 6, -707037*i + 707034*i - 5*v = -9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:14 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v**5 - 39*v**4 - 15*v**3 + 75*v**2 + 24*v - 36 = 0. Calculate v.\nAnswer: -3, -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 678 - 1080. Let s = -337 - l. Calculate the remainder when s is divided by 36 - 1\/(-1)*-2.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3781.315ml to litres.\nAnswer: 3.781315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020412 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076904779?\nAnswer: 3, 139, 4980587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 35394*w**3 + 148571862*w**2 - 71851967386*w.\nAnswer: 2*w*(w - 437)*(w + 9067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 5) in base 14?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -124797, -0.04, -2 in decreasing order.\nAnswer: -0.04, -2, -124797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v + 56 = 0. Let g = 15 - v. Find the first derivative of -g - 2 + n**2 + 7*n**2 - 4*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 76\/(-12))\/(2\/24). Let y(m) be the first derivative of 0*m**2 + 0*m + u + 0*m**4 - 2\/15*m**5 + 2\/9*m**3. Factor y(q).\nAnswer: -2*q**2*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 778\/75?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/4)\/(b\/b**(-4))*b**(2\/15)*b*(b*((b**(4\/7)*b)\/b)\/b)\/b*(((b\/(b**(-6)*b))\/b)\/((b*b**(-3\/2))\/b))**(2\/19) assuming b is positive.\nAnswer: b**(-26821\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggygggggggggggggg. What is prob of picking 2 g?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3)*d)\/d**9)**(19\/2)*(d**0)**(-47)*d\/d**1*d**7 assuming d is positive.\nAnswer: d**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 372 + 2*s - 2*s**4 + 370 + 0*s - 5*s**3 to the form g + v*s + l*s**4 + p*s**2 + k*s**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*o + 145*o**2 + 8 - 111*o**2 + 232*o**2 + 294*o**3.\nAnswer: 2*(3*o + 1)*(7*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4*q**2 - 76*c*q**2 - 504*q**2 wrt c?\nAnswer: -4*c**3*q**2 - 76*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 9*b**2 + 3. Let z be x(9). List the prime factors of (1 - 0)*57\/z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 3) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhnhn. What is prob of sequence hn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 4. Let p be n(3). Suppose -2 - 21 = -23*u. Let w(x) = 4*x + 24. Let g be w(-6). Sort -1, u, g, p in descending order.\nAnswer: p, u, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-50))\/((-60)\/(-40))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237721383*j*l**3 - 2*j*l*w - l**3*w + 17629545*l**2*w - 8*l*w wrt l?\nAnswer: -1426328298*j - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244*i - 25448 + 25448)*(0 + 3 - 2).\nAnswer: 244*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 16*n**2 - 50*n - 17. Determine x(-11).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.3. Let z(k) be the second derivative of k**3\/6 - k**2 + 3*k. Let x be z(-2). What is the biggest value in -5, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 + 3*p**2 - 7*p + 7. Calculate x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4625 + -4529. Calculate the smallest common multiple of r and 102.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 1. Let b be l(-1). Suppose 0 = b*y + 14 + 18. What is the tens digit of (y - 5)*2\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476 - 468 - (1 - (0 - 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -1.7. Let q = 121\/381 - -2\/127. Let o be ((-3)\/(-10))\/(3\/4). Which is the nearest to q? (a) n (b) 1\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -0.5. Let v = 4.09 + -0.09. What is the second biggest value in v, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -157*m**2 - 4. Let f(x) = -2*x**2 + 8157. Give f(w(t)).\nAnswer: -49298*t**4 - 2512*t**2 + 8125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-312)\/(-22)*(508431\/(-186))\/497?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 11. Let u be 2\/10 - (5 + (-136)\/20). Let w(f) = -u*f + f + 0*f + 4 + 1. Determine 5*w(s) - 2*x(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.5 - 545.5. Let y = k + 523.999747. What is y rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(40))**2 + sqrt(16)\/(sqrt(32)\/sqrt(4)).\nAnswer: 1\/2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 67*x**3 + 66*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*a - 5, 0 = -2*z - 2*a + 16. What is the highest common factor of 247 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126 - (122 + -252)) + 121.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44 take away 0.01?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14820 - -28490. What is u rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 48*p - 433. Calculate the least common multiple of 132\/9*6\/4 and r(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-1)\/(-2)) + (-2 - -1). Which is smaller: 0.032 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8359 and -707.\nAnswer: -5909813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350, -346, -342, -338, -334?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 615723, 615812, 615901, 615990, 616079?\n\"Answer: 89*n + 615634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(448) + 4.\nAnswer: 9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/169938 and -169\/755280?\nAnswer: 6797520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33277 + -19801. List the prime factors of p.\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(u - 3*u + 3*u) + 2 - 2 + 2*u + u - u + u - 261*u - 32059 + 32059.\nAnswer: -256*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193457203?\nAnswer: 19, 62813537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/12)\/(20\/(-45))*20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/147 (b) 3 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111 + -101010101011?\nAnswer: -101000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1541 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-7*360\/490).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q + 71 - q + 65 - 136.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + -a467?\nAnswer: -a44a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -405?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -33*k + 429. Let c be q(13). Let g = 345\/26 - 27\/2. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a8 - 5627?\nAnswer: -514c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2052 - -6161\/3. Which is the second biggest value? (a) z (b) 3 (c) -337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooicoooooi. Give prob of picking 2 i, 1 o, and 1 c.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1235478043 and 0.2.\nAnswer: 1235478043.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.002929 nanometers in centimeters?\nAnswer: 0.0000004002929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)*(x\/x**(-1\/21))\/x*(x\/(x*x*x**(8\/7)*x*x*x))\/(x**6*x) assuming x is positive.\nAnswer: x**(-248\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-3 + 2 + 2 - (-33 + 29)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 33*d - 728 = 18*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/15 - -2)*1. Let f be -38 + (2*-1)\/(-1). Let o be f\/273 - (-4)\/14. Which is the biggest value? (a) r (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 8\/5 - (-36)\/(-10). Let f(k) = k**2 + k. Determine f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d - 4. Let k be c(4). Let m = -10 - -7. Let q be (64\/m)\/(3\/(-9)). Calculate the highest common factor of k and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 6. Solve -4*w = -i, -w - m*w - 9 = -3*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -40.3. Let y = -2 + c. What is the third smallest value in -2, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/32953770 and -131\/4393836.\nAnswer: 65907540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 435*z - 11022 = 0. Calculate z.\nAnswer: -22, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 13 (b) 0 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -17) + -19 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 906*x**2 + 25*x + 7. Let f(o) = o**3 - 905*o**2 + 20*o + 6. Give -5*f(h) + 4*n(h).\nAnswer: -h**3 + 901*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Let s be (1 + 1)*(54\/11 + -5). Sort s, w, 2 in descending order.\nAnswer: w, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -869192 divided by 108649\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.4 - 5.64. Let i = z + -39. Let v = i + -0.9. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1112.428 to the nearest 10.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86507 or -86509?\nAnswer: -86509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9780 or -9786?\nAnswer: -9786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:15 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 34. Let w be 0\/(6 + (0 - 3)). Suppose 5*i - 2*g - 16 = 0, -3*i - 3*g - 3 + 0 = w. Which is the closest to 1\/9? (a) 4 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 113862 + 8*k**2 - 113862.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2))*-4*2.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 - 40 - 10*s**2)*(-11*s + s - 5*s) + 14*s**3 - 4*s**3 + 0*s**3.\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 60. Let g be ((-12240)\/2856)\/((-9)\/42 - 0). What is the highest common divisor of g and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101001100 - 10?\nAnswer: 10101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, -1, 2, -778, -6\/5 in descending order.\nAnswer: 2, 0.23, -1, -6\/5, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)*12\/2. Let t be 3\/9 + 13\/y. Let c = 86 - 84. Sort c, t, -4.\nAnswer: -4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 112*b - 116.\nAnswer: 4*(b - 29)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51081 + 561907\/11. Let q be 1 - ((1 - 1) + -2). Let -8\/11 + 2\/11*w**q - 10\/11*w**2 + o*w = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82287792?\nAnswer: 2, 3, 67, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + f**2 - f**2)*(-2*f**2 + 4*f - 4*f) - 2*f**5 + 2*f**5 - f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 540480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77\/2 - -39. Let o = -0.06 - 2.94. Do w and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (161*p**3 - 96*p**3 - 94*p**3)*(-79 + 79 + 3*p) as q*p**3 + x*p + s*p**2 + o*p**4 + n and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210 - -12?\nAnswer: -12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 682\/5 - 136. What is the biggest value in -2, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/15 + 5*o**3\/6 + 4*o**2. Differentiate g(u) wrt u.\nAnswer: -56*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/5*15\/(-3). What are the prime factors of 64\/g*(-5 + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*q = 0. Suppose q = 6*s - 3*s - 4*m - 28, 5*s - 64 = -2*m. Suppose 2*f = 4*g - 38, s = 3*f + f. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l - 37*l + 10 - 12 = -2*f - 6, -f - 39 = -16*l for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(19712\/21)*-8\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 7\/2, -1, -2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.5. Let s = 38 + -24. Let r be 8\/s + -1 + 1. Put r, -0.4, y in decreasing order.\nAnswer: r, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tss when three letters picked without replacement from lwtgfss.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 3*v - 4*v, v + 5*d = -4. Let b be ((-20)\/25)\/(v\/10). Find the first derivative of -2*f**2 - 6*f**b - f**2 + 7*f**2 + 1 wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123a30 (base 12) in base 5?\nAnswer: -34000324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 22 (b) 0.3 (c) 805 (d) 5 (e) 2\/5 (f) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 361464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**4\/12 - 2*d**3\/3 + 4*d**2. Let q(o) = -2. Let f(y) = -3. Let r(j) = 3*f(j) - 5*q(j). What is -2*r(m) - v(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/5? (a) 0 (b) -2\/7 (c) -0.1 (d) -51.1 (e) -5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -847, -1692, -2537, -3382, -4227, -5072?\nAnswer: -5917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99249830, -99249818, -99249798, -99249764, -99249710?\nAnswer: -99249630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -332857, -1331424, -2995713, -5325730, -8321481, -11982972, -16310209, -21303198?\n\"Answer: -y**3 - 332855*y**2 + 5*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -1, 1, 3033, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56112224*u**4 + 17*u + 718784 wrt u?\nAnswer: 673346688*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41856, 42327, 42786, 43227, 43644, 44031, 44382?\n\"Answer: -y**3 + 478*y + 41379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 22331*w - 5*w**2 + 22331*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2369688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 962072.\nAnswer: 8658648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 11*n - 22*n = -15*n + 8, -65*f = -n - 64 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7. Determine o(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/(-6*138\/(-4392)) - -8?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 2*p**2 + 3*p**2)*(0 + 0 - 2*p) + 6*p**3 - 3*p**3 - 8*p**3 - p**3 - p**3 + 0*p**3 + (-2*p**2 - 2*p**2 + 2*p**2)*(-p + 0*p + 3*p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/3 - 0. Let o = -60137 - -60137.4. Which is the nearest to d? (a) o (b) 0.9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1916.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 33. Suppose -5 = -2*w - 4*o + 29, 0 = 2*w - 5*o - r. Calculate the remainder when (-18)\/8*(-112)\/6 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 3*s + 3*k, 143 = s + 3*k + 45. Let p be -2 - (-16)\/s*11. Suppose 5 = -5*q + 4*w, 4*q + 2*w = q - 3. Is q at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011313583 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-1)*((-154)\/42)\/((-429)\/143)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a02 (base 12) to base 7.\nAnswer: -4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2*(-2 + 0). Solve -2*c - f*y = -3, c - 2*y = 2*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359694573?\nAnswer: 3, 7, 1933, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17651, -32364, -47077?\n\"Answer: -14713*l - 2938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = k + 89, 5*q - 4*k + 22 - 108 = 0. Let b(h) = -2*h**2 + 42*h - 78. Let m be b(q). Solve -6*w + m = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1928*g**2 + 4595*g**2 - 2544*g**2.\nAnswer: 123*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*4*5\/(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3*q*z + 424*k**2*q**2 - 291*k**2*q*z + 3*k*q**2*z + 3*k*q*z + 150*k*q + 81*q**2*z wrt k?\nAnswer: -30*k*q*z + 848*q**2 - 582*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 68\/7, -0.13, 2\/5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44699*v - 44684*v = -l + 32, -4*v = -18*v - l + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 40 - 39 = 0. Let k(d) = -d - 1. Let f(t) = t + 8. Give u*f(b) + 6*k(b).\nAnswer: -5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p\/(p*p**(2\/3))))\/p**(-6)*(p\/p**(-3))\/(p*p**(-13)) assuming p is positive.\nAnswer: p**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.862*-0.1\nAnswer: 0.2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/5 + 2977*z + 14884\/5 = 0. Calculate z.\nAnswer: -14884, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + 2. Let t(a) = -4*a - 17. Let d be t(-5). Solve -2*o + 16 = -l*n - 0*o, 4*n = d*o - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/324 and -53\/9477.\nAnswer: 37908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/8 - 2*d**3\/3 + 4*d**2. Let m(f) be the third derivative of -f**4\/12 + f**3\/3 + 4*f**2. Calculate -3*g(p) - 5*m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1236 + 1651. Calculate the greatest common divisor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -20.91. Let l = -0.50545 + -2.49455. What is the closest to -1\/4 in u, 0, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 - 155. Let k be (26\/(-65))\/((-29)\/d + -2). Solve -3*j = 2*i - k, 3*j - i + 2 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 39169, -17 in descending order.\nAnswer: 39169, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.230567 rounded to 2 dps?\nAnswer: -120.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110010110 (base 2) in base 5?\nAnswer: -143123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 16*k**2 + 7*k. Let c = -350 + 382. Let h(n) = n**2 + 11*n + 10*n - c*n + 11*n. What is i(h(u))?\nAnswer: 16*u**4 + 7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 0)*6 + 4.\nAnswer: 4 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/10)\/(10620\/5322 + -2). Let a = 3079\/5 + q. What is the common denominator of a and -57\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 4*f + 297. Suppose f = k - 258. Suppose 3*j - k = 435. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33614 - -33617. Let w = 3.7 + -3.87. What is the biggest value in w, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/97 and -44\/16572619.\nAnswer: 1607544043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -32 + 53 + -44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 = u, -4*u - 2*s + 14 = -0*s. Suppose -156 = 6*n - 9*n - 2*m, -4*n = -u*m - 185. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 15*k - 2. Calculate y(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -9. Let i = m - -6. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)\/z**(-9))**(10\/11))**(3\/10) assuming z is positive.\nAnswer: z**(57\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -567827472\nAnswer: -567827469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j - 3. What is h(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2820 divided by 94.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*a**4 + 14 - 2*a**3 - 12 + a**2 - 3*a**3 + 7*a**3 in the form m*a**2 + o + v*a**4 + q*a + i*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o + 3. What is the remainder when b(-6) is divided by ((-23)\/115)\/(5\/(-425))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242.84365 days to weeks.\nAnswer: 34.69195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/12 and 97\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79371139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*(sqrt(704) + 0 + sqrt(704))*-6 - ((2*-1*sqrt(704) - sqrt(704)) + 2*sqrt(704) + -2)*-6)**2.\nAnswer: -44928*sqrt(11) + 38548368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - x**5)*(-19 + 12 + 10).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 - -195. What is the highest common divisor of 285 and x?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14. Suppose -21 = -u*n - 3*n. Let j(m) = 6*m + 17. Is j(n) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151\/8 or 20?\nAnswer: 151\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + q + 1, -4*z - 3*q - 6 = -22. Suppose 19 = 5*t - z. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416366 divided by 227?\nAnswer: 3416366\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/15))\/(z*z**22*z)*z**(-18)*z**(-15)\/z*z assuming z is positive.\nAnswer: z**(-842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.065, 14.5, -2 in decreasing order.\nAnswer: 14.5, -0.065, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 0, -6*u + 7*u + 467 = f. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51178.203 microseconds to hours.\nAnswer: 0.0000142161675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i. Let u(x) = -895*x**2. Determine z(u(m)).\nAnswer: 5370*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14807 - 936. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 10*b**2 - 10*b**2 + 38*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20929.84 decades to months.\nAnswer: 2511580.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/(((-60)\/(-360))\/(26\/(-24)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10 and 180\/115*(-3)\/8.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 118502.\nAnswer: 17775300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 56136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627712 (base 8) in base 9?\nAnswer: 347426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*f + 20 = 2*q, -3*f + 2 = -q. Let s = -6 - -13. Let p = s - q. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:22 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-8)\/2)\/2). Suppose 3*a - 4 + 13 = 0, 4*b + 3*a - 931 = i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*c - 22, 6*b - 15 = 5*c + b. Let o be (3 - (-33)\/(-15))*c. Is 3 a factor of ((-14)\/4 - o)*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - -0.01. Let t = p + -0.73. What is t rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*14\/(-42) - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11\/(-33))\/(2\/(-54)). Let l(i) = -p - i + 0*i + 10. Calculate l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence att when three letters picked without replacement from {t: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Suppose 2*y + 6 = l*x, 3*x - 5*y = x - 6. Let j = x - 2. Let m(q) = -q**2 + 6*q + 1. Give m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**5 - n**4 + n**2 + n + 1. Let g(y) = 33*y**5 - 6*y**4 + 6*y**2 + 4*y + 26. Let u(p) = -6*b(p) + g(p). Find the second derivative of u(d) wrt d.\nAnswer: 780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 23. Let f be 3 + (22 - (2 + 1)) + -3. Find the third derivative of -y*r**2 - 10*r**2 + 2*r**4 + f*r**2 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 + 10*t**2 + 18*t - 33. Let h(q) = 4*q**3 + 4*q**2 + 9*q - 17. Let i(r) = 5*h(r) - 3*o(r). Determine i(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5\/3 + 137*x**4\/3 - 751*x**3\/3 - 457*x**2\/3 + 746*x\/3 + 320\/3 = 0 for x.\nAnswer: -32, -1, -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20937505 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 6. Suppose 2*x = 4*g + 5*x - 127, -3*g - 5*x = -87. Calculate the remainder when g is divided by (-89)\/(-5) - m\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211 + 2221?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 - -87. Let t = 75 + -54. Solve -t = -3*u - 3*z - v*z, 0 = 2*z - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26649248 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2840)\/2280*6)\/((-30)\/285)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9 = -n + 2*b, 2*b + 1 = n. Let m be (2 - (-2)\/n)\/(-18). Suppose i = -2*i - 4*i. Is m less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -14*g + 16. Find the common denominator of -4*((-6)\/(-48) + (-1)\/g) and -79\/57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(0 + 6\/165)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/21645 and 2\/44955?\nAnswer: 584415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-9))\/(14\/126). Solve -a*w + i = 16, -13 = w + 3*i + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*q**2 + (0*q + 2*q - 4*q)*(-q + 0 + 0))*(2 - 3 - 2)*(125 + 87 + q - 158).\nAnswer: -18*q**3 - 972*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*n**4 + 5*n**2 - 20*n - 6 wrt n.\nAnswer: -996*n**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-18))\/(1\/(-296)). Suppose 0 = -2*t + 7*t - 15. Suppose t*c = x - 19. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g**2 + 8*g + 12. Let c be f(8). Calculate the common denominator of c\/(-80) + (-3)\/5 and -29\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31256.7 and -198140.328.\nAnswer: -229397.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 98?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*c + c = 27, z = 2*c + 12. Solve -10 = -2*v, -v + 10 = -l + z*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*i + 7 = 0, 4*n - 2*i - 9 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h. Let a(t) = 175*t + 2. Determine y(a(j)).\nAnswer: -525*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3991 + 3871 = 0. Solve 36*f = t*f - 48 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -810.54078 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5055 in -5, 1\/4, -2.8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31707 + -316059\/10. Let p = m - 102. What is the common denominator of p and -3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3405 + -3397. Solve 3*j = -0*j - 3*w - 27, 4*w + m = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924588196 to the nearest integer?\nAnswer: 30407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 347 and -69249905483?\nAnswer: 69249905830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 179 = -5*h, -3*d + 2*d + 2 = 0. Let b be 35\/(-21)*(10 + 2). Let l = h + b. Solve -2*g = -7*g - l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (12 - (6 + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most as big as 345.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {x: 5, k: 3, y: 3, n: 2, j: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/9*18\/4. Suppose -3*t + 435 = g*t. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + g**2 - 12 - 7 + 22.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -1\/8*p**4 - 1\/6*p**3 + 26*p + 0 + 0*p**5 + 0*p**2 + 1\/60*p**6. Factor q(g).\nAnswer: g*(g - 2)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/75*3\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:46 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 62 + 50. Let u be 2\/(-5) + 7\/140*h. Calculate the highest common factor of 8 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60432777*t - 97849653.\nAnswer: 60432777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1231\nAnswer: -5\/1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -5, -4, 8, -63, -19 in decreasing order.\nAnswer: 10, 8, -3, -4, -5, -19, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 57*w + 225. What is p(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1391 and 364.\nAnswer: 38948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134349 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.78 + 1.23. Let w = x - 0.05. Let y be 2\/(-3)*(0 + -1). What is the smallest value in w, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f + 4*f**2 + 5*f**2 - 12*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 48. Suppose 3*j - t*j = -2*m - 18, -4*m - 30 = -5*j. Solve 0 = 2*d + j*d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304312641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -707 + -5?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 7:19 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-852)\/13632*1\/(2\/4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*y + 1980, -3*y = 2*c + 531 + 660. Let q = y - -405. Solve -3*g - 18 = -q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.78 and -0.08.\nAnswer: -0.4624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 213210 (base 4) in base 14?\nAnswer: ccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - -8 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1460\/273 + -4\/273. Let t be (-11 - -9 - 26\/(-12))*1. What is the biggest value in -0.5, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16443 and 733033?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 27 = 157. Let y = -587\/9 + q. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5830 - -16450. Suppose -9*m + b = 9*m. List the prime factors of m.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hpphpppphhphpp?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121331730 divided by -23010\nAnswer: -5273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*p + 15. Let r(b) = b**3 - 4*b**2 - 4*b - 3. Let g be r(p). Let v(t) be the second derivative of -t**3\/2 + t**2 + t. What is v(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4*c + 36, v + 0*c = -5*c + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 325*g**3 - 163 - 60 - 219 with respect to g.\nAnswer: 975*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 + 36*w**2 - 36*w + 36. Let x(y) = -y**2 + y - 1. Determine -36*x(s) - z(s).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 9*r - 5. Calculate the remainder when 3 - -4 - (-45 + (0 - 3)) is divided by h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 949846 - 949846 + 782*w**2)*((-2*w - 4 + 4)*(-2 - 3 + 3) - 2*w + 2*w + w - 1 + 2*w + 1 - 2*w + 10*w + 2*w).\nAnswer: 13294*w**3 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 1914*k**3 + 307191*k**2 - 608652*k + 303372.\nAnswer: 3*(k - 318)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/136*(-15)\/(-6))\/(5\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 75, -5 in descending order.\nAnswer: 75, 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 702 = 3*n - 1072, 5*p + 613 = n. Which is bigger: n or 585?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4433969)\/(-481) + 18\/(-78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*k + 84*k - 9471 + 1047 = 0 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11513 + 250*g - 11513)*(-8*g - 21 + 21).\nAnswer: -2000*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 3, 4, 6, 68, 18 in descending order.\nAnswer: 68, 18, 6, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1036\/(-518))\/(92\/14)\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/5)\/((-1)\/5). Let n be y\/7 + (0 - -4). Let l(d) be the third derivative of -d**5\/60 - d**3\/3 + 4*d**2. Let t(s) = -s**2 + s - 1. Give n*t(o) - l(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 + 8782*y - 26. Let l(v) = v**2 + 1754*v - 5. What is 11*l(i) - 2*w(i)?\nAnswer: -i**2 + 1730*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 23040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 563 = -74. Suppose -3*k - 10 = -u + 71, 4*u = 4*k + 340. Suppose 2 = t, 0 = -5*f + 2*t + u + g. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 615*f**2 - 6*f - 673. Is h(28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:36 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 97*v - 1279 = 96*v + 2023 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 5*m - 7. Let j be z(-6). List the prime factors of 9*14\/(-6)*j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(234)\/sqrt(6))\/sqrt(3))**2 - -4*(-2 + sqrt(1053))**2.\nAnswer: -144*sqrt(13) + 4345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -458*m**3 + 669*m**3 + 9085*m**3 + 7501968*m**2 - 7505137*m**2 wrt m.\nAnswer: 55776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 51 - 81 + 19*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147516.5 days to microseconds.\nAnswer: 12745425600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2427046\/781 - -34176\/11. Calculate the common denominator of l and -37\/8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*r - 58*r = -712 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 9}. What is prob of picking 2 a?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.8 and 0.144 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 65*j**3 - 1239*j**2 - 5423*j + 6728.\nAnswer: -(j - 1)*(j + 8)*(j + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/30 + d**5\/15 - 6*d**2. Factor w(t).\nAnswer: -4*t**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + (-684)\/(-60))\/(1\/185). What is the derivative of -34*q**2 + 107*q**2 - 53*q**2 - 62 - o*q**2 wrt q?\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 73. Suppose -41*c = -42*c + q. Suppose c = m - 25. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11050902*n + 3120 = -11050876*n for n.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3869383, 7738762, 11608141, 15477520?\n\"Answer: 3869379*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1683, 6189, 13595, 23901, 37107?\nAnswer: 53213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32.5 - 32. Let w = -3 - -8. What is the third smallest value in h, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1579.285 + -593.\nAnswer: -2172.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/25580773 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19529 = -37*y + 3423418. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8555\/22 - -387. Find the common denominator of z and (1 - 1) + 31\/(-10).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 17 = -5*m - 4, 3*c = 4*m + 13. Sort 5, 3, m in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2458507 at least as big as -2458527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*d - 18, -z + 447*d - 449*d = 8. Which is the smallest value? (a) -1\/4 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-20)\/12)\/(2\/108). Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-110) + 13912\/(-65120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -3 + 0 + 0. Let s be 1\/1 + (-12)\/h. Let v(a) = 3 - s*a - 8 + a**2 + 0. Give v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(((d\/d**(-2\/5)*d)\/d)\/d)*d*d)**(-38)\/(d*d**(2\/19)*d\/(d*d**(-1\/3)\/d*d*d)) assuming d is positive.\nAnswer: d**(-28283\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 4*p**2 - p - 7. Let z be n(5). Suppose -4*o = -z + 5. Suppose o*h + 2*u - 46 = -2*h, 0 = 3*h - 5*u - 54. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11137*l**4 + 69563*l**2 wrt l.\nAnswer: 267288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83422, -82753, -81638, -80077, -78070?\nAnswer: -75617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -4, -5, 29254.\nAnswer: -5, -4, -2, 6, 29254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-22))\/((-3563)\/(-9162))*(-4)\/(-18).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u - 21. Suppose -4*m = -m - u. Find the third derivative of 16*r**2 + r**4 - 2*r**m + 0*r**4 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271103091 a multiple of 6364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 350366709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1132652 + 2767348 = -z. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-38)\/(b\/(b*(b\/((b\/b**(1\/2))\/b)*b)\/b))**(-34) assuming b is positive.\nAnswer: b**(-179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in -2\/135, 0.5, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123\/7 in 57, 1.1, 2, 1\/12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 133 - 53 = 0. Let m(w) = 10*w - 304. Suppose 0 = -25*c + 21*c + 124. Let j be m(c). Solve g = j*g + z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 666 = -84*d - 9*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177630436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14698467954 and 1931.\nAnswer: -14698466023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.045.\nAnswer: 4.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvvzvaxz. What is prob of picking 1 v, 1 a, and 2 x?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - 5*o + 3. Let r be a(1). Let v be 1 - (0 + (-27)\/(-3)). Let p = v - -3. Put 1, r, p in descending order.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 24, -4*v = 5*x - 2*v + 22. Which is the third smallest value? (a) -0.2 (b) -7\/36 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7700211 and 6.\nAnswer: 15400422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -28. Suppose 4*y - 56 = -3*h, 0*y - r = -y - h. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/3))\/((f**(-12)\/f)\/f))\/((f\/(f*f\/(f**(-2\/31)\/f))*f)\/(f*f**(8\/7))) assuming f is positive.\nAnswer: f**(12287\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 25*n**2 - 144*n + 24. Let g be m(15). Let d be (14\/4)\/(g\/39672). What is the greatest common divisor of d and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257 - 257. Solve f*c + c - 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d - 4)*(-5 + 3 + 0)*(31*d - 406*d - 3*d).\nAnswer: 756*d**2 - 3024*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596788476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 115*i**3 + 13*i**2 - 6*i**5 - 115*i**3 wrt i?\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - w**2 - 58*w**3 - w**2.\nAnswer: -58*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 3, v: 1, s: 2, k: 9, o: 2}. What is prob of sequence ev?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*k = 220, 2*k = 2*n - 5*n + 163. Let c = -54 + n. Solve 4*h + 1 = -3*v, -c*v + 17 = -3*h - 2*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56709 + 57060 = 117*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054949 rounded to five dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1802399259, -1802399260, -1802399261, -1802399262, -1802399263, -1802399264?\n\"Answer: -w - 1802399258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190662747 to the nearest integer?\nAnswer: 13808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 16. Let m(r) = r - x*r + 0*r + 4*r. Let y(t) = -t**2. Calculate y(m(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-31))**(2\/83)*(b**(9\/8)\/b*b)**41 assuming b is positive.\nAnswer: b**(30147\/664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - t**2 - 2)*(-4 + 5 - 3)*(15 - 86 - 13) to l + h*t + c*t**2 and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77719944 divided by 184?\nAnswer: 422391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-4)\/4*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 2 o when four letters picked without replacement from wooywwwwvwow.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -30?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2720 divided by 340\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + 412*z - 1618. Give i(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(7)*3) + sqrt(576)*1)\/(sqrt(6912)*-2 - sqrt(48) - (sqrt(48) + sqrt(48) + sqrt(1728)*2)) + 0.\nAnswer: -25*sqrt(3)\/468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -520+-75609681\nAnswer: -75610201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:38 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 887 - 1132 = 40*w - 731 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.00747 + -20.00748. Let x = -10 - c. What is x rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 16*m**2 + 17*m - 25. Determine q(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**5\/60 - 80*f**2. Let s(b) be the third derivative of b**5\/6 - b**3\/6 - b**2. Give a(s(k)).\nAnswer: 100*k**4 - 20*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -7. Let k = 97.2 + -97.2. What is the closest to 2\/7 in q, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6944 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124653360 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkvkkkkkvkvv. Give prob of picking 1 k and 2 v.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32494947, -32494945, -32494943?\n\"Answer: 2*v - 32494949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.35 in 34, -43, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5 + 2*h**2 + 3*h**2 - 3*h**2. Let j(v) = -3*v**2 - 8. Let t(m) = 8*c(m) + 5*j(m). Let s(x) = -x - 2*x + 2*x + 2*x. Calculate t(s(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/(-11) - 6\/33. What is the nearest to 1 in 3, -5, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1617))\/sqrt(3)*6 + (5*(2*sqrt(88) + sqrt(88)))\/(sqrt(8) + -2*sqrt(8)*-2).\nAnswer: -81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 0. Let i(w) = 17*w**3 + 17*w**3 + 5*w - 2*w**2 - 11*w**3 - m*w. Is i(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 132202223?\nAnswer: 132202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/3)\/((-20)\/15)*13556.\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 1. Let d be (2\/2)\/(i\/32). Let s = -0.2 + 0.1. Which is the third smallest value? (a) s (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by -29.\nAnswer: 312\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*m - 128*m - 10006 = 8981 + 25499 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4241 = -3*v - 2*l + 246, -5*v - 2*l + 7481 = 0. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:51 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12585*-0.3.\nAnswer: 3775.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4676776)\/22568 + 207 + (-3)\/(-14)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25400)\/11430)\/((-14)\/18).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-478)\/(-44) - 4\/(-11)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 5*s + 19. Let j be k(0). Suppose -j + 5 = -y. Calculate the highest common factor of y and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 19*v**2 - 2*v - 12. Suppose -49*g = -50*g + 13. What is the tens digit of p(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (11370\/24 - 6). Suppose 12*t - c = 9*t. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u + 29*u + 20*u + 35*u.\nAnswer: 47*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beuuwuw. Give prob of picking 1 e and 2 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33528 to 2 dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9845 + 0.0155. Which is the biggest value? (a) g (b) 5 (c) -19 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*q = 0, q - 46 = 5*h - 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.3 (c) -2 (d) -1\/4 (e) -1812\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -3406624535?\nAnswer: 3406624535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - l = 1, 2*p + l + 22 = 21 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-2*m**2 + 4*m**2 - 3*m**2) + 2*m**2 + 4*m**2 - m**2 + (-2 + 2 + 2*m)*(-2 - m + 2) + 5*m**2 + 8*m**2 - 4*m**2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/2)\/((-1)\/(-6)). Let m be (4\/v)\/(4\/(-18)). Let a(y) = 4*y - 2*y**2 - 2 + 0*y + 2*y**m - 2*y**2. Give a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -47. Let p = i + -91. Let g = -6 - 0. Which is the second biggest value? (a) -0.1 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (5 - (29 + -9)) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(4*sqrt(5500)*6)\/((sqrt(320)*2 - sqrt(320) - sqrt(320)) + sqrt(15)\/sqrt(75) + sqrt(5)).\nAnswer: -1000*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*k - 34039, 326*k - 331*k = -40. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92894888 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 2*m**2 + 2*m. Let x be h(-3). Suppose 3*v - v - 51 = -5*l, -3*v + 3*l + x = 0. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*a - 6. What is the second smallest value in 87, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-168) - (-36)\/2688*16?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - (52 + -15)) + (-1 - 18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. What is the highest common divisor of 44 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u**3 - 5*u**2 - 3784*u + 3790. Give b(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = 2*i. Suppose i*m - 15 = 0, -m - 190 = -2*h - 3*h. Suppose 5*d = -5*l + 95, h = 3*d - 3*l - 30. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2353376 + 25?\nAnswer: 2353423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**2 + 3*l - 3. Let p(w) = -7*w**2 - 4*w + 3. Give 4*p(f) + 5*t(f).\nAnswer: 2*f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 4*z + 5. What is u(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 0.149.\nAnswer: 2.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.4, -0.06, 0, -3, -2785?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036093675 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06380397 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let u(r) be the third derivative of -13*r**5\/20 + 45*r**2. What is t(u(o))?\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 109 from -821811242442.\nAnswer: -821811242551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/3 - (-172 + 167))\/(34\/36).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-24)*891\/6. Let x = k - 198. Solve x = 5*i - 2 - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7569723 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (2 + -169 - (718 - 712)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7835 - 7836. Put 1, -2\/43, r, 4, -2.9 in decreasing order.\nAnswer: 4, 1, -2\/43, r, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 5, 2*c - 42 = -4*g. Let p be (-1)\/(3\/(3*9)). Let w = 12 - p. What is the remainder when w is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10148, 10417, 10690, 10967?\n\"Answer: 2*n**2 + 263*n + 9883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(75) + sqrt(3))**2 - sqrt(3))*-1 - (sqrt(972))**2.\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 21*f + 36. What is j(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 4*k - 5*u, 5*k - 4*u - 370 + 38 = 0. What is the smallest common multiple of k and 22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662, -1369, -2094, -2843, -3622, -4437, -5294?\nAnswer: -6199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4*(-9)\/(-90).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.948, 7, -7, 1\/5?\nAnswer: 0.948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18899*q**5 - 5521*q**2 + 216616458*q wrt q?\nAnswer: -377980*q**3 - 11042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -15. Let v = -23 - r. Put v, 2, 4 in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1 + 1\/2*h**2 + 7\/6*h = 0. What is h?\nAnswer: -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 46*c - 2. Let t(z) = z**2 - 4*z - 17. Let p be t(7). Let a be y(p). What is the highest common factor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:22 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(66)*2 - sqrt(66)) + sqrt(66))\/sqrt(6))**2 + 1 - (sqrt(66) - -1*sqrt(66)*5)\/(3*sqrt(6)*2))*4.\nAnswer: -4*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - (1 + 40\/(-48)). Let k = -96 + 50. Let n = -43 - k. What is the nearest to -0.1 in x, n, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((135\/6)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 297.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 - 20 = 0. Suppose 15 = t*z - 3. Solve 8*f**2 + 0*f**3 - 8*f**4 - 6*f**3 - 8*f + 3*f + z*f + 8*f**5 = 0 for f.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2389*o**2 + 2389*o**2 - 99088*o**3 + 99092*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(64) + sqrt(4)) + (sqrt(720) + 1*sqrt(720) + 5)**2.\nAnswer: 1201*sqrt(5)\/5 + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjaayjjjppjajyaaj. What is prob of picking 1 y and 1 a?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:23 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722012939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3163*y = 3213*y. Solve -2*p - 5*j + 19 = y, 0 = 4*j + 36 - 56 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let w = 8 - z. Suppose 2*q = w*q - 118. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23555 and -0.05?\nAnswer: -1177.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 4*c - 3*p, -c = 4*p - 4. Suppose -c*k + 19519 - 4283 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/16 + 205\/820 - (-11)\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 47 = 2*a. Suppose -a = -y - 2*x + 5, 0 = -3*y + 5*x + 38. Let v = 25 + 15. Calculate the remainder when v is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 6:29 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 33 = 3*r + 3*o, -2*r = -4*o - 72 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2864859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l**3 + 227163*l**2 + 9*l**3 - 227294*l**2.\nAnswer: -39*l**3 - 131*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 2, -59\/4, -0.3, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)\/y*y**(2\/41)*y**(-16)\/(y*y**12) assuming y is positive.\nAnswer: y**(-1187\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 2b250b?\nAnswer: 2b2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-23022)\/(-4)*5\/30 - -3. Let u = 2529 - 1582. Let o = u - m. Calculate the common denominator of o and -26\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-8)*6\/(-9). Put l, -4, -0.1 in increasing order.\nAnswer: -4, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5545 less than -5548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uix when three letters picked without replacement from yxyyuinyyuyxunuy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 4*l**2 - 3. Let p(x) = x**2. Calculate 4*p(k) + z(k).\nAnswer: 2*k**3 + 8*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5\/2)*-14. Suppose 5*i - t = 13. Find the first derivative of -4 + 0 + 3 - 1 - i*w**2 wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.273 - 0.273. Let i = -17.99887 + y. What is i rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340935059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 16. Suppose t - v = 3*t. Let g = t - -5. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*h = 172, -2*i = -3*h - h - 76. Suppose i*o = 46*o - 40. What is the remainder when 77 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 - 3*d**3 = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*z**4 - z**4 - 11*z**4 - z**4 + 612*z + 913*z**3 + 1528*z**2 + 22*z**4.\nAnswer: -z*(z - 306)*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.67, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + sqrt(33)\/sqrt(3)) + -4*sqrt(11) + 0 + 0.\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -49, -42, -35, -28, -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -29. Let c = w - 30.5. Sort 1, -3, c.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5763836.05899954 + -5763836. Let m = -0.059 + a. Round m to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*a - 20, -3*a - 2 = -2*d + 6. Let s(o) = -o + d - 9 + 1. Let m(i) = -3. Let b(n) = 4*m(n) - 3*s(n). Let w(v) = 9*v**2. Give w(b(f)).\nAnswer: 81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 620*i - 1824 = 0.\nAnswer: 3, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13502 - 3?\nAnswer: -13505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318 + 238*c - 240*c + 33.\nAnswer: -2*c - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5658133 minus 0.46961?\nAnswer: 5658132.53039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -686 + 685. Let s(b) = 6800*b**2 + b + 4. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226318330.\nAnswer: 2, 3, 5, 151, 491461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = 16*v - 12793. Suppose 5*b - 2*b - 5*t = 441, 5*b + 5*t - v = 0. Which is smaller: b or 153?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1504 - 769. Suppose -233 = 2*a - z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b + 62. Let a be c(-3). Suppose 7*m - 14 = p + 3*m, 2*m - 18 = -5*p. Suppose a = p*o + 8. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:37 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -7) + 1 + 0. Suppose 5*d + 0 + r = 0. Let q be (d\/2)\/(2\/(-8)). Let s(w) = 3*w**2 - 4*w + 2. What is s(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -111221?\nAnswer: 112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 20*v**3 - 17*v**2 - 34*v - 11. Let o(z) = 7*z**3 - 6*z**2 - 12*z - 4. Determine -17*o(n) + 6*x(n).\nAnswer: n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:32 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 1. Let s be l(7). What is the greatest common factor of s and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21843\/(-4045))\/(3\/5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5.4 (b) 5 (c) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 32*v**2 + 130*v. Let z be b(-4). Is -3 - (-88)\/32 - 76858\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 47 = 4*b + 5*u, -u + 27 = 3*b. Let p(i) = -b*i + 12 + 11*i - 15. Let h(v) = -v**2. Calculate h(p(w)).\nAnswer: -9*w**2 + 18*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494 divided by 13.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wggg when four letters picked without replacement from gwgggwwwwg?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 175428*i**2 - 1923524160*i + 1923348736 = 0 for i.\nAnswer: 1, 21928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -257662699175 - -4\nAnswer: -257662699171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 + 32192*c**3 - 6*c**2 - 1069*c?\nAnswer: 48*c + 193152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(1\/11))\/p**(2\/41) assuming p is positive.\nAnswer: p**(839\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121136?\nAnswer: 2, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 13. Suppose r*i - 2 = i. Which is the third biggest value? (a) -0.1 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l + 2. Let z be 360\/(-44) - 2\/(-11). Let h = 6 + z. Calculate g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = -20*s - 39*s - 140 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from xhkkhhhkhkkkx.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16643 + -23?\nAnswer: -16666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -557 - -554. Let y(k) = -17*k + 2. Calculate y(u).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 832 - 591. Let l = -240.999997968 + i. What is l rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 32725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 14*f**2 - 2*f + 33. Let z be n(14). Find b, given that 2*b**2 + z*b**2 - 6*b**2 - 2*b**2 - 4 + 5*b = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 1 = -2*p - 8, 2*p - 5*u = 33 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1142, -1151, -1180, -1241, -1346, -1507, -1736, -2045?\nAnswer: -2446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221824.\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2841*m**2 + 444*m - 3504666 wrt m.\nAnswer: -5682*m + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.4 + 14. Let t = 1.1 + j. Let m = t + 0.2. Is 1 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -172, -127, -44, 89?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167588949?\nAnswer: 3, 11, 19, 137, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405749051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(18\/(-12)*(-40)\/390*13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430, -2230, -1 in decreasing order.\nAnswer: 430, -1, -2230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -9. What is the remainder when 73 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*x**3 - 131016*x**2\/7 + 29194*x\/7 + 876\/7 = 0. What is x?\nAnswer: -3\/112, 1\/4, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6462425 or -2?\nAnswer: 6462425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -2657 + 10735. List the prime factors of j.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**4 - 5*j**3 + 6*j. Let p(g) = g**3 - g. Let k(s) = -6*p(s) - v(s). Determine h, given that k(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((-63)\/(-21)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 + 14*o - 8. Let g(p) = -5*p + 3*p**2 + 4*p**2 + 3 + 0*p - 5*p**2. Determine 8*g(x) + 3*m(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.5 + -14. Let u = a - -0.2. Let z = u - 1.9. What is the closest to -2\/3 in 4, z, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*w + 85, -2*w + 48 + 7 = 5*o. Suppose 5*h - o*h + 3096 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1274*j + 1276*j + 5*m + 6 = 0, 2*m - 12 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4153710 and 538945?\nAnswer: 992736690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 2*o**2 - o. Let x(p) = 1290*p**3 - 10*p**2 + 3*p - 111. Let t(g) = -3*s(g) - x(g). What is the third derivative of t(i) wrt i?\nAnswer: -7776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 22*f + 82. What is m(-14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n)\/n*n**(-11\/2))\/(n*n\/n**(-2\/49))**(-7\/8) assuming n is positive.\nAnswer: n**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9469389?\nAnswer: 3, 3156463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28478\/29)\/(0 + (-54)\/37). Let j = -672 - x. What is the common denominator of -43\/18 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(114))\/(1*sqrt(150)).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -a + 24, 435*a - 437*a + 5*q + 52 = 0. Suppose -3*g - 3*p = 2*p - 11, -3*g = 2*p - 26. Calculate the highest common divisor of g and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38231.53652 + 38233. Let j = -1.44 + k. Round j to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 2. Let h = -2302\/777 - -92\/37. Let w = h - -1\/7. Which is the nearest to -1? (a) w (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) + 24\/60. Let g(w) = w**3 - w - 1. Let j(o) = o + 8*o + 6 + 0 - 3*o - 9*o**3. Give r*j(q) + 6*g(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Let t = 5 - u. Find y such that t*y**4 - 9*y**3 + 9*y**2 - 4*y**4 + 4*y**4 - 3*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30442 (base 8) to base 12.\nAnswer: 7342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3908 - 0.5158. Sort -7, h, -0.3 in decreasing order.\nAnswer: h, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -3*k**4\/32 - k**3 + 183*k**2\/16 - 39*k\/2 - 2685. Suppose q(l) = 0. What is l?\nAnswer: -13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (0 + 10\/6). Let j be 8\/((-25)\/(-6) - 4). Let c = j - 49. Is c smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*15\/(-165))\/8. Let o(r) = -r**3 - r**2 - 6. Calculate o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 15*r - 9. Let p be g(14). Suppose 2*q + 3 = p, 4*c - 5*q = -17. Which is greater: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-7)*4\/5. Which is the nearest to 0? (a) -5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 8879, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Solve h = -w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncioq. What is prob of picking 1 n and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 6*u + 2. Let i = 27 + -19. Suppose -r + i = -5*r. Let f = 7 + r. Give p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1347097, -2694163, -4041225, -5388283?\n\"Answer: 2*a**2 - 1347072*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 76334084?\nAnswer: 76334090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 23*f - 1. Let k be x(1). Suppose 0 = -4*v + k + 210. Calculate the remainder when v is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-6\/11)\/r)*r**(-17))**42 assuming r is positive.\nAnswer: r**(-6678\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 (base 5) in base 2?\nAnswer: -11101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/6527 + 633115\/13054. Let t be (32\/50 + 2)*-5. Let z = t - 303\/10. What is the common denominator of c and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*x - 43 = 181 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -6*j + 3*x + 15, -j + 4*x + 14 = 0. Solve -6*m + j = -0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Let s be 32\/5 - (-16)\/(-40). Is 3 - (-2*s)\/b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/7)*u*u)*(u\/(u*u**6)*u)\/u)\/(u**(2\/11)*u\/u**10) assuming u is positive.\nAnswer: u**(52\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14819227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9 and 0 + -7 + (-2926)\/(-561) - -3.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 796*k**3 - 824*k**2 + 4800*k.\nAnswer: 4*k*(k - 200)*(k - 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -3\/7, -13\/3, 0.04, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110000100111 + 11100?\nAnswer: 100011110001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.115249 from 6.1.\nAnswer: 5.984751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 90*l**2 + 20. Calculate j(45).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*h**2 - 126*h**2 - 16*h**3 - h - h**2 + 3*h**3 + h.\nAnswer: -13*h**3 - 197*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -0.0448, -0.1, 4703?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-31 - -41) + 1 + -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.2, 7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15604, 102, -5 in increasing order.\nAnswer: -15604, -5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/21 + -4\/7. Suppose -5*k + 0 - 5 = -3*t, -t + 5*k + 15 = 0. Let s = -990\/13 + 76. Sort t, m, s in decreasing order.\nAnswer: m, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (8 - 16 - 0)) + -32?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-7 - (17 + -92 + 9)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 7.3269392\nAnswer: 2.6730608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -142189 less than or equal to -568757\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 75*f**2 + 117*f - 4. Give y(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -87*r + 85*r + 2*o, r + 88*o = -265 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a (base 14) to base 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 723, 1452, 2181?\n\"Answer: 729*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-1)\/40). Let d = 13 + n. Let w be 0*(1\/1)\/2. Which is bigger: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 120\/(-35))\/(1818\/(-184527)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2039, 1913, 1663, 1259, 671, -131, -1177?\n\"Answer: -5*o**3 - 32*o**2 + 5*o + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-5) - -1 - (-55)\/(6325\/(-46)). Solve 0 = 3*d + h, 5*q - 5*d = 56 - 36 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let s(k) = 3*k - 3. Let c be s(2). Suppose 0 = -f + 14*f - 156. Let y(q) = -5*q + 4*q - c*q + 6 + f*q. Determine y(p(x)).\nAnswer: 8*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -351*q + 2452. Calculate the smallest common multiple of 5 and x(-9).\nAnswer: 28055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.148? (a) -0.05 (b) 3 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 4*p - 36 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 1.26. Let o = 0.14 - f. Let k = 1355.2 + -1355. What is the biggest value in k, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxu when four letters picked without replacement from uxxxxxxxuxx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 270 = 18*o. Is ((-6)\/o - 0) + (-44008)\/(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.4 (c) 0 (d) -3\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(448\/(-96)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/210*(-5)\/(-12))\/((-31)\/12)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -749*r - 10. Let a = 20 - 23. Let f be g(a). Let d = f - 11128\/5. What is the common denominator of 54\/5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912900 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 2)\/((-21)\/(-133))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 69*c - 475 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-4 - 1) + 6 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/6 + b**3\/6 - b**2 - b. Let g be (-5)\/(-2)*724\/905. Calculate m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by -5.\nAnswer: -311\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 0*n**3 + 3*n**3 + 29795 + 6*n**2 + 380.\nAnswer: 3*n**3 + 2*n**2 + 30175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/7 - 2613*j\/7 - 69966\/7.\nAnswer: 3*(j - 897)*(j + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -3 - (38 + -21)) + -16\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**1\/b)*b**(-6))\/(b**(-2)*b*b*b**(5\/2)))\/((b\/b**(-2))**(-13\/4)*((((b\/(b*b**(-3)))\/b)\/b*b)\/b)\/(b\/b**(1\/3))) assuming b is positive.\nAnswer: b**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583353 to the power of 1\/2, to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 66\/(-10) + (-15)\/(-25). Let r(v) = v + 28. Let m(p) = 2*p + 27. Let u(y) = f*m(y) + 5*r(y). Find the first derivative of u(k) wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2170.8 and -2.\nAnswer: -4341.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-4147)*13*244\/183\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -26*j + 23*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -38. Let p = -3 - 0. Let i = 5 + p. Calculate the smallest common multiple of s and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2036, -2038, -2040, -2042?\n\"Answer: -2*w - 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 657.3501ml?\nAnswer: 0.6573501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*t + 2*t + 8, -5*w = 4*t + 28. Let b = 1.018 + -0.018. Let j = -307 - -1541\/5. Put w, b, j in decreasing order.\nAnswer: j, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 46 = 15*a + 11, -b - 4*a = -14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 326788150 divided by 34435?\nAnswer: 9490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 - 4)*(-4 + 4 + 5)*(3*p - 80 - 2*p - 2*p).\nAnswer: 65*p + 5200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from zqeequzqqeqbzzere.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/15 and 13\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amxammxmamaamaa. What is prob of picking 3 m and 1 a?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(17)*-1 + -4 - ((sqrt(17) + (sqrt(153) - sqrt(17)))*-2 + (sqrt(833) - (sqrt(833) + 1)))**2).\nAnswer: -620 - 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 33\/8 (b) -4 (c) 5 (d) 3 (e) 1 (f) 7379\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(144)\/sqrt(4))*-2)\/(3*(sqrt(385)\/(sqrt(21)\/sqrt(3)))\/sqrt(5)).\nAnswer: -2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(392)*-1 + sqrt(392) + (sqrt(392) + 0)*-5 + sqrt(392))**2 + (sqrt(968) + -2 + 0 - (-2 + -2*sqrt(968)))**2.\nAnswer: 14984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-564720)\/(-408) - (-14)\/(-119)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 - c**3 + 2*c**2 - c. Let o be v(-6). Solve 3*q - x + 8 = 0, 0 = -2*q - q - o*x - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 3:31 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58\/13*s + 56\/13*s**2 + 0 + 2\/13*s**3.\nAnswer: 2*s*(s - 1)*(s + 29)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5364788.\nAnswer: 1\/2682394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16332 (base 8) to base 16.\nAnswer: 1cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 1, r: 3, e: 2, v: 4}. Give prob of picking 1 e, 1 f, and 1 v.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 18. Let n(h) = 4*h - 3. Let s(w) = 4 + 4*w - 9*w + 0. Determine u*n(a) - 5*s(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1 + 0*t**3 + t + 12 + 0 + t**3 + 7. Calculate y(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-250355129534\nAnswer: -250355129536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a43 (base 15) in base 10?\nAnswer: 69813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -5\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*5\/2*(-630)\/(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 111*x - 3. Let t(f) = 7*f**2 - 111*f - 4. Let j(g) = 4*n(g) - 3*t(g). Let u(l) = -3*l**2. What is j(u(y))?\nAnswer: -9*y**4 + 333*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 2*u - 2121 = 0. Let o = -176 + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 divided by -132188?\nAnswer: -79\/33047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 338 or 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*3*18\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2641, 0.4, -65, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 0*d**3 - 1\/12*d**4 - 2*d + 1\/40*d**5 + 0*d**2. Solve j(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 9. Suppose 40 = -c*a + 5*a. What is the remainder when 13 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9799 is divided by 9680?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9520 + 2190 = 291*o + 6481 - 1298 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-212*x + 0 + 322*x - 2)*(3 + 2 - 3).\nAnswer: 220*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -4423214?\nAnswer: -4423120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from pymppmmmpmpymymym.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-28) + 277\/(-4) - 1. Let r = x + 68. Put -4, 2, r, 4 in decreasing order.\nAnswer: 4, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91403745, 91403744, 91403743, 91403742, 91403741?\nAnswer: 91403740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-119))\/(6\/14)*1425\/(-50).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 6859*v**4\/5 + 4693*v**3\/5 - 1938*v**2\/5 + 44*v - 8\/5 = 0.\nAnswer: -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3638 (b) 0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12969639827*x + 6484819915*x + 10*x**3 + 6484819912*x - 8*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/5*101\/(65246\/170).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/((-80)\/24212))\/(12\/(-15)). Let s = d - 378. What is the common denominator of -93\/4 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 0.16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*g*w - 12*a**2*w - 193215*a**2 - g + 19555*w wrt w?\nAnswer: 2*a**2*g - 12*a**2 + 19555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1. Let u(z) = -118*z**2 + 3*z + 3. Let k(m) = -f(m) - u(m). Let y be k(-1). Suppose 5*b = 3*x + y, 0*x - 73 = -4*b - 5*x. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.79? (a) 0.3 (b) -11 (c) -1 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1.4, -0.037, 2, -30, -0.1, -1, -2\/3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 18*s + 11*s - 3 + s**2 - 4*s**2. Let c be v(-6). Let z be 1 - (c + 0 - 6). Solve 5*o = z*m - 1, 0 = o - 2*o - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let g be ((-5)\/(106 - -4))\/((-21)\/(-672)). Is g at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3068, 3090, 3126, 3176, 3240, 3318?\n\"Answer: 7*s**2 + s + 3060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 46.9999824. Round c to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/5 + 7466*w**3\/5 + 8974*w**2 - 7466*w\/5 - 44868\/5 = 0.\nAnswer: -6, -1, 1, 3739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (3 + 1 - 13). What is the greatest common factor of 33 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 17*i**2 + 11*i + 26. What is z(16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 1, r: 1, g: 1, w: 2, d: 1}. What is prob of picking 1 w, 1 x, 1 d, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 11*v - 72. Let s = v - -288. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*s**3 - h*s**2*u**2 + 225*h*s*u - 287398*s**3*u**2 - 2*u + 17 wrt u?\nAnswer: -2*h*s**2 - 574796*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84925179 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -18\/7 (c) -1 (d) -0.5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5214079921?\nAnswer: 19, 23, 41, 291013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 5. What is the units digit of l(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 4*x**2 - 2*x - 4. Let g be y(-3). What is the greatest common divisor of 88 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63551 - -3530.07?\nAnswer: 3530.70551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -4*o**2 - 6*o + 2. Let g = -31 + 28. What is the smallest common multiple of 12 and s(g)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24417661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - 3c?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/23)\/(b*b**(-3)*b)*(b\/b**(1\/3))**(-2\/113) assuming b is positive.\nAnswer: b**(8383\/7797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -206*u**3 + 30*u**2 + 52*u - 5. Determine q(-2).\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -80*t - 202. Let i be d(5). Let q = 605 + i. Solve -11*y = -8*y - q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/12 + l**3\/3 - 2*l**2. Suppose 33 - 57 = -8*n. Let y(d) = -2*d + 1. Give n*z(f) - 4*y(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-9)\/(-5)). Let h = -3714.2 + 3714. Which is the closest to h? (a) -0.1 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axyygxdhgyx. Give prob of picking 1 g and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/9 + 31898*p\/9 + 31900\/9 = 0. Calculate p.\nAnswer: -1, 15950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -30. Let q be 4*((-15)\/f - -3). Suppose -4*g + 23 + 11 = z, 2*g + q*z = 20. What is the smallest common multiple of g and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650412 (base 9) to base 16.\nAnswer: -5e96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 221057318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - x**4 + 2*x**4 + (x**4 - 3*x**4 + 3*x**4)*(1 + 2 - 5) + 2*x**4 - 5*x**4 - 2*x**4 + (1 - 2 - 1)*(3*x**2 - 3*x**2 + 2*x**4).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 + 111 - 3359*b + 11382*b - 27 to m*b + f and give m.\nAnswer: 8023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 - 14*m - 101. Determine d(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12971, -17902, -22833, -27764?\n\"Answer: -4931*z - 8040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -51, 0.5, 1\/7 in decreasing order.\nAnswer: 0.5, 1\/7, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7274*d**3 - 28*d - 2 - 1297*d**3 + 57*d - 27*d.\nAnswer: -8571*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 140 = -5*a, -2*u = 4*a - 9 - 97. Is a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 37 - 37)*(-2 + 4 + 0) + (3 - 1 - 4)*(6*m - m - 3*m).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577 >= 7578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -16. Solve k + 4 = -d*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/(-16) - (-1)\/8. Let s(f) = 6*f + 5. Let i(t) = -3*t - 3. Give v*i(d) + 3*s(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1929, -8672, -19919, -35670, -55925, -80684, -109947?\nAnswer: -143714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g - 4. Suppose 2*h = -3*k - g, -2*h + 16 = -0*k - 4*k. Let u = k + 3. Solve u = 2*y + 4*f + 4, -2*f - 3 = f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156468 is divided by 1550?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4565*j - 296730. Give g(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300\/7 - 6\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711286 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: c4 (base 16) to base 4\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o. Let p(x) = -101*x - 19. Determine n(p(q)).\nAnswer: -1515*q - 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 2*k**2 - 7*k**3 - 3*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1117, -4295, -9623, -17101, -26729, -38507?\nAnswer: -52435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48174)\/(-693) - 72 - (-2)\/(-22)*2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(432) + 2 + (sqrt(432) - -3*sqrt(432)))*-2)**2.\nAnswer: 1440*sqrt(3) + 43236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*1*(-176)\/(-176))\/(58\/12)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**2 - 13*k**2 + 2*k**2 + 317 + 42*k**2 - 2*k - 317.\nAnswer: 66*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1437*a**2. Let k(m) be the third derivative of -m**5\/30 + 714*m**2 + m. Calculate i(k(q)).\nAnswer: 5748*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 64\/3*u**3 + 66*u**2 + 0 - 1\/3*u**4 - 220*u. Factor w(v).\nAnswer: -4*(v - 33)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867396028181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10 and -16\/863.\nAnswer: 8630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - o**2 + 3*o**2 + 11 - 11 + 4*o**2 + (3*o**2 - 7*o**2 + 3*o**2)*(2 - 1 - 3))*(-48 - 76 - 204 + (3 - 1 - 3)*(5 - 1 - 3)).\nAnswer: -2632*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 11:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 15) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*v + x, 3*x = 5*v - 13. Suppose -2*w = -2*p + 40, 18*p - v*w = 21*p - 80. Calculate the remainder when 84 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g - 9*g. Let v(f) = -4*f**3 + f**2 + 4. What is the remainder when v(g) is divided by (0 - -9 - 1) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kovo when four letters picked without replacement from vvkoveovovpkv?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 4:21 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - 7. Let f(w) = -4*w - 20. Let a be f(x). Suppose 6*i = 55 + 365. Calculate the highest common factor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let m(b) = 21*b + 12054. Determine l(m(d)).\nAnswer: -42*d - 24108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6324)\/306)\/(-17 - -20).\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/d**(-20)*d*(d\/d**(-13\/6))\/d*(d**(-8))**(-10) assuming d is positive.\nAnswer: d**(637\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1751 - -1768. What is the remainder when 3058 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-14))\/(((-1)\/8)\/((-399)\/(-456))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/66 and (-180)\/144*(-148)\/(-330)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 6*n = -60. Let o be (4\/n)\/((-1)\/10). Suppose o*j - 60 = -6*j. Solve j*k + 2 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -5*c - 41. Is 52 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 7)\/4*-3. Let f(v) = -4*v**3 - 4*v**2 + v - 4. Let s(t) = -4*t**3 - 3*t**2 + t - 3. What is c*f(p) - 4*s(p)?\nAnswer: 4*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -337394.\nAnswer: -135\/168697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27611835 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from {c: 4, f: 9, l: 6}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**3\/3 - 3*g**2\/2 + g - 3. What is b(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65654 smaller than 65363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3410 - 488.654.\nAnswer: -3898.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrccccrcccjcr. Give prob of sequence cc.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 != -225\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mecm. Give 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: What are the prime factors of 6605513?\nAnswer: 6605513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9513054 years to months.\nAnswer: 11.4156648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465600 and 11900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29789 + 8121 = 2830*i - 25063 + 14863 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-140 + 28 + 23 - 132)*(0*l - 3*l + 2*l - 77*l - 96*l + 203*l + (-5 + 3 + 0)*(3*l - 3*l - l)).\nAnswer: -6851*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j*j*j*(j\/(j**(11\/7)\/j))\/j)\/j*j*j**20\/j assuming j is positive.\nAnswer: j**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let f(z) = -29386*z. What is y(f(m))?\nAnswer: 863536996*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbgbbbbbgbbgbggb. Give prob of picking 2 b and 1 g.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofo when three letters picked without replacement from {f: 2, j: 4, o: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -14. Suppose -2*j + 6 = j. Suppose 0 = 3*a - j*a - 18. What is the highest common factor of v and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1 + (316 - -2) - 3. Let c = 358 - l. Is c smaller than 77\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**9\/7560 - x**4\/4 + 3*x. Let i(j) be the third derivative of d(j). Solve i(b) = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, x: 1, m: 6}. What is prob of picking 1 x and 2 j?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 9*n**2 + 8*n - 14. Let c be z(-10). Suppose -5*k - 26 = -c*k. Suppose 3*x - 547 - k = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(17) + 2) + ((1*sqrt(17) - sqrt(17))*3 - sqrt(17)))**2.\nAnswer: 80*sqrt(17) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56472069 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1023 + 32?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44486 + 44482. Put 3, -6, 43, d in descending order.\nAnswer: 43, 3, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 2*w**3 - 50*w**2 + 50*w.\nAnswer: 2*w*(w - 5)*(w - 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjzjzjj. What is prob of sequence jj?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - o - 7*o)*(1 + 3*o - o**2 + o - 6*o) + 0*o**3 + 0*o**3 - o**3 to h*o + k*o**3 + r*o**2 + d and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i - i)*(i - i + 3*i**3) - 42*i**5 + 53 - 53.\nAnswer: -36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {t: 2, b: 7, w: 3, r: 5}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deqdjddqqiq. Give prob of sequence qeqe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18342 + 18936. Calculate the lowest common multiple of m and 297.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.53922 milliseconds in nanoseconds?\nAnswer: 92539220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 406, -1\/21, -0.3, 0.3, -17, 5 in descending order.\nAnswer: 406, 5, 0.3, -1\/21, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 29*w**3 - 36*w + 36*w + (65*w - 31*w - 32*w - 19*w**3)*(-6 + 5 - 1) to the form j*w**2 + b*w**3 + a*w + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182 less than 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651108911.\nAnswer: 1171, 3117941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12543 - 12543 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lxxlxlxxxlxlxx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1472\/920 - (-8)\/(-5). Find y, given that -1\/9*y**3 + 1\/9*y**2 - 1\/9*y**4 + p + 0*y + 1\/9*y**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-155 + 501 + 506 + (-4 + 1 + 1)*(-1 - 4 + 4))*(0*s + 0*s - 2*s) to y*s + o and give y.\nAnswer: -1708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 16) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16717, -32244, -47771, -63298, -78825, -94352?\n\"Answer: -15527*n - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 15228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60\/(-21)*14\/(-4). Let n(j) = 3*j**2 - 7*j. Let c(v) = v**2 - 3*v. Determine f*c(p) - 4*n(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 58 = 4*s, 4*s - 243 + 13 = -16*s - 4*a - a for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25 and 4986.71?\nAnswer: 5011.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*n + 5*m, -18 = -n - m - m. Calculate the greatest common divisor of 1048 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-216)*((-28)\/9)\/1)\/((-168)\/112)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 m when four letters picked without replacement from hjmmmjmjejeehmhjjjjj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -0.5, -9536, -26\/21, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1606 + 2518. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j**3 - 4*j**3 + 84*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 896367 divided by -2?\nAnswer: -896367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + 718. Is f(54) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/341544 and -125\/550836?\nAnswer: 146522376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18064 divided by 38201.\nAnswer: -18064\/38201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0\/1 + 159)*(-108)\/(-162) is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22321a (base 12) to base 15\nAnswer: ab58a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5358190189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 6. Let n(g) = 2*g - 7. Let c(d) = 3*n(d) - 4*u(d). Let y be c(-3). Let x be -7*(-4)\/(-12)*y. What is the greatest common divisor of x and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.12875 meters to millimeters.\nAnswer: 11128.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -35*i + 12. Let m be y(-5). Suppose -d + m + 3642 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7144, 0, -4 in descending order.\nAnswer: 7144, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-1078)\/165))\/(27\/(-18))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 154 = a - 81 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 56*y + 0*y**2 + 0 - 7\/12*y**4 + 0*y**3. Let a(i) = -3*i**2. What is r(a(s))?\nAnswer: -63*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*8)\/(-5) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 408\/7 or 57?\nAnswer: 408\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-3)*r**(-13\/5)*(r**0)**19)**19 assuming r is positive.\nAnswer: r**(-247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 23683 = -t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56650 by 5.\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3485508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4175 to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18336 * 0.0175.\nAnswer: -0.0032088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49992292?\nAnswer: 2, 7, 1785439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + (-2 + 0 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 d when four letters picked without replacement from {d: 4, e: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + a**5 - a**5 + (a**2 + 3*a**5 - a**2)*(-2 + 6 - 2) + 3*a**3 - 3*a**3 + a**5 + 4 + 2*a**4 + 147*a**5 - 149*a**5 + 2 + 5*a.\nAnswer: 4*a**5 + 2*a**4 + 5*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 40. Let a = -8 + w. What is the highest common factor of 84 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 341079011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2)*b*b*b)\/b)\/b**(2\/11))**(14\/5))**19 assuming b is positive.\nAnswer: b**(2394\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627 and 9234.\nAnswer: 101574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*z**4 - 261381*z**2 + 6734479 wrt z?\nAnswer: 28*z**3 - 522762*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Suppose -3*p = 4*c - 95, 0 = p - 6*p + 2*c + 115. Suppose 4*s + d + 4*d = p, 2*s = 5*d + 5. Sort -4, h, s.\nAnswer: -4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**4 + 55*s**3 + s**2 + 318*s wrt s?\nAnswer: 192*s + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 77 = 3*d, -7*g - 103 = -424*d + 427*d for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 601*k**7\/105 + 91*k**3\/2 + 233*k**2. Find the first derivative of q(r) wrt r.\nAnswer: 4808*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124740 = -101*f + 393592. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252 - 252. Suppose h = -4*b + 70 - 34. Let m = 96 - -3. What is the highest common divisor of m and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42501 bigger than -42501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/11))**(-1\/4)*(o**(-1\/4))**1 assuming o is positive.\nAnswer: o**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -113212004 and 0.2?\nAnswer: -22642400.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0979 + -0.0101. Is -0.3 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + (sqrt(136)*-4 - sqrt(136)))*5)\/sqrt(8).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252021862.\nAnswer: 2, 7, 13, 31, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.084542kg in micrograms?\nAnswer: 8084542000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p - 3. Let c(x) = -3*x + 1. Let l be c(2). Sort p, -2\/9, l in descending order.\nAnswer: -2\/9, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 12*v + 7875. Let c = v - -1591. What are the prime factors of c?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 48*l - 576.\nAnswer: 3*(l - 24)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10*u = -4311. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5530063 (base 7) to base 8.\nAnswer: 2457150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(108)\/(2*sqrt(4)))\/(sqrt(18)\/(2*sqrt(2))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2909 is divided by 773.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 86, 84, 70, 38, -18?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let g(b) = 2*b + 164. Calculate g(o(m)).\nAnswer: -4*m + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 - 27477b?\nAnswer: -27479d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - 0.38. Let i = -6.8 - -7. Sort i, 2, t.\nAnswer: t, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/13, -2771, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 261\/(-18) - (-3)\/(-2). Let l = s - -16. Solve l*u + 1 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytpkpwjttwyy. What is prob of sequence wy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -133560 at most as big as -133560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9572 - 15274. What is l rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557, 3114, 4671, 6228, 7785, 9342?\nAnswer: 10899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78572102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 11*t = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -46849.12.\nAnswer: -46853.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558 + 1422. Suppose y = 2*h + 4*m, 4*h + 7*m = 5*m + 1716. List the prime factors of h.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose g - 3 = w. Find the second derivative of -2*l - l**w - 3*l + 3*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87)\/(-18) - (-1)\/6. Suppose -3*c + i = -4. Put c, -5, -1 in decreasing order.\nAnswer: c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uun when three letters picked without replacement from {u: 2, g: 2, n: 8, w: 3, l: 2}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587228.\nAnswer: 2, 146807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425) + 5 + 6*(sqrt(425) + sqrt(425) + 1)**2)*2.\nAnswer: 250*sqrt(17) + 20424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151 + 145. Let y be 44\/i + (-4)\/6. Let d be 6*4\/y*(-6)\/(-18). Which is the second biggest value? (a) -5 (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + 2 + 4 + (5 - 1) + 6 + -23?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 11*h + 23. Determine s(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2555*b**2 - 435*b**2 - 962*b**2)*(3*b**2 + b**2 - 6*b**2).\nAnswer: -2316*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79169 - -163528. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvq when three letters picked without replacement from {v: 2, a: 4, u: 5, q: 2, z: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 4*l**3 - l)*(0 - 4 + 3).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.1, 38, -5, 1\/5, -6 in decreasing order.\nAnswer: 38, 1\/5, -0.1, -5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (0 - -1)*-12. Calculate the highest common divisor of a and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 2*t. Suppose 4*v + t*v = 144. Is 2 a factor of (-18)\/(-5) + v\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187586 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 + 2*k - 38. Determine y(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -721 + 326. List the prime factors of ((-405)\/4)\/(-10 - i\/40).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 2)*(-4 + 5 + 1) + 5 + 7 - 6)*(3 - t - 2 + 1).\nAnswer: -10*t + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239948 and 11596.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) - (sqrt(95) + (sqrt(95) - -2*sqrt(95)))))\/(sqrt(50)\/(sqrt(40)\/sqrt(4))) - (2 + (sqrt(114)\/sqrt(6))**2 + sqrt(133)\/(sqrt(7)*-3)).\nAnswer: -21 + 55*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25913?\nAnswer: 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57532, 57471, 57370, 57229?\nAnswer: 57048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 2. Let x = -8.2 - w. What is x rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -88*h**2 + 40*h**2 + 49*h**2. Let c(l) = 8*l - 5. Let y(m) = -12*m + 8. Let n(z) = -8*c(z) - 5*y(z). Determine t(n(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from {j: 3, v: 7, b: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13012303 (base 4) to base 5.\nAnswer: -1412412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3\/((21\/4)\/(-7)). Let i = m - -8. Suppose 6*v - 210 - 192 = i. Calculate the remainder when v is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000599 rounded to seven dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 2\/13, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-35 + 6 + 1 + (20 - 25))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.202294597 rounded to two dps?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:54 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 38. Suppose -w*m - 2*m = -10. Suppose -3*r + 5*y = -146 - 447, m*r + 2*y - 374 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8709.2487 to the nearest ten.\nAnswer: -8710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -242*w**4\/7 + 1056*w**3\/7 + 850*w**2\/7 - 408*w\/7 + 40\/7 = 0?\nAnswer: -1, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1784058696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14038182 rounded to two decimal places?\nAnswer: -3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*j**4 - 267*j + 267*j + (j + 2*j - 2*j)*(-2*j**3 - 34*j**3 - 2*j**3).\nAnswer: -79*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45051 or 45046?\nAnswer: 45051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 4, o: 4, d: 2}. What is prob of sequence cccp?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**3 + 7*q**2 - 7*q. Let t(i) = 4*i**3 - 2*i**2 + 2*i. Let r = 12 - 10. Calculate r*x(w) + 7*t(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 3*j**2 + 0*j + ((-3 + 4 + 3)*(-4*j + j - j) - 3*j - j + 0*j + 0*j - 4*j + 2*j)*(-3*j + 3*j - j).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9 - 23. Let w be x\/(-4) - (-5 - 0). Let l(p) = p**2 - 4*p + 3. Calculate l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 102120211201112?\nAnswer: 102120211201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + -2)) + 1 + sqrt(1539).\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**5 - 55*a**4 + 265*a**3 + 755*a**2 - 260*a - 700 = 0?\nAnswer: -14, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v + 194*v - 35*v - 38*v - 37*v - 41*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 344. Suppose 223*b = 221*b. Suppose 2*f = -2*p - b*p + 78, -2*f = -3*p - 78. What is the highest common divisor of a and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3204740 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5)**(-11))**(-2\/19) assuming i is positive.\nAnswer: i**(110\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3) - (-133)\/3. Let y = 12 - -2. Calculate the remainder when y is divided by (x\/36)\/(1\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let t(q) = -1. Let k(d) = -h(d) + t(d). Let i(g) = -g**3 + 10*g**2 - 7*g - 16. Let a be i(9). What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -747\/7. Is 1 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94700855 or -94700854?\nAnswer: -94700855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 2*k**2 + 6*k + 3. Let q be c(-4). Let g = q - -84. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2171 and 4175?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*r**2 - 2436*r**2 - 3*r + 3*r.\nAnswer: -2237*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 160580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/(q*(q\/(q*q\/(q*q**2))*q)\/q)*q**(1\/7)\/q**(3\/2))\/(q**(1\/5)\/(q*q**(4\/9)))**(2\/31) assuming q is positive.\nAnswer: q**(-91339\/19530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129886 a multiple of 887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73738*h**3 - 554*h**2 - 378413*h + 69 wrt h.\nAnswer: 442428*h - 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 10643 = 11919 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 3*d**2 + 3. Suppose v - 3*v + 6 = 0. Let l be c(v). Let o(p) = p + 11. Let x be o(-6). What is the smallest value in 0.5, l, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1070 (c) 0.2 (d) -5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**3 + 70725288*d + 659160258 wrt d?\nAnswer: 9*d**2 + 70725288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40032 or 200156\/5?\nAnswer: 200156\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*o + 8 = 0, 0 = 2*t + 3*o - 40 - 9. Let g be t\/(-3)*45\/6. Let l be ((-6)\/(-15))\/((-2)\/g). Calculate the greatest common factor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44748 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69325344 a multiple of 2844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*n**4 - 2*m*n**3 + 9*m*n - m + 270*n**4 - 2*n**3 - 42*n**2 + 2*n wrt n?\nAnswer: 72*m*n - 12*m + 6480*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjm when three letters picked without replacement from {m: 1, g: 6, j: 2, v: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -9*z - 8*z + 122 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*w**5 + 77833*w**2 + 17958876*w wrt w.\nAnswer: 260*w**3 + 155666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1037.5 + 41.5. Let t = p - -1015. What is the smallest value in 3, 0, 5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1990*z + 1743*z = 6916 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 1494306*b**3 + 186058280343*b**2 + 5210510534460*b + 36475624044300.\nAnswer: 3*(b - 249065)**2*(b + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 1. Let g be u(0). Suppose 5*c - 21005 = 5*i, -3*i = 4*c - 6*c + 8407. Let z(q) = 4196 - c - 8*q. Calculate z(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*t - 212*t - 8438 - 6148 = 0 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8)**(-9) assuming y is positive.\nAnswer: y**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 2 (d) -169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47102 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 377*g*m**3 + 110*g - 1 wrt m?\nAnswer: 1131*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54574 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six sevenths of a week in days?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 14, 20, 26, 32, 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*c**2 + 7*c**2 - 17*c + 17*c to a*c + p + i*c**2 and give i.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2aa (base 16) to base 9.\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 7*g - 15. Let w = -97 + 88. Let z be c(w). Solve -i = -z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -130*v**3 + 6*v**2 - 6*v + 6. Let q(t) = -t**3 + t**2 - t + 1. Determine 6*q(z) - u(z).\nAnswer: 124*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 666983027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2. Let l(c) = -c + 2. Let y(b) = b**2 + 2*b - 4. Let p(a) = -4*l(a) - 2*y(a). What is g(p(q))?\nAnswer: 24*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (117\/(-52))\/(3\/(-8)). Let k be 1\/(9\/l) - 210\/(-9). Let q(a) = a - 20. Let i be q(k). Let t(v) = -v**3 + 5*v**2 - 7*v + 5. Calculate t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a + 5. Let x(d) = -9*d + 4. Let b(y) = -4*h(y) + 5*x(y). Let k(t) = -25*t**2 + 2*t**2 - 20*t**2 + 16*t**2. Give b(k(s)).\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 6*v**2 - 12*v - 4. Let a be u(-3). Suppose 2*p + 3*p - 2*w = 8, -8 = a*p + 2*w. Solve 27*l - 30*l + 15 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*z**4 + 323112*z**3 - 3141075*z**2 - 4480302*z - 1016136 = 0. What is z?\nAnswer: -15396, -1, -2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - 4*y. Suppose -y*h + 235 = 3*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488 - 806879620\nAnswer: -806879132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 3*r**2 + 6*r**2 - 3 + 4. Let n(s) = -s**2 + 4*s + 2. Let a be n(4). Does 12 divide u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11928 divided by 2982\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0768443551+222\nAnswer: 222.0768443551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 15*q**2 + 13*q + 17. Calculate n(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 4*c**2 - 24*c = 0. What is c?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1, 0, 2\/3 in descending order.\nAnswer: 2\/3, 2\/15, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(((p*p**24)\/p)\/p))))\/(p*p\/(p\/p**(-5\/3)))*p\/(p**(3\/23)\/p)*p*p**(-11)*p assuming p is positive.\nAnswer: p**(-1964\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2416)\/12*3\/(-2). What is the tens digit of i\/8 + (-12)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -68946\nAnswer: -68946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 71 + 21*u)*(-u**2 + u**2 + u**3).\nAnswer: 21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 570.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343 + 880. Suppose 3*u + 3*w - y = 6*w, -5*w = -2*u + 373. Calculate the smallest common multiple of 10 and u\/8 - (-3)\/12.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 451, 364, 277?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14725712 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/3, 5, 0, -2, 1\/96, 1181 in descending order.\nAnswer: 1181, 5, 1\/3, 2\/9, 1\/96, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1805, -3611, -5417, -7223?\nAnswer: -9029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/4 (b) 35 (c) 0.9 (d) -2\/571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 3*d**2 - d**2 + (2*d - 2 + 2)*(3*d + 0*d - 5*d) - d**2 + d**2 + d**2 - 2*d**2 + 2*d - 5*d**2 + 4*d**2.\nAnswer: -5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1173040 and 73\/408.\nAnswer: 59825040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*d**3*t + 36*d**3 + 3*d**2 + 6*t wrt t?\nAnswer: -12*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -92.98, -5, -1\/10, 3, -3, 0.1 in ascending order.\nAnswer: -92.98, -5, -3, -1\/10, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 536122 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 - 3*j + 4. Let c be k(3). Suppose 0 = 5*a + 4*i + 2 + 22, 0 = 2*i + 12. Solve 4*r - c*y - 16 = a, 3*r + 1 = -3*y + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1270.18 and 1855845.\nAnswer: 1854574.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.664601319 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110000 - 10?\nAnswer: 1111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((18\/(-4))\/(-3))\/(18\/(-16)). Let q = 7 - 5. What is the nearest to -1 in m, 0, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 - 4 = -4*j. Let c = j - -3. What is the highest common divisor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68305 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67d8a (base 15) to base 4.\nAnswer: -1100222332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -47. Let m be q\/11 + -1 + 3. Let u = 16.92 - 17.22. Which is the second biggest value? (a) m (b) u (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1377051\/7 - -197053. Let g = 332 - h. Let m = -3 + 3.3. Sort g, m, -3 in descending order.\nAnswer: g, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 4*k - 1. Let r be 286\/(-11) - (0 - 0). Let t = -26 - r. Suppose -6*i - 14 - 10 = t. Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228573025 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5115180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16706171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + 112\/64. Let i(f) = f + 11. Let r be i(-7). Suppose 3*o + r = a + 3*a, 4*o + k*a = 2. Solve o = s + b + 2 - 4, 0 = -4*s - b + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = 4*b, -b + s = b - 5. Let u be -9 + 11 - -3*3. Suppose p + b*p - u = 0. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 828961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864 is divided by 850?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8318 = 5*r + 4*c - 8678, -4*c - 4 = 0. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 55*i**2 + 3*i + 59*i**2 - i - 37*i**2 in the form n*i**2 + r + f*i and give n.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(0 - 1 + 3)*(4 - 4 + y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.506682 rounded to 3 decimal places?\nAnswer: 0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.88? (a) -3 (b) -8 (c) -5 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2551, 6, -4 in decreasing order.\nAnswer: 2551, 20, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48\/5 - -10. Let p = -19.4 + 19. Let f = -18 + 18.2. What is the smallest value in l, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2) + -2 + 5. Let u be x\/7 + (-9)\/252. What is the second smallest value in u, 3\/4, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 28*p**2 - 20*p - 119. Let v be d(27). Solve 0 = -10*i + 30 - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*((-21)\/9 - -2). Suppose -g*q - q = 5*i - 19, 0 = 5*i + 2*q - 17. Is 3 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d - 4*d - d + 7*d + 0*d - 433 in the form c + m*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78.982 - -0.018. Let m = 79.1 - q. What is the nearest to m in -5, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d + 3. Let r(x) = x + 12. Let w be r(-9). Let o(t) = 11*t + 4. Let n(z) = w*o(z) - 4*c(z). Let i(b) = b. Calculate n(i(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (22 - 18) - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 9) to base 7\nAnswer: -5004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 12655 = 170735. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5453000 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*h*v*z**2 + 3*h*v*z + h*z**2 - h - 6*v*z + z**2 + 8*z wrt z?\nAnswer: -252*h*v + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 586\/15 at most as big as 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p + 10*p + 0*p**2 + 2*p**2 - 50*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7190*g + 4979*g - 62 + 34 + 28 as t*g + u and give t.\nAnswer: 12169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 132\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - g + 2. Let u be (1 - 1)*(0 + 1). Let x be f(u). Is x\/(-8) + (-805)\/(-20) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7103 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(378) - sqrt(378))\/sqrt(6))\/(sqrt(90)\/(sqrt(100)\/sqrt(10))))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(((-5)\/110)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2567 + 2563. Put 0.5, q, 9, -1, 1 in decreasing order.\nAnswer: 9, 1, 0.5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343173 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7415127005 and -0.156.\nAnswer: -7415127005.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 + -165. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217 and 5?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5528 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374314609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8232570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*t - t. Let s be 15\/t*(-4)\/(-3). Suppose 3*m - 33 = -3*b + 12, -s*b + 2 = 0. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2)\/((-15)\/20). Let h(n) = -3*n**j - 20 + 20. Let q(m) be the second derivative of m**4\/6 + 6*m. What is q(h(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4\/7, -29\/5?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3780000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883523935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 10*n - 5. Let f be h(9). Calculate the greatest common divisor of f and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 122 + 122.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + (3 - 2). Suppose a + 2*a - 12 = g. Suppose a*x = 4*h - 64, 16 = h - 2*x - 3*x. Solve -3*u = u - w, 4*w = -h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4251838 to the nearest integer?\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmmwmmgmmwmwmww. Give prob of picking 3 m.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nachhnhhhnnnhcnnnnhh. What is prob of sequence ch?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 11) to base 16.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -31 (b) 12 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from pdwwgddudpdwwdu?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/(-44)*(-5 + 1435\/45) and 133\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0 + 0)*(-g + 13*g - 83*g**2 - 13*g).\nAnswer: -83*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/3357 and 38\/31705.\nAnswer: 285345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-2) - 5)*-1. Suppose 5*x - t = 13. Differentiate -1 + 0*h**2 - 6*h**2 + 2*h**2 + x with respect to h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b - 62. Suppose 4*r + j + j = -b, 4 = -4*j. Let z be (-3)\/9*r*17. Solve z = -5*y + 5*h - 8, -10 = -5*y - 2*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661983929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 38527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.723? (a) 0.02 (b) 286 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36339\/(-2)*((-2)\/12)\/(20\/160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4001 rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 42 + 36. Suppose 4*w - w = 3*t + l, 23 = 3*w + t. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((1 - 0)*1). Suppose 3*l + 54 = z*l. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 2*t**2 - 2*t - 11 - 9*t - 18*t. Let v be j(-12). Suppose 5*n = 4*h - 204, n - 73 = -h - v. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1727105, -1727253, -1727413, -1727591, -1727793, -1728025, -1728293, -1728603?\n\"Answer: -i**3 - 141*i - 1726963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511 and 4362918.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 126795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -116. What is the derivative of -16 + 10 - p - 2 + 71*j**4 wrt j?\nAnswer: 284*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-6))\/(1\/3). Let z be 0*(3\/2 + -2). Let d(j) = -j**2 + 16*j - 21. Let y be d(14). Solve -k - u = y, 3*k - 4*k - 3*u - l = z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 904, 1983, 3770, 6265, 9468?\n\"Answer: 354*n**2 + 17*n + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/224 and -13\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 + -0.17. Put w, -3, -4 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 0*w)*(2 - 1 + 3).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 3, o: 3, q: 1, a: 7, n: 2}. What is prob of sequence sn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 142*n - 802743 - 433225. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/1670933 and 85\/4.\nAnswer: 6683732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by 427619\nAnswer: -238\/427619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8 - 2*w**2 - 8*w - 7*w**2 - 7869*w**3 + 15739*w**3 - 7871*w**3. What is d(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5569 + 7875. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 436423 + 4?\nAnswer: 436427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12433*k - 86593. What is u(-7)?\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {b: 4, n: 1, y: 4, o: 1, s: 6}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 40 = -t. Suppose 3*c + t*g - 164 = 0, -g - 137 = -4*c + 74. What is the remainder when c is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-153))\/(368\/36 - 10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1672.98 - -1673. Let o = 6 - 4. Which is the second smallest value? (a) o (b) 0.1 (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovvivanoxvxivov. What is prob of sequence xxo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 0.08. Let x = 52 + -47. What is the smallest value in -2, x, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*j = 356*j - 30, -j = 5*v - 3489. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -4*m - 120. Let u = m + -65. Suppose -6*c + b - 4150 = -c, u = -c + 5*b - 830. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 52. Let k be m(-7). Let l(w) = 16*w + 24. Let y be l(k). Suppose 18*g - 34 = y. What is the highest common divisor of 117 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3*y - 5*y)*(5 - 5 - 10) + y + y + 0*y - 144*y + 274*y - 36*y.\nAnswer: 86*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-136 - 127 - 164 + 359 + p)*(-p**3 - 3*p + 3*p) as w*p**2 + n*p**4 + h*p**3 + m*p + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5 - 4390*a**4 + 2402154*a**3 + 7818286*a**2 - 314028260*a = 0. What is a?\nAnswer: -13, 0, 10, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Suppose 0 = v*u - 7*u + 54. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/85, 0.09, -1\/6, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 6*o + 4. Suppose 0 = -5*i + 75 - 15. Calculate the least common multiple of a(-6) and i\/4 - (0 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*i - 24 = 2*g, -20 = -2*g + i. Let s = 9 - g. Is -1\/4 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 9, g: 2, z: 2}. Give prob of sequence qzg.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -2 (c) 2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/8)\/(-2*4\/336). Let a = 97 - p. What are the prime factors of -3*131\/12*a?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*s**2 - 11*s + 11*s)*(8 - 11 - s - s) to t + h*s + z*s**3 + r*s**2 and give r.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqtqtqqqqqqccqqtqq. What is prob of sequence cq?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*s**2 + 250*s**2 - 43*s**2)*(-3*s**3 + 0 + 0 + (-4*s**3 + 3*s**3 + 2*s**3)*(4 - 3 - 3) + 1 - 1 - 2*s**3 + 0*s**3 + 4*s**3 - s**3).\nAnswer: -1044*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**2 + 2*s. Let k(o) = -5*o - 80. Let a(r) = 15*r + 220. Let n(z) = -4*a(z) - 11*k(z). Calculate m(n(f)).\nAnswer: 450*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -4. Suppose -2*l - m - 10 = 3*m, 0 = 3*m. Let q be 2\/l - 230\/50. Which is the nearest to -1\/4? (a) 2\/15 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0382064 weeks?\nAnswer: 23107.23072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from dppjddkppprrxprrr.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280*i*n*r**3 + 4*i*n*r**2 + r**3 + 4 wrt r?\nAnswer: 1680*i*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from gygjgymqgygjgmymy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -101223120103 (base 4) in base 7?\nAnswer: -54250405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/3 + -8\/3. What is the third biggest value in -0.3, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 785105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149250 and 11925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35646 is divided by 56.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259 (base 12) to base 9.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 538 + 22122*u - 11068*u - 11057*u to the form t*u + d and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.15 + -19.45. What is the closest to -1 in g, 0, -8, -2\/23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12095*m**2. Let i(v) = -183*v. Calculate i(w(a)).\nAnswer: 2213385*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.06, 3\/94?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1820)\/50)\/((-68)\/(-255)*3*(-2)\/4).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -70. Let g be (-54)\/5 - (-9)\/a. Do g and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 + 403*l - 84. Let o be n(50). Solve o*f - 3 = 65*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622218?\nAnswer: 2, 1311109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112100031 (base 4) in base 10?\nAnswer: 91149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -0.5, -3\/32 in decreasing order.\nAnswer: 2, -3\/32, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h + 24 - 24 + (2 + 2 - 5)*(-4*h + 2*h + 7*h) to the form c + g*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2219 is divided by 460.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0598 and 2.2.\nAnswer: 3.2598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5496 from 1825690.\nAnswer: 1820194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 17*u**2 - 28*u**2 - 3*u to the form g*u**2 + x + h*u and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 226\/(-3)*(-27)\/9. Suppose -190 + m**3 - 111*m**2 - 58*m**3 + 120*m + 12*m**4 + b = 0. What is m?\nAnswer: -2, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110 (base 3) in base 14?\nAnswer: -c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 399.7 + 238.3. What is the smallest value in 2\/9, 0.4, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/11, -4, 3, -2\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q + 24. Suppose f = 5*z - 22, -2*f - z - 20 = -3*z. Let x be l(f). Let j be ((2 - 3 - 2) + x)\/2. Solve -g + 5*g - 8 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/19)*s)**(-1\/25) assuming s is positive.\nAnswer: s**(-36\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 95308\nAnswer: 5\/95308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, s: 1, f: 4}. Give prob of picking 1 f and 1 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6641285*d + 5 - 6641286*d - 5.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 556\/14249 or 0?\nAnswer: 556\/14249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.53? (a) 3 (b) -183 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 3*sqrt(704)) + (-2*(0 + sqrt(704)) - (sqrt(704) + -3*(sqrt(704) - (sqrt(704) + -1)))**2) + -4.\nAnswer: -747 + 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7652 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 9*z = -3500. Let u = 515 - z. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 60679536 = d. Let u = d - -20839768. Round u to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*h**3*o**2 + 1546*c**3*h*o + 153206*c*h**3*o**2 - 32*h**2*o + 2*h*o**2 wrt h.\nAnswer: 12*c**3*o**2 + 919236*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-342)\/(18\/(-6)) + 2. Let t be 28\/(-266) + n\/19. Solve 5*m + 31 = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12 - (-3510)\/40. Is 23 a factor of (-15 + 1)*w\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/15)\/(f**(-27)*f)*(f**(-20))**(1\/20))**(2\/13) assuming f is positive.\nAnswer: f**(742\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -6*(-2*sqrt(121) + sqrt(121)))\/(sqrt(99) + (sqrt(99) - (2*sqrt(99) + sqrt(99))) - sqrt(99)))**2.\nAnswer: 539\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/16)*u)\/u*u*u\/(u\/u**33)*(u\/u**27*u)\/(u**(-6\/7)\/u) assuming u is positive.\nAnswer: u**(1237\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 + (-69 - (-13 + 24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24066971.\nAnswer: 43, 631, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**41*i**(-2\/15)\/i*(i*i**(-1\/3))\/i)\/(i**7*i**(-4)*(i*((i**0*i)\/i)\/i)\/((i*i\/i**(5\/4)*i)\/i)) assuming i is positive.\nAnswer: i**(-223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3192, 3191, 3190?\n\"Answer: -v + 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*v + 7203206*m**3 - 4*m**2*v - 109*m**2 - 2630*m*v + 2 wrt m?\nAnswer: 12*v + 43219236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7202 < -7228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0)*(21 + (9 - 15)). Solve x - 13 = -z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567898 = 217*y - 422920 - 695055. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 173, -1\/4, 5, 1\/7, 3\/4, 1, -151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232959979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.405191 to 3 decimal places.\nAnswer: -0.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2229)\/(-900))\/(169\/(-39)). Let j = u - -11\/100. What is the closest to 1\/4 in j, -3\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-12)\/81)\/((-8)\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f + 120. Let j be ((-22)\/4 - -4)*-2. Suppose -92 = -4*g + 3*m, j*g = 5*m + 29 + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*d = -3 - 3, o - 3*d - 12 = 0. Suppose -t - 5*w + 5 + 14 = 0, -o*t + w = -41. Calculate the remainder when t is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3335 + -2357. What are the prime factors of k?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(4 - 2*i - 4) + i - 3*i + 0*i - 1 + 1 - 2*i + (0 - i + 0)*(-2 + 2 + 2) - 2 - 3*i + 2 + (0 + 2*i + 0)*(-1 + 2 - 2) + 2*i + 10 - 10.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 10*h - 3. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (0 + 0) - (-35 - 28). Let x = b + -65. What is the nearest to 0 in x, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/5 - (-12)\/20. Suppose -7*q + c*q = -25. Let t(l) = l**2 - 8*l - 2. Let g(s) = -2*s**2 + 15*s + 4. Let m(h) = -3*g(h) - 5*t(h). Give m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -25. Let z be (36\/q)\/3*-5. Let s(g) = -4*g**2 + 3*g**2 + 0*g + 4*g + z. Determine s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*k - 5. Calculate the lowest common multiple of 138\/(-276) + (-229)\/(-2) and k.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 124*y - 640. Give b(-72).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*2 - sqrt(4) - sqrt(144)*1)\/(-2*(sqrt(200) + sqrt(200)*1 + sqrt(200) + sqrt(200))).\nAnswer: 3*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127354, -1018942, -3439042, -8151910, -15921802, -27512974, -43689682, -65216182?\nAnswer: -92856730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7 - 7 + s. Let z(n) = 5*n**2 + 18. Let l(o) = 3*o**2 + 8. Let g(x) = 9*l(x) - 4*z(x). What is g(y(d))?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/6, 3, 1.5 in decreasing order.\nAnswer: 3, 1.5, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15)*(1 - 2 - 34). What is the second derivative of -29*y - 31*y**5 - 21*y + 2 - 21*y - 2*y + s*y wrt y?\nAnswer: -620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8617954g to nanograms.\nAnswer: 861795400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-16 - -13 - -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1768*z = -116116 + 11804 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) -0.47 (c) 2 (d) 2\/11 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15*n + 460. Give i(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + d = 64 - 69, -2*b = 3*d - 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -2914.\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477382 is divided by 86904.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 560*o**2*t**5*y - 13*o**2*t**2*y - 3*o**2*t + 1189*o*t*y + y wrt t.\nAnswer: 11200*o**2*t**3*y - 26*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1855, -3646, -5437?\n\"Answer: -1791*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -92166?\nAnswer: -19\/30722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 + 8 + 0*i - 6*i**4 + 0*i wrt i?\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-20)\/(-72))*1\/1. Let v = t + 58. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.199 - 36.801. Are 0.1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)*w*w*w)**(1\/25))**(-10\/9) assuming w is positive.\nAnswer: w**(-13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*b - 56*p + 41 = 639*b, 0 = -5*b + 2*p + 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3457 divided by -3457?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130489, 2260977, 3391467, 4521959?\nAnswer: 5652453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 5*q - 1840. Let f = -180 - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2 - r - r - r + 2*r. Let v(x) = 0*x**2 - 10*x**2 + 9*x**2 + 14*x - 19. Let t be v(13). Determine h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4033*a**6*o - a**2 - 343*a*o wrt a?\nAnswer: 483960*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 40 = 3*k + k, 0 = 4*k - 3*p + 47. Let l(d) = -d**2 - 10*d + 12. Give l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.33, 38, -2\/17, -62, -3 in ascending order.\nAnswer: -62, -3, -0.33, -2\/17, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*l + 12*l + 123 + 17*l - 642 - 50*l to d*l + v and give v.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39674255 is divided by 39674165?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/sqrt(175) + 2 + sqrt(38)\/sqrt(2).\nAnswer: 2 + 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(243)*-5 + 4)*-2)**2.\nAnswer: -1440*sqrt(3) + 24367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.496088mm to kilometers.\nAnswer: 0.000001496088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((124\/31)\/(2*-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Suppose -3*k + x + 268 = y, 0 = -0*k + k - 5*x - 94. Suppose k = 6*b - 5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 26. What is the remainder when 179 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 42. Suppose 3*i = 5*j + 6*i - 558, -4*i = 5*j - 554. Suppose -5 = -g + j. What is the highest common factor of g and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 26. Let j be c(-12). What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -142 and 41164 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299830 is divided by 1052.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/69 (b) -0.2 (c) 1070 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 4992*r**2 - 88884*r - 398520.\nAnswer: -4*(r + 9)**2*(r + 1230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 27*g + 20*g - 807105. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*q**2 + 3*b**2*q + 2396*b*q**2 + 43214*q**2 wrt b?\nAnswer: 2*b*q**2 + 6*b*q + 2396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + 377\/(-394))\/((-3740)\/(-1360)) and -41\/33.\nAnswer: 6501","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 8 - 442*f**2 - 29.\nAnswer: -442*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 20 = 3*j, 6*n - 71 = n - 3*j. Suppose -10*k + n*k - 162 = 0. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 70 = -2*s, 3*s = 3*o - 90. Let t(r) = -62*r**2 + 29*r**2 + o*r**2. Let v(d) = -6*d. Give v(t(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p - 23 = -23. Suppose p = 7*r - 1075 - 2509. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 1321*c + 4. Let j(p) = -42276*p - 130. What is -2*j(d) - 65*x(d)?\nAnswer: -1313*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 5\/431 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456069071 + 2339.\nAnswer: 456071410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Suppose -3*t = -m - m + 17, -2*t = -h. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -286808 + -340?\nAnswer: -287248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-32 + 39)) + (0 - 1 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55155225 (base 6) in base 11?\nAnswer: a26502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*g + 6*y - 132 = 156*g, g = -3*y + 60 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + 7.3. Let h = 2.9 + -2.7. Which is the second biggest value? (a) h (b) -3\/4 (c) k (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*p)*(-8 + 0 + 0) + (2 - 4 + 3 + 2 + 1 - 2 + (5 - 3 - 4)*(5 - 1 - 2) + 0 + 2 - 3)*(-2*p + 1 - 1) as l*p + c and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2322 or 47?\nAnswer: -0.2322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9819, 19659, 29499, 39339, 49179?\n\"Answer: 9840*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 + -13 - -3549) + -14?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q - 2*q + q)*(1 + 1 - 2 + 2).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-560)\/(-168) + 2\/3. Let l(g) = g**2 + 0*g + 5*g - 3*g**2 - 6. Determine l(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -173 + 59033*o**3 - 59032*o**3 - 268*o + 176 in the form i*o + g*o**2 + v + h*o**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-1)\/(-6)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {n: 1, o: 1, w: 1, i: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33801563 + 33801564.7899923. Let f = 214 - 215.79. Let b = f + h. What is b rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -235.\nAnswer: -9\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.79 take away 12.06572?\nAnswer: -15.85572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 73*d**2 + d**3 - 75 - 248*d + 78*d + 135 - 3*d**3 - 68. Calculate j(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 548 = -2037. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1315363062899 - -1315363044636.38099923. Let y = 18105.619 + w. Let m = y - -157. What is m rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -581*a + 1167. Let w be l(2). Sort 1, -185, w, 0 in descending order.\nAnswer: w, 1, 0, -185","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:30 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zszrfrzrsrnszcfssss. What is prob of picking 1 f and 1 s?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbnbbnnbbb. What is prob of picking 2 n and 1 b?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(5\/7)*w*w**(2\/25)*((w\/(w*w**(-2\/13)))\/w)**(7\/10) assuming w is positive.\nAnswer: w**(5469\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 20*t**2 + 19*t + 83. What is the remainder when 118 is divided by r(21)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = 4*o - 10, -5*o = 4*w + 49. Let g be 12\/2 + (-9 - w). Solve g*y - 10 = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a**3 - 137*a + 136. Let r be k(1). Let o(f) = -2*f - 6. Let q(h) = 7*h + 18. What is r*o(p) + 3*q(p)?\nAnswer: 5*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3887\/248 - 234\/31. Is 7 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 5*y**2 + 2*y. Let w(o) = o**3 + 7*o**2 + 20*o + 47. Let r be w(-5). Determine c(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 438, 1759, 3978, 7095?\n\"Answer: 449*p**2 - 26*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6987)\/(-697) - 10)\/(((-2)\/(-3))\/(-2))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 3. Let v = a - 2. Let q(w) = w**2 - 4*w + 2. Let g be q(v). Is g equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 673426 by -3.\nAnswer: -673426\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 24*f - 22.\nAnswer: -2*(f + 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (780\/10)\/13 - (2 - -2). Sort v, 4, -5, -497, -1.\nAnswer: -497, -5, -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 5*g + 16, -2*c + g = 8. Let j be (348 + 0)*(-6)\/(-9). Calculate the remainder when 83 is divided by (j\/16)\/((-2)\/c).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2091 or -2101?\nAnswer: -2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -67 + 112. Let v(r) be the first derivative of 1\/3*r**3 + 0*r + 0*r**2 + 0*r**4 + 1\/5*r**i + 4. Find the third derivative of v(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*j - 11*j + 86*j to the form l*j + b and give l.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/((-5)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 + 209*z - 4628. What is u(-69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3203 + -9397. What is b rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11872 divided by -2968\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -439 or -7\/9864?\nAnswer: -439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110886, 110591, 110308, 110043, 109802, 109591, 109416, 109283?\nAnswer: 109198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - 21*(-12)\/(-27). Let u = 5.4 + -0.6. Let f = u - 0.8. Put f, 0.4, b in increasing order.\nAnswer: 0.4, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:26 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l + 49 - 4069 = 0. Suppose -5*v - l - 727 = -j, -20 = -5*v. List the prime factors of j.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/64 and 7\/61014.\nAnswer: 1952448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1928 + 1930. Let n(c) be the second derivative of 1\/14*c**7 + 0*c**3 - 9*c + 0*c**h + 0 - 1\/4*c**4 + 1\/10*c**6 - 3\/20*c**5. Solve n(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*c + 82. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-13))\/((-916)\/(-22442))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o - 12. Let v(x) = 1. Let g(r) = d(r) + 3*v(r). Let z(n) = -7*n + 6. Let w(k) = 5*g(k) + 7*z(k). Give w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*l + 5*b, -l + 6 - 9 = -2*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Suppose 0*y + x*y = 132. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*b - 516 - 490*b**2 + 258 + 258 wrt b.\nAnswer: -980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -12*g + 45455. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o + 6024 = -392*o - 66*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/5 and -43\/198477.\nAnswer: 992385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + (-4*sqrt(14)*2 - sqrt(14)))\/(6*sqrt(7)*2).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - h**2 + 7*h**3 + 1 + 3*h**2 wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-12)\/(-3) - -3. Let j be b\/16 - 220000035\/20. Let c be (-1)\/(-1) - (j - -3). What is c rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 7. Suppose j = -z - 3*z - 21, z = -5*j - 10. Let f(d) = -3*d + 6. Give z*m(o) + 6*f(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 6 (c) 0.1 (d) -386.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 1, i: 1, q: 1, z: 1}. Give prob of sequence nfiz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 430 = b + 4*b. Let y = b - 41. What are the prime factors of (-278)\/(-6) - 15\/y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*b - 4*w + 248, 4*b = -4*w + 476. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 20. Let k(s) = -s - 1. Let b(i) = 4*k(i) - u(i). Give b(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11194, 44783, 100776, 179173, 279974, 403179, 548788?\nAnswer: 716801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 29 = -4*t - 10, -2*j - 2 = -t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64228*h**3*p**2 + 148*h**3 + 24605123*h**2*p**2 wrt h?\nAnswer: -385368*p**2 + 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -9*s**2 - 29*s - 31. Let y(c) = c**2 + c - 1. Let i(k) = m(k) + 5*y(k). Let i(t) = 0. What is t?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 5*u**3 - 3*u**3 - u**5 + 0*u**5 + 0*u**5 + u**5 + (2*u - 2*u + u)*(4*u**4 + u**4 - 3*u**4).\nAnswer: 2*u**5 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Let l be -3 + 0 + (6 - 2). Let v = 0.2 - 0.2. What is the closest to l in v, u, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -2)*(-2 + 185)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20*n**(1\/18)\/n assuming n is positive.\nAnswer: n**(343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1*1)\/(6\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 78*x - 82*x + 48*l, 220 = 2*x + 3*x + 5*l for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*p - 27. Solve -3*k + p*f + 11 = 5, -4*k + 5 = -f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170485157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.2 - 10. Which is the closest to -7? (a) -2\/3 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 264.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -223?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqhqchqhjq. What is prob of picking 1 c and 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59836738 by 507091.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7983717 to the nearest integer?\nAnswer: 2826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-114)\/(-1425) + (-4)\/50. Solve 3*o + k - 2 = z, -2*o - 5*k - 16 = -0*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. Let x(s) = 3 - 4 - 5*s + 8*s - 2*s. Let h(v) = -v**2 + 4*v - 4. Give y*x(b) - h(b).\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -32. Let b(x) = -x + 9. What is the remainder when z is divided by b(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 630.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 2*c - 2*c - 3*c + 2*c + 2*c + (-2 - 1 + 1)*(c - 3*c + 4*c) + (1 - 2 + 2)*(-6*c + 2 + 5*c + 8*c) in the form z + y*c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28724 - -29003. Sort 5, c, 13 in increasing order.\nAnswer: 5, 13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(1100\/8)*-10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 35 - 5 = 0. Does 8 divide (-4)\/n*(18 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.002825 millennia?\nAnswer: 2.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * 3492555.\nAnswer: -628659.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - z - 4*z = 9, 4*o - 3*z = -1. Which is the closest to -1\/4? (a) 3\/7 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7254499, -7254570, -7254641, -7254712, -7254783, -7254854?\nAnswer: -7254925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73587848?\nAnswer: 2, 29, 317189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-1) + 77679\/3699.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -13\/2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 1)*(2*s + 3*s - 3*s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*h - 1)*(0*h**3 - h**3 + 3*h**3) + 4*h**4 - 2*h**4 + 0*h**4.\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (256 - 53 - 146 + 491)*((-2 + 2 - b)*(-1 - 2 + 4) - 3*b + 2*b + 3*b) as q + u*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 81728 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*c - 60 = -2*k, -58 = -k + 4*c. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -134\/3*x**6 + 0*x**3 + 327 - 113*x**2 + 0*x + 0*x**5 + 0*x**4. What is the second derivative of z(s) wrt s?\nAnswer: -5360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:29 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(98\/7)\/(-7)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose 40 = -h*u + 16. Let g be (u\/9)\/((-1)\/3). Solve -x = g - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 32*m**2 + 442*m - 11771. Give o(30).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 12:10 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2 - -1)\/1. Let x(s) be the first derivative of s**3\/3 + s**2\/2 + s - 4. Is x(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hruc when four letters picked without replacement from {h: 1, k: 3, c: 1, r: 1, u: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 2. Let w be l(0). Suppose -w*i + 3*d = 0, -2*i + 3*d + 16 = 4*d. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-224)\/(-35))\/2)\/(4\/290)*2 is divided by 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/((-18)\/(-316)))\/(16\/(-24))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/518*-70 + 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, -3017?\nAnswer: -3017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 3. Let i(s) = -s**3 + 6*s**2 + s + 8. Let w be i(6). Suppose -m*b - 6 = -w. Solve 3*r = b*v - 4, -6 = 4*r + 2*v + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*p = 16902 - 11358 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-200)\/(-550) + (-1183274)\/11. What is s rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121107 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 9*h + 1268171*f - 1268172*f, -4*f = -3*h - 136 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*r - 3*x = -868*r - 15, -11 = -3*r + x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 4577207 and 1\/10 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7326734?\nAnswer: 2, 29, 126323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231241, 462574, 693907?\nAnswer: 925240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s + 0 + 0. Let j = -14 + 4. Let y(o) = -16*o. Let q(f) = j*k(f) - 3*y(f). Let g(t) = t. Determine g(q(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/96)\/((-17)\/(-68)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 782 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/16 in 0, 0.2, -34, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 156.3 - 163.3. Which is the second biggest value? (a) 1 (b) -2\/27 (c) 0 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4708 (base 14) to base 9.\nAnswer: -17848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tts when three letters picked without replacement from {s: 7, h: 2, t: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57)\/(-152) - (-84)\/288. Factor l*p**2 - 1\/3*p - 1\/3*p**3 + 0.\nAnswer: -p*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/268401 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219676 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265.37 - 190.08. What is i rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 15*c - 6. Let x be q(-6). What is x rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 20*a**2 + 19*a - 32. Let g be z(-21). What is the greatest common divisor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 15. Let w = 337 + -339. Sort w, -1\/8, y, 2 in ascending order.\nAnswer: y, w, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*n + 20, 287*n - 5*i = 290*n - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 40\/3523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*r = 2653*r - 3*k + 72, r - k + 12 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 2*h + h + h + 4. Let i be w(6). Put i, -0.2, -4 in increasing order.\nAnswer: -4, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47.5 + 34.1. Which is the nearest to 2\/7? (a) 0.5 (b) -1\/4 (c) -4\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/671 (b) -4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*h + 48 = 427*h. Let p be -3*((-32)\/(-6))\/(-2). Calculate the remainder when (-9)\/h*-3*p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 5450.\nAnswer: -59\/5450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s - 13*s - 15*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20*6\/(-24) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.6 (b) 0.3 (c) -0.3 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*o**2*u + 3*o*u**3 - o*u + 203*u**3 wrt o.\nAnswer: 68*o*u + 3*u**3 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 1. Let k be (3\/4)\/(2\/(-16)). Let v(m) = m**3 - 6*m - 6. Let f be (112\/(-35))\/(2\/(-5)). Let l be 6\/3 + 2 - (11 - f). Give k*p(a) + l*v(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -2*i + 14*f - 4, -i = -f. Which is the closest to 0? (a) 3 (b) 1 (c) i (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)*2\/(-4). Suppose 5*y + 15 - 40 = q. Suppose 0*f - y = -5*f + 2*r, 5*r - 3 = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/190 and -21\/44308.\nAnswer: 221540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1. Let r(y) = -10*y - 12. What is 12*n(o) + r(o)?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 476, 861, 1400, 2093?\nAnswer: 2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -8, -6 in descending order.\nAnswer: 3, -1, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + 64a36?\nAnswer: 649c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**6\/420 - n**5\/210 + n**4\/21 + 4*n**3\/21 + 41*n**2 - 96*n. Let q(f) be the first derivative of d(f). Factor q(k).\nAnswer: -2*(k - 2)*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75020484.\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -2\/7 (c) 1 (d) 3.67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 21 - 261. Suppose 0 = -2*f - 5*s + 15, -3*f = -f - 2*s - 36. Calculate the greatest common divisor of f and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 111410.3 and -25.608?\nAnswer: 111435.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.724 * 32386.\nAnswer: -120605.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 374 - 157. Let j = l + -221. Which is the nearest to 1\/4? (a) 0.7 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*r - 20*r**2 + 138*r + 1 - 2 in the form d*r**2 + n*r + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - 2)*6. Let l = n - -17. Suppose 0*x = -l*x + 575. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 2*q**2 - 4*q + 5. Let x be j(3). Solve 10 = -x*n + 2*w, 4*n + 0*w + 3*w + 6 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from ssgssogoo?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:37 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -20, -23, -28?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-8)*(c*c\/c**(-1)*c)**(-29))\/((c**(-1\/4))**(-13))**(2\/15) assuming c is positive.\nAnswer: c**(-3253\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-148)\/(-15) - (124\/(-30) + 4) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Suppose 6 = 3*t - l. Solve 2*h - 10 = -4*i, -h + 2*h - t = -i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 19. Let s be 5 - 18\/12*2. Suppose -3*d + 352 = l*g - 44, g - s*d - 117 = 0. List the prime factors of g.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54197254 to the power of 1\/2, to the nearest integer?\nAnswer: 7362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4\/7 (c) -3\/5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 25 = -3*h, 0 = 4*y - 3*y - h - 33. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) - 66\/(-4). Suppose -2*u + f = 2*u. What is the second derivative of 5*y + y**4 - 3*y - 3*y**u wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 5*s - 4. Let a(n) = 5*n + 3. Let k = 16 - 10. Let g(z) = k*f(z) + 5*a(z). Is g(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 - 195*k - 228. Let z be j(29). Let g(v) be the first derivative of 39 + 0*v - 5*v**2 - 5\/3*v**3 + 5\/4*v**z. Suppose g(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1869 and 160200?\nAnswer: 1121400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518707615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0)**29\/(w*w**1)**(-1\/10) assuming w is positive.\nAnswer: w**(146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 4. Let u be w(2). Let o(s) = 15*s - 13. Let i(b) = -8*b + 7. Let d be (-18)\/4*(-8)\/6. Suppose d*a - a + 55 = 0. Give a*i(r) + u*o(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 2:24 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2660*h - 207475. Calculate j(78).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 51*f = -16302. Let h = -1631 - f. Does 42 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 21 = c. What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -2. Let j(f) = 15*f**2 - f - 1. Suppose 5 = -8*k + 3*k. Calculate the remainder when x is divided by j(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 2\/13, -6\/5, -1, 5 in increasing order.\nAnswer: -6\/5, -1, 2\/13, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*k**3 - 5*k - k**2 - 3*k + 44*k**3 - 91*k**3 - 2*k in the form r*k**2 + u + i*k**3 + p*k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*g**5 + 6*g**3 - 307*g**2 + 3 wrt g.\nAnswer: 1440*g**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. What is the third biggest value in -2\/13, -2\/5, z, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 + 6*p + 4. Let w be g(-6). Suppose 3*u - 13 = -w*i + 4*u, 5 = 2*i - u. Let r = -5 + i. Do r and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 372245\/1984656 - 5617\/2768. Let z = x + 2\/239. Let f = -65\/42 - z. Which is the closest to f? (a) -1\/3 (b) 3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1331520 and 14634237?\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.69 - 0.01. Let c = 0.9 + t. What is the biggest value in c, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = r - 1712, -2*s + 4*r - 2521 = 893. Suppose -v + q = -3718, -4*v + 14870 = -5*q + 3*q. Let y = s + v. Round y to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j = 194*j - 1782 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*q**3 + 3*g**2*q**2 + 672*g**2*q - 38*g**2 - g*q**2 - g*q - 11*g + 4*q**3 + 742*q wrt g?\nAnswer: 2*q**3 + 6*q**2 + 1344*q - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 295 = 44 - 113. Solve -4*m + 41*b + 20 = 37*b, 0 = -m - 2*b - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v**2. Let l(y) = 32*y - 11. Let o(a) be the second derivative of a**3 - a**2 - 7*a - 2. Let z(w) = 2*l(w) - 11*o(w). Determine z(r(g)).\nAnswer: -58*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91773.5 - -91773. Let f = 8 - 6. Which is the closest to -47? (a) f (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13852771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4 + 7*k + 2 + 2 - 23*k. Let d be u(-1). Suppose -12 = 6*t - d. Calculate the lowest common multiple of t and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(7\/5))**(-3\/34))**34 assuming h is positive.\nAnswer: h**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -17 - 2*p + 20 + p. Calculate u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220012311 - 31?\nAnswer: -220012342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 2*k - 4*k + 72. What is the highest common divisor of k and 676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*z - 125, 0 = 5*d - 79*z + 76*z - 120. What is the greatest common factor of d and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 73*u**3\/3 - 5*u**2\/2 - 3*u + 25. What is the hundreds digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*u + 16. Suppose u*h - 30 = 10*h. Let k(i) = i**3 - 5*i**2 - 6*i + 11. What is the remainder when k(h) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26058755 (base 9) to base 14\nAnswer: 19b0698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 2*o**4 + o**2 + 0*o**4 + 41529 - 41530 + 6*o**3 in the form p + x*o**2 + k*o**3 + d*o**4 + j*o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 663907700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a factor of 702534544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -83*k. Let c(g) = -329*g**2. Calculate c(d(p)).\nAnswer: -2266481*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/2477315 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-5 - 0 - -71). Suppose -816 = -4*t + 5*g, 3*t + d*g = 65*g + 612. Is 204 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 71, -86, -469, -1084, -1937?\n\"Answer: -k**3 - 107*k**2 + 171*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y + 122 - 22 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.6 less than 4881\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/36 and 161\/23340?\nAnswer: 70020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y. Suppose 3*a + 8 = -a. Let t = 5 + a. Let c(d) = -2*d + d + t*d. What is c(j(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**4\/12 + q**3\/6 + 3*q**2\/2 + 3*q. Let a be i(0). Suppose a*j = 5*j - 36. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-2\/5)*h*h*h)**44\/(h**(2\/3))**(2\/25) assuming h is positive.\nAnswer: h**(17816\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 27\/4*b**4 + 51\/4*b**3 + 27\/4*b**2 - 27\/2*b + 3\/4*b**5 = 0.\nAnswer: -1, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 1\/4, -0.4, -0.1, 1\/5 in descending order.\nAnswer: 122, 1\/4, 1\/5, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 21*c + 2. Calculate the lowest common multiple of j(21) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f - 100. Let o(i) = 13*i - 72. Let k(q) = -3*o(q) + 2*r(q). Calculate k(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2095? (a) 5 (b) 3 (c) 1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let r = -4 + w. Let c = -1 - -1.1. What is the closest to c in r, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4067 is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 471738 less than -0.01?\nAnswer: -471738.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 505530*z - 12778029045.\nAnswer: -5*(z + 50553)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8944*f**2 + 8491*f**2 + 4 - 3.\nAnswer: -453*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)\/f*f**(3\/2)*(f**1\/f)\/f**(-5\/2) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19336, -15511, -11690, -7873, -4060, -251, 3554?\nAnswer: 7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/6 (b) -0.04 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkukyfq. Give prob of sequence yu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 1972*y = 1970*y + 4, 0 = 5*o - y + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/5 + 103*n**2\/5 - 1714*n\/5 + 6608\/5 = 0. What is n?\nAnswer: -118, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -20. Let o be (-23)\/y - ((-10)\/(-14) + -1). What is the nearest to -1\/3 in o, -23, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z + 47 = -217. Which is bigger: z or -122\/17?\nAnswer: -122\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820206 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -38*j - 99. Let t = 1 + 52. What is the remainder when t is divided by g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/3 - (-96 + 86). What is the fourth smallest value in -3, 0.28, p, 0.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -16. Let d = l + -29. Let i = d - -15. What is the closest to 0 in 0.4, -4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -4, -4826, 3, -3\/2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 25*x**2 + 13*x**2 - 14*x + 16*x**3 - 2*x**2 + 38*x + 8*x**2 = 0. Calculate x.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (13 + 15 + -35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let w(b) = -b + 7. Let t(v) = 6*l(v) - w(v). What is t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.8. Let w be 5\/(-4) + 1\/4. Let d be ((-3)\/(-6)*1)\/(-2). What is the nearest to w in -2\/7, x, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 11. Let f(a) = -2*a - 6. Let d(r) = -r - 3. Let j(x) = o*d(x) - 3*f(x). What is the derivative of j(c) wrt c?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*v + 23*v - 99 + 97)*(28 + 21 - 13).\nAnswer: -468*v - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(121) - sqrt(121)) + sqrt(121) - sqrt(121))*3*2*-3)\/(1*sqrt(396)*-3*3).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n*n\/(n\/(n\/(n\/(n**(-6\/17)*n))))*n)*n)\/n)**(-2\/37))**(-5\/17) assuming n is positive.\nAnswer: n**(-280\/10693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167910 divided by -6.\nAnswer: -27985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 65. Let v be (-6)\/4 - (-10)\/4*5. Suppose 2*h = v + 23. Calculate the remainder when a is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -81199, -162396, -243593, -324790, -405987, -487184?\n\"Answer: -81197*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2\/27, -8, -3, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/(-46) - (-17 - (-42832418)\/(-782))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y + 6*y - 13 = 25*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 44\/(-8)*-2. Suppose -y*w + 88 = -9*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p = 25*p - 2*m - 10, -5*m + 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 28 = 9*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167 + -179. Let n(o) = o**2 + 8*o - 43. Let i be n(f). Solve -i = -4*p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let t(j) = 501*j**2 + 121*j - 2. What is t(f(y))?\nAnswer: 2004*y**4 + 242*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25472246 - 0.19.\nAnswer: 25472245.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z - 131. Let l be n(16). Which is the fourth smallest value? (a) 2\/5 (b) l (c) 5 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 1 + -2 + sqrt(539) + -2*sqrt(539) + 0 - (3 + (sqrt(539) - (0 + sqrt(539) - sqrt(539)) - sqrt(539)) + -2*sqrt(539) + -3)) + -5)**2.\nAnswer: -168*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:23 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (700\/65)\/5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*2*sqrt(66) - sqrt(66)) + 4*(2*sqrt(66) + sqrt(66)) + sqrt(66))*1)\/(((sqrt(384) + 3*-1*sqrt(384) - sqrt(384)) + sqrt(384))*-3).\nAnswer: 7*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 8. Let m(r) = -4*r**3 - 2*r**2 + 2*r + 1. Let j be m(2). Let g be (-54)\/(-10) + (-21)\/j. List the prime factors of k(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.5 (c) 88 (d) -2 (e) 13 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l**2 + 13. Let a(g) = g**2. Give t(a(y)).\nAnswer: 19*y**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 33511*m**2 + 10 - 3*m + 2*m + 6*m. Let w be v(-7). Let r = w - 4042014. Round r to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*g + 12 = -9, 4*s + 1 = -g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 26456496?\nAnswer: 26456496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 1195 + 0*y**3 + 1196 + 24*y**3 to the form h*y**2 + s*y + q*y**3 + p and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 56, -1\/35, -2\/5, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 + -7045017?\nAnswer: -7044815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387708275.\nAnswer: 5, 15508331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, i: 2, d: 2, a: 1, x: 1}. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427*w + 16 + 137 = -1410*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 5120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**3 - 48*j - 3*j**3 - 38 + 47*j + 44. Let k(o) = o**3 + 1. Calculate -5*k(l) + t(l).\nAnswer: -l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 3. Let h be ((-50)\/(-15))\/(18\/27). Which is the biggest value? (a) g (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -2)*(2 - 3). Let f be -5*2 + (3 - w). Let a = f + 20. Calculate the greatest common factor of a and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1311 + 1319. Sort 478, -3, g.\nAnswer: -3, g, 478","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 3*f)*(15 + 7 - 49).\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - o**3 - 26 + 58*o - 56*o + 6 as l*o + v + t*o**3 + w*o**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/68 and 83\/75244.\nAnswer: 1279148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -w + 2*b - 1, 4*w - 4*b - 8 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-11)*k**(3\/11) assuming k is positive.\nAnswer: k**(-118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/4? (a) 0.1 (b) 0.15 (c) -11 (d) 0.5 (e) -2 (f) -466\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j**5\/7 - 30*j**4\/7 + 24*j**3\/7 + 92*j**2\/7 - 96*j\/7 + 18\/7 = 0. Calculate j.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + m**2 + 11 + 2*m**2 to the form b*m + k*m**2 + g and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -13.05 (b) 2.9 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1. Suppose w = -5*z + 39, -2*z + 4*w + 28 = z. Suppose -4*f + 2*a - z = 5*a, -f + 3*a = -13. Let o(g) = -2*g - 2. Determine f*o(s) - 3*l(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.2 - 34.8. Which is the smallest value? (a) u (b) -0.2 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35603141 (base 8) in base 5?\nAnswer: -3444103132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/9 - 28*b**2 - 32431*b\/9 - 10726\/3 = 0.\nAnswer: -93, -1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*z + b - 5*b, 4 = 2*z - 5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m, -r + 9*m - 4*m + 13 = 0. Solve y + 3 = b, 2*y + r = -2*y + 2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*o + 8, 0*o + 20 = 3*o - 2*a. Solve 4*k - o*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 14871?\nAnswer: 14851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 7*f**6\/90 + f**5\/40 + 5*f**4\/12 + 4*f**3 - 10. Let u(h) be the third derivative of s(h). Is u(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 36\/10. Let j(x) = 22*x - 105. Let i be j(5). Put -8, a, 0, i in descending order.\nAnswer: i, 0, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 + 4*x + 3. Let w be s(-3). What is the highest common factor of w and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6 and (19 - 20) + 2*(-32)\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -779, -789, -803?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0 - 4) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*-3 - 1. Let f(m) = m**2 - 4*m - 1. Let k be f(2). Let b be (4 - 6)*k\/j. Solve -b*d + 2*d = -9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 17422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385646376 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65702544 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -2. Let t = g - -5. Let x = 111 - 111.5. What is the second biggest value in 0.3, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585023?\nAnswer: 13, 97, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1700) + 1) - ((-4 + sqrt(1377) + 1 - sqrt(1377))**2 - sqrt(1377)).\nAnswer: -11*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8645 - 8640. Put 146, 0, t, 2 in descending order.\nAnswer: 146, t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -61. What is the second derivative of 41*z + 5*z**2 - 7*z**2 - 17*z - 5*z**p wrt z?\nAnswer: -60*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c = 44*c. Solve c = t - 5, -2*b = -3*t + 8*t - 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99933 and -13.04?\nAnswer: -1303126.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -11*g**3\/6 - 20*g. Let r(u) = -2*u. What is m(r(a))?\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 28*o**2 - 4291*o - 88. Suppose 5*t - 2*d - 415 = 0, 0 = -t + d - 2*d + 90. Calculate the remainder when t is divided by p(53).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230562\/86801 + 194\/23673. Let m = 35\/39 - a. Let y = -1993 + 8059\/4. What is the common denominator of y and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 14*u - 35188 = 13*u, -2*u = 8. What are the prime factors of i?\nAnswer: 2, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 + (0 + 8 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.562 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4408 and 5800?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 43422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55028 is divided by 9164.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63*140\/10290)\/(2\/336*-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/14, -0.1, -283\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 37, 49, 65, 85?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18871954 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3486695 + 1586695. What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1715 + -850. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 14*w**2 - 2*w + 18. Let k be x(7). What is the third derivative of -8*n + 4*n**2 + 325*n**3 - 155*n**3 - 165*n**3 + 2*n**k wrt n?\nAnswer: 48*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 + 1. Let p be x(1). Suppose p*m - m = -14. What is the highest common factor of 21 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -22*j - 4428. Calculate the common denominator of -19\/87 and j\/42 + 18\/42.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326894.\nAnswer: 2, 73, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -222 - -52b8c?\nAnswer: 5296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/69930 and -47\/25900.\nAnswer: 699300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10941827, -21883653, -32825479, -43767305?\nAnswer: -54709131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73\/15 + 26\/5. What is the nearest to -1 in k, 3\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jejjjjjejejjjjjjjjej?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 513 - 131 - 133 - 67*a - 132 as m*a + r and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q**3 + 22557*q**2 - 45105*q + 22551 = 0?\nAnswer: 1, 7517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 at most as big as 240042\/1031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 85 and 89789862.\nAnswer: 89789947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/840 and -113\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.958 - -0.142. Let z = u - 4. Put -5\/4, -5, z, 2\/9 in decreasing order.\nAnswer: 2\/9, z, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let m(l) = 14*l**2 - 53. Let w(i) = 27*i**2 - 105. Let d(o) = 11*m(o) - 6*w(o). Let a(h) be the first derivative of d(h). Give j(a(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -280, -665, -486, 929, 4252, 10155, 19310, 32389?\n\"Answer: 112*z**3 - 390*z**2 + z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52835 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-21)*854\/(-488). Sort -2, 46, 0, b, -7.\nAnswer: -7, -2, 0, b, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4914 and 42714?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**2 + 2*m + 2*m**2 - 15*m**2. Let v(d) = -d**3 + 3*d**2 + 5*d - 1. Let q be v(4). What is t(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 - -182. Suppose r - 6 = -3*x, -x + 0*x + 4*r = -2. Find the second derivative of -h**u + 8*h + 5*h**2 - h**x + 6*h**2 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 x when three letters picked without replacement from {c: 6, z: 2, x: 2, v: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 7 - (-1 - 0) - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3296599 divided by 67.\nAnswer: 3296599\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 38348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115122459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let a(b) = 6848697*b + 5. Determine y(a(n)).\nAnswer: -6848697*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 64 = 5*a. Suppose 0 = 6*r - 2*r + a. What is the closest to -5 in -5, r, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - (4 - -2) - (8 - (11 + 20) - -7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 5 - 29) + -316 + 333?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99124, 198175, 297232, 396295, 495364, 594439?\nAnswer: 693520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 8*y + 6. Let a(u) = -9*u + 7. Let m(k) = 4*a(k) - 5*p(k). List the prime factors of m(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**2 - n + 12. Let k(a) = -7*a**2 - a + 6. Let t(c) = 4*j(c) - 7*k(c). Let t(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10065 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6*(-6 + (-32)\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:40 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4 - 690*k**3 + 495*k**2 + 44160*k - 43968 = 0.\nAnswer: -8, 1, 8, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45299731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1327 - 2*b**3 - 184*b**2 + 1338 + 188*b**2 + 2*b - b**3 - 306*b**5 wrt b.\nAnswer: -18360*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*c - 35 = 0, -3*h - c = -7*h + 19. Suppose 100 = 4*i + 4*y, 0 = 2*i + h*y - 6 - 44. Calculate the remainder when 196 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*z - 141 = -t, 4*t + 4*z = 580. Let p be (72\/42)\/(60\/315). Suppose 292 = 2*b - 2*d, -8*b + p*b - 4*d - t = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -946415, -1892826, -2839237, -3785648, -4732059?\nAnswer: -5678470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + -38 + 27 + 2 + (7 - 2) + 0.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Suppose 0 = -m*r - 3*y + 18, -5 = 2*r + 3*r - 2*y. What are the prime factors of 2\/((-4)\/(-26)) - r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073361 is divided by 82566.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.21 - 4.21. What is the closest to 0.1 in -3\/2, -5, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2300 and 532?\nAnswer: 305900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -509, -564, -669, -836, -1077?\n\"Answer: -2*g**3 - 13*g**2 - 2*g - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2199708\nAnswer: 1\/733236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -cd?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10182383 is divided by 496.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + a - 1 = 3, 2*a + 4 = 0. Suppose y**3 + 2*y + 7*y**2 - 11*y**2 + 3*y + k - 5 = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*y, -3*v - 8*y + 4*y = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m + 6. Let w = -11 - -11. Let u be x(w). Suppose c - 15 = u*c, 2*c = -4*t - 22. What is the nearest to 2\/7 in -5, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*f + 83*f - 3125000 = 0. Round f to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13743*g**4 - 3*g**3 - 2*g**2 - 3*g + 3653. Let y(i) = -i**4 - i**3 - i. Let x(s) = -l(s) + 3*y(s). Find the third derivative of x(h) wrt h.\nAnswer: -329904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let d(a) be the third derivative of -a**4\/12 + a**2. Calculate z(d(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*s = 183484 - 188300 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/23, 3\/7, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, -4\/23, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6721.92 rounded to the nearest ten?\nAnswer: -6720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-52))\/((-513)\/(-684))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3235 + 0.2635. Is c at most 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137.11 + 136. Let i = -689 + 685.01. Let n = h + i. What is n rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k**2 + 2*k + 2. Suppose 0*l - 23 = -4*l - 5*x, -5*l = 5*x - 35. Calculate the remainder when g(-2) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcchdhqchccccd. What is prob of sequence dd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19297?\nAnswer: 23, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by 2?\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 59?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -40.187?\nAnswer: -36.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + 0*r - 2*r)*(5*r**2 + 3*r**2 - 15*r**2)*(3 + 3 - 5)*(22*r + 15*r + 23*r)*(0 + 0 + 1) to z*r**4 + t*r**2 + q*r**3 + u*r + i and give z.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 5?\nAnswer: -133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634 divided by -1634.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13202 (base 4) in base 3?\nAnswer: 122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300 (base 6) to base 12.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y - 558692 - 1084708. What is y rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402987.\nAnswer: 3, 13, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411 divided by -77.\nAnswer: -411\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, 87, 39, -29 in ascending order.\nAnswer: -29, 5, 28, 39, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0342*117828.\nAnswer: 4029.7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 8) + (7 + -1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(56)\/sqrt(8)*-4).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -2\/25 (c) 0.071 (d) -0.4 (e) 0.1 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**2 + 213 + 565*r + 23*r**2 - 107 - 9*r**2 - 106.\nAnswer: 2*r**2 + 565*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -25*q + 7. What is the units digit of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -7 - (2 + 0 + -1). Let i = 0.1 + -1.1. What is the nearest to i in s, -3\/4, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/8 + 2925*o**3\/8 - 123039*o**2\/4.\nAnswer: -3*o**2*(o - 882)*(o - 93)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + -6 + 12 + (79 - 61).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -228, -4 in ascending order.\nAnswer: -228, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + 1*3. Suppose p + 1 = -x*p. Let k be (7\/(-2) + 3)\/p. Is 0.1 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1998\/(-444)*2\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 4*j + 1. Let x(z) = 2*z**2 + 3*z + 3. Let l be x(-2). Let y be ((-36)\/(-30))\/(1\/l). What is the units digit of v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11123653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*h**2 - 5 + 5)*(-2 + 1 + 2) as q*h**2 + r*h + u and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310 - 3?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -22221222?\nAnswer: -22221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*a**2 - 3 + 3.\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*q**4 + 0*q**2 - 85*q**4 - q - 355*q**3 + 0*q**2 + 356*q**3 - 332 to the form b*q**2 + u*q**4 + o + t*q + r*q**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -79a1?\nAnswer: -79a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2696*v + 37745. Give u(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -25. Suppose -7*k + 9*k - 62 = l. Suppose 0 = -3*c + 5*a + k, -a + 5 = 6*c - c. Put -5, c, -1, 4 in descending order.\nAnswer: 4, c, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30\/7 in -2\/17, -3, -0.17, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2 + 176*h - 432. Give a(10).\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 26*d**2 - 62*d - 52. What is the tens digit of p(29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 10*h - 16. Let r be s(-7). Suppose -3*w + 3854 = r*b + 1425, -3*b + w = -1463. Let g = b + -238. Round g to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -198*b + 17. Let k(v) = -173*v + 17. Let y(u) = 7*k(u) - 6*o(u). Suppose -w - 2 = 3. What is the tens digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -12*w + 92. Solve w - 20 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2590, 2588, 2586?\n\"Answer: -2*n + 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -60, -99, -140, -183, -228?\n\"Answer: -v**2 - 34*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m = 38*m + 230 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {e: 2, u: 7, t: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(187)*1)\/((sqrt(99) + sqrt(99)*-2 - sqrt(99))\/sqrt(9)))**2*2.\nAnswer: 10*sqrt(17) + 117\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 + 16. Calculate h(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/32701 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*c**3 + 2\/15*c**4 + 2*c**2 - 10\/3*c.\nAnswer: 2*c*(c - 1)*(c + 5)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 27 = -4*i + 3*k, 0 = 5*k + 20. Let h be ((-3)\/2)\/((-6)\/i). Find the second derivative of z**h + 5*z**3 + 18*z - 19*z - z**2 wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 1, x: 18}. What is prob of sequence xbdx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -2.\nAnswer: -2 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10) - sqrt(1210)*-2 - sqrt(10)).\nAnswer: sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -53. Which is the closest to 1? (a) 4 (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + -abb?\nAnswer: -b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.715719\nAnswer: -0.1431438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*h**5 + 0*h**2 - 2\/3*h**3 + 0*h**4 + 1\/3*h + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*r = -9493, 3*g = -r - 44151 + 15656. Let l = -6726 - g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1278 and -0.05.\nAnswer: -0.05639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78729867 and 13311.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + a + 27. Suppose 3*n = 12, -5*n + 0 = -3*o + 79. What is the smallest common multiple of m(-3) and o?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - a + 99, 6*c - 2*a + 483 = c. Let i = -1 - c. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 9*v**2 + 6*v - 11. Let y be b(-8). Solve 0 = -g - 2 + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26915614.\nAnswer: 2, 11, 1223437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.002 - 0.058. Let j = -0.06111 - 0.03889. What is the closest to -0.4 in 0.2, j, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-16)\/(-37760)*-8)\/(-2).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 3, s: 2, d: 6, x: 3, w: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m - m + 0*m)*(0*m**3 - m**3 - 3*m**3) to the form v*m**2 + d*m + x + w*m**3 + i*m**4 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599*z = 596*z - 12, -3*v + 4*z = 26 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 + -72701.\nAnswer: -72700.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2*b - 93. Let f be q(-11). Put 2, f, 3 in increasing order.\nAnswer: 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14416 > -14416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28802\/45 - 640. Let q = -10247579\/37845 + -2\/12615. Let a = 271 + q. What is the third smallest value in a, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**3 - a**4)*(a + a - 6*a) + a**2 + 2*a**5 - a**2.\nAnswer: 6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1378 - -1379. Let r(j) = j**2 - 2*j + 1. Give r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -272752 and -3?\nAnswer: 818256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3068 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 16020.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + u**2 + 1. Let l be j(2). Let c = 53 + l. Calculate the smallest common multiple of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*b + 397 - 27, 4*b = 4*d - 728. Let r be 2\/(-6) + (-4)\/(b\/339). Factor 162\/5*h**2 + 3\/5*h**4 - 324\/5*h + 243\/5 - r*h**3.\nAnswer: 3*(h - 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20086758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a - 123. Let l be u(7). Suppose -l*m + 21*m - 20556 = 0. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 19*s**3 - 3*s**2 + 4*s. Let t be l(1). Put -1, 5, t, -5 in decreasing order.\nAnswer: t, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -511. What are the prime factors of i?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 423477 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and -169\/621150.\nAnswer: 2484600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 369822*m**5 + 3*m - 92885 wrt m.\nAnswer: 7396440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-6) + 2)*(7 + -3). Suppose 0 = -3*h + z + 7. Solve 2*m + h*a + 0 = 3, 3*m + a = 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 253903514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354*f**3*y**4 + 512*f**3 + f**2*y**6 + f**2*y**2 wrt y?\nAnswer: -8496*f**3*y + 120*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 10*y**2 + 3*y - 23. Let j be z(10). Suppose -t = -1, 4*m + 3*t - 4 = j. Sort -1, -5, -4, m.\nAnswer: -5, -4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -215 in 0.4, 1\/2, -20, 2.3, 0.06, -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 4*l, -2*h = 4*l - 5*h + 24. Suppose 0 = -u + 2*u - 58. Let m be u\/(-90) - 5\/(-25). What is the closest to -0.2 in m, l, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 812, 1181, 1550, 1919, 2288, 2657?\n\"Answer: 369*u + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 2*z = 45*p, 2*z = -4*p. Suppose p = -801*j + 798*j + 357. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2024 - -4438. Does 45 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 999*z**3 + 16*z**2 + 4*z + 1160. Let r(h) = 1000*h**3 + 20*h**2 + 5*h + 1161. Let s(t) = 5*p(t) - 4*r(t). Differentiate s(m) with respect to m.\nAnswer: 2985*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -42*m + 19. Let k(r) = 21*r - 10. Let a(c) = -13*k(c) - 6*v(c). What is the tens digit of a(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375416 is divided by 8293?\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 0.11, -1, -50?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2616 > -6314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 12:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c - c)*(0 + 4 - 5)*((2 - 2 + 2*c)*(-2 - 1 + 4) + 19*c + 8*c + 18*c) as v + s*c + o*c**2 and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 1 - 84\/7. Let i = -8 - y. Solve i = m - 0*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86 take away 35?\nAnswer: -33.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -3*u - 198. Solve 2*g = -2*p - 2*g + u, 3*p - 3*g = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2201, 8758, 19623, 34748, 54085?\nAnswer: 77586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 10*j = -30. Let p be j\/(-4) + -3 + (-1)\/2. Let u = -0.33 - -0.03. What is the smallest value in p, 0.2, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -33, -53, -75, -99?\n\"Answer: -g**2 - 15*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378603 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 4*y + 4*s + 47, -4 = 2*s. What is the remainder when y is divided by 1\/(-13 + (-4598)\/(-352))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/3, -6\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-54)*916\/(-1603)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -399*n**4\/2 + 29*n**3 + 3*n + 1229. Find the third derivative of m(q) wrt q.\nAnswer: -4788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16640*y - 3311359. What is v(-199)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87703.02cm to millimeters.\nAnswer: 877030.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 40*a**2 - 9*a**2 - 36*a**2. Let t(x) be the first derivative of -10*x**2 - 12. Give p(t(z)).\nAnswer: -2000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + -5.98.\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(12)\/sqrt(3))\/(sqrt(32)\/sqrt(4)).\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 44*m + 910. Determine s(-40).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/50)\/((-1)\/(0 + -30)). Suppose -6*t = -18 - s. Solve -t*b + 3*n + 5 = -n, 5*b + 3*n + 30 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5*a\/a**(-2))\/(a**(-4\/3)\/(a*a**1*a)))\/(a**(-1\/6)\/(a**4\/a)*a**4\/a*a**(1\/2)) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q + 10. Let a(j) = j + 1. Let y(b) = -5*a(b) + i(b). Let c(n) = 5*n - 25*n + 22*n. Determine y(c(v)).\nAnswer: 24*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-500)\/1*1749\/(-66). Suppose 2*s + 8*s = k. List the prime factors of s.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4117*c + 5 = -4118*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(28\/3))\/1)\/((-660)\/(-1960))?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/15 - 2) + (-31560)\/200. Let n = y - -161. Solve 10 = -3*b + 4*z, 0*b - n*z = -b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 3*g - 6, -w = -4*g - 121 + 122 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 6. Let j be n(5). Suppose 0 = -l + 5*g - 21, -4*g + 4 = l - 5*l. Sort 1, j, l in ascending order.\nAnswer: j, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1) + 19\/(-21). Let k = -249\/7 - -106\/3. Let f = i + k. Is 1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 893*a**2. Let v(l) = -5*l. Determine t(v(z)).\nAnswer: 22325*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/11287?\nAnswer: -1\/11287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1604*i + 243. Determine g(1).\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*q + 57*q**2 - 55*q**2 + 253 + 2*q**3 - 54*q + 243 as t + h*q**2 + k*q + x*q**3 and give t.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4347.9 - 4348. What is the closest to p in 0, -0.4, -2\/223?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -65. Suppose 34*p + o = 32*p. Is 2163 + 3*p\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:01 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 1*459 + (-618 - -624)?\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-477)\/(-159))\/(120\/5).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22254, 53769, 85284, 116799, 148314, 179829?\nAnswer: 211344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 257792, 257775, 257758, 257747, 257748, 257767, 257810, 257883?\n\"Answer: r**3 - 6*r**2 - 6*r + 257803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*m**2 + 314*m**4 - 313*m**4 - 2*m + 3 - 257*m**2 - 107*m**3 to t*m + i*m**3 + h*m**2 + y + u*m**4 and give i.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n**3 + 101077309*n**2 - 101077309*n**2.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 3*n**2 + 6*n - 5. Let f be v(4). Suppose -103*s + 276 + 342 = 0. Suppose -2*b + 4 + 2 = 0. Solve f*g = -b*d - s, -g - 4 = 2*d - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by 10\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 117, 110, 101, 90, 77, 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*v = -3*v + 13, -3*o + 2*v + 43 = 0. Suppose -903 = -233*n + 4922. What is the highest common divisor of n and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**4 + 180*i**3 - 467*i**2 + 437*i - 288. Let n(m) = -m**4 - 60*m**3 + 156*m**2 - 146*m + 99. Let c(v) = 6*h(v) + 17*n(v). Solve c(b) = 0 for b.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -166 - 14 = -30*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 247163 times -11\nAnswer: -2718793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 11. Let g(t) be the second derivative of 3*t**3\/2 + 21*t**2\/2 + 9*t. Let p(q) = -5*g(q) - 9*v(q). Differentiate p(a) wrt a.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066378763 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + u**3 - u**3 + (-193*u**2 + 304 - 304)*(3*u + 5*u - 6*u).\nAnswer: -387*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + 79. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 3*c**2 + 9. What is the smallest common multiple of w(3) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*x + 2951*x + 2624*x + 7148*x.\nAnswer: 12487*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 64*z\/5 - 946\/5.\nAnswer: 2*(z - 11)*(z + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)\/(sqrt(30)\/sqrt(12)))**2.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -2)\/(12\/(-424) + 0). Let w = -1 - x. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*r = -0*b - 30, -3*b - r = -29. Suppose -2*v = -h + b, -v + 0*v + 13 = 3*h. Let w be (-6)\/15*(-10)\/(-34). Sort w, -1, h.\nAnswer: -1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17 + 76 - 19 - 39. Let f(d) = -162 + d + 335 - 172. Let x be (-4)\/6 - 1\/3. Determine x*p(r) + f(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 282? (a) 2 (b) -1 (c) 96 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*t - 86 + 45*t - 14)*(-1 + 2 - 2) as s + m*t and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 150 = -i. Let l = 10 - 6. Suppose 3*h - i = -3*c, l*c - 152 = c - 4*h. What is the highest common divisor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t - 275. Let j(u) = -2*u - 1. Let q(a) = -h(a) - 5*j(a). List the prime factors of q(0).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -16*m**5\/3 - 44*m**4\/3 + 28*m**3\/3 + 44*m**2\/3 - 4*m = 0.\nAnswer: -3, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 204.006578 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533.\nAnswer: 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931)*-1 + sqrt(931) + -4)*3 - (-4 + sqrt(931) + 6*(1*sqrt(931) + sqrt(931))))**2.\nAnswer: 1120*sqrt(19) + 93164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u - u**3 - 4*u**2 - u**4 - 8*u + 4*u**2 - u**2 + 1 as a*u**2 + m + q*u + d*u**4 + l*u**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -40021 (base 11) in base 15?\nAnswer: -1255c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3478*u - 36. Let r(b) = -1740*b + 19. Let s(n) = 5*r(n) + 3*x(n). Is s(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1489 + -1471.62. Let t = 12 - 30. Let q = s + t. What is q rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45852678 - -2?\nAnswer: 45852681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -112?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 325657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 1, -2209\/2, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188101 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(17\/((-119)\/14)). Let t be ((-12334)\/(-21))\/(33\/b + 3). What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/30 + 5*a**4\/8 - a**2. Let n be (-66)\/(-4)*2\/(-3). Is c(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 166008 and 1784586?\nAnswer: 7138344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -18, 3, -1304, -3 in ascending order.\nAnswer: -1304, -18, -3, 3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7798203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 381 = 5*m - 397 + 763, -4*m + 369 = -69*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let m = -41 - -86. Let i be ((-6)\/m)\/((-6)\/(-10)). What is the closest to i in -0.5, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p + 5. Let y be r(1). Solve -8 = 3*t + 7, -t = y*z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13*o**3 - o. Let u = 6 - 5. Let z be t(u). Find j, given that -4*j + 3*j**4 - 10*j - z*j**3 + 3 + 2*j + 18*j**2 + 0*j = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*j - 28. Suppose -40 = x - 3*x. Let r = 32 - x. Calculate the highest common factor of r and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, -48, -3, -110, 6 in increasing order.\nAnswer: -110, -48, -3, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 18. Let m be j(8). Let h = 13 - m. Suppose -6*f = -5*f - t, 0 = h*f + t - 12. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438 - 522 = -110*x + 430*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11877 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 0, 3, 8 in decreasing order.\nAnswer: 12, 8, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3508, 14026, 31554, 56092, 87640, 126198?\n\"Answer: 3505*k**2 + 3*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - (-32 - -43)) + 6 + -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70267*l**3 - 794*l**3 + 2919*l**3 + 8076*l**3.\nAnswer: 80468*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9068405.\nAnswer: 5, 1813681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270 + -266. Suppose -15*c + 19*c + 8 = 0. Sort 0, c, y, -4 in decreasing order.\nAnswer: y, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*h + 65. List the prime factors of (3 + -2)*(-1 + h).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -32.6. What is the second biggest value in -2.2, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - 1.8. Which is bigger: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81221 and 3227.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2 = -y. Calculate the smallest common multiple of y and -3*(-9)\/(27\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*j - 327*j = -3*k + 2, 3*k = -10*j + 79 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2\/13, -1, 0.2, 126478?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31006, 124021, 279038, 496051, 775054, 1116041?\n\"Answer: -t**3 + 31007*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, i: 2}. What is prob of sequence iggg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (4599\/6)\/7. Let p = l - -113. Factor 1\/2*i**2 - 5\/6*i**p + 0 + 1\/3*i.\nAnswer: -i*(i - 1)*(5*i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((169\/26)\/(-13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/40 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 l when three letters picked without replacement from {k: 1, l: 3, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*p = 120*i - 125*i + 2380, -i - 3*p = -105 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-2)\/2 - 107). Suppose g - z = -2*g. Let c be (-1)\/(3 + 86\/(-28)). Calculate the highest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(30*2)*61. Let d = c - 4\/15. Factor -3\/4*f**2 + 0 + d*f.\nAnswer: -3*f*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -8*d**3\/3 + 7*d**2\/2 - 8*d - 3. Let k(z) = -5*z + 2. Determine 7*k(i) - 2*s(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 66263 divided by -773\nAnswer: -66263\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 26*n**2 + 37*n + 38. Give g(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*i = -0*s + 29, i + 35 = 3*s. Let m be 80\/s - 28\/182. Let j(n) = 9*n**2 - 5*n + 1. Is j(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1427*k - 1365 = -972*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from eeereeeeerekeeer.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1507 - -2328. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - -13?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**3\/3 + 4. Let t(n) = -18*n**2 + 64*n**2 - 19*n**2 - 18*n**2. What is v(t(x))?\nAnswer: -162*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 23 - 40)*(5*o - 2*o - 2*o).\nAnswer: -66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16559\/220520 + -1\/11026. Find the common denominator of m and -79\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Suppose 0 = 4*a + x + 14, f*x - 18 = 2*a - 0*x. Let b = 7 + a. Solve -23 = b*h - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*p - 41 = -20, -5*p = 3*b + 13. Let g(m) = m - 5. Let o(c) = 6. Calculate b*g(w) - 5*o(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - 24. Let x = p + 66. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**(-33))\/r)*r)\/(r**(-12)\/r))\/(r\/(r*r*r**42)*r**(1\/22)) assuming r is positive.\nAnswer: r**(549\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -1295, -2051?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 10*t + 11*t - 20*t + 5*t.\nAnswer: 6*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/252)\/(3\/216). Solve -189*g = -193*g - j for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b - 7371 = 87*b - 183*b + 950 for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4\/5 + 17654*o**3\/5 - 7060*o**2 - 70616*o\/5 + 141216\/5 = 0. Calculate o.\nAnswer: -2, 2, 17652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 - 114*d - 6. Let u(z) = z**2 - z + 2. Let c(s) = -n(s) + 5*u(s). Let v be c(-12). Solve -2*f = h + 2*f - 1, v*h + 16 = 4*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1767)\/124*12\/(-9). Suppose -w*a - 42 = -26*a. Solve -5*n + 33 = a*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -3 (c) 15 (d) -1 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 63 (b) 0 (c) -5 (d) 0.5 (e) 0.28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {d: 9, a: 1, l: 1, i: 4, t: 1, q: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**2\/2 - h - 51. Let t(l) = 2*l + 2. Calculate 5*p(d) + 4*t(d).\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 13*q = 17*q - 2, 16 = 5*v + 3*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from gzkggwffggwf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -2102 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*2)**2 + sqrt(51)\/sqrt(27) + -3 - (sqrt(425)*3 + 4 - ((sqrt(425) + -1)*5 - sqrt(425))**2).\nAnswer: -644*sqrt(17)\/3 + 16610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**4\/24 + h**3 + 3*h**2. Let d be x(-8). Is 102 - (-2)\/(0 - d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 39*t - 10. Let u(m) = 4*m**2 + 79*m + 19. What is 5*a(p) + 3*u(p)?\nAnswer: 2*p**2 + 42*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.178 - 24.2. Is -2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 50. Let l be m(-12). Let w(a) = a**2 + 10*a + 12. Let c be w(l). Suppose y + c*y - 2158 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 6*a + (-2*a - a - 2*a)*(-7 + 11 + 8) - 1 + 1 - 3*a.\nAnswer: -69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 132.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bd1 + 81?\nAnswer: 1c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154.978 + 155. Let j = -3.022 + w. Which is smaller: j or -0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**3 - 28*v**3 + 13*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 8*w**6\/15 + 3*w**4\/4 + 7*w. Find the third derivative of h(a) wrt a.\nAnswer: 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -14*k + 13*k. Solve 2*g - 187 + 181 = k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 4 + 2*q)*(-9 - 12 + 8 + (5 - 2 - 1)*(1 - 1 + 2) + 4 - 1 - 4 - 4 - 1 + 1) as f*q + j and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 52 = 60, 2*d + 3 = s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:38 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13615 and 38699665.\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -15*j**3 + 1525*j**2 + 33880*j + 61540 = 0?\nAnswer: -17, -2, 362\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515056 by -4.\nAnswer: -128764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641 is divided by 136?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(2*f**2 - 6*f**2 + 2*f**2) - 2*f**2 - f**2 + 2*f**2 + 13*f**2 - 64*f + 64*f.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:47 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 757622837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339320.\nAnswer: 2, 5, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -21*m**3 - 8*m**2 - m + 1. Let t(u) = -41*u**3 - 15*u**2 - 2*u + 1. Determine -11*p(n) + 6*t(n).\nAnswer: -15*n**3 - 2*n**2 - n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 24. Does 9 divide ((-100)\/u)\/(4\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 1, w: 8, u: 6}. What is prob of sequence uw?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 + 3*w**3\/2 - 85*w**2\/4 + 39*w\/2.\nAnswer: w*(w - 6)*(w - 1)*(w + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -411230 (base 7) in base 14?\nAnswer: -1b787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 5)*(730*c + 0*c**3 + 40*c**3 - 750*c)*(-2*c - c + c) in the form z*c**3 + m*c**2 + y*c + w + a*c**4 and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10808360, -43233429, -97275210, -172933703?\n\"Answer: -10808356*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78505?\nAnswer: 5, 7, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-176)\/(-24) + -1*6. Let d = 1 - 1.4. Put k, d, -2 in decreasing order.\nAnswer: k, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 7*f + f + 3*f - 5*f + (-1 - f + 1)*(2 - 6 + 2) - f - 2 + 2)*(-3*f**3 - 3*f**3 - f**3).\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = 5*p + 30*p. Suppose p = 216*k - 218*k + 1990. Is 60 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 48629605*r**3 + 51234*r**2 + 17078*r. Let f(t) = -8542*t**3 - 9*t**2 - 3*t. Give -17078*f(s) - 3*m(s).\nAnswer: -8539*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-232)\/16 - (-1071)\/(-34).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379342, -758442, -1137522, -1516576, -1895598, -2274582?\nAnswer: -2653522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 136766.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244\/107 or -4941?\nAnswer: -4941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39 - 1*(-8 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 164*n + 525*n - 28*n - 79*n to t*n + w and give t.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + 77\/(-42). Let m = 8 - 4. Suppose -f + a + 2 = 0, f + 3*f + 8 = -m*a. Is f at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242)\/(-242))\/((-63)\/210)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -38. Let a = 31 - -34. Let j = a - d. Calculate the least common multiple of 16 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*f + 91 = 7159, -f + 17659 = 5*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 1 + o - 8*o with respect to o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 41 + 3*p**2 - 10*p - 41 + p**2 + 12*p. Determine u(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by 15.\nAnswer: -64\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/34 in -2\/7, -1, 1, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005146?\nAnswer: 2, 23, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19912487921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 505212*p. Let l(g) = 18*g**2 + 48. Determine z(l(b)).\nAnswer: 9093816*b**2 + 24250176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/1)\/(15\/(-9)) - 1. Suppose -s = 4*s - j + 11, -5 = s - 3*j. Let q = -6 - -3. What is the nearest to q in 5, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Suppose 4*k - 16 = 4*z, -4*z - i*k = -z - 23. Suppose 2*b + z = 13. Solve x = 1 - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000020971251 to seven dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.39, 5, -15 in increasing order.\nAnswer: -15, -3.39, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6 = -3*j, z + 6 = -23*j + 20*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 1. Let p(f) = -3*f**2 + 4*f + 9. Let q(w) = 4*o(w) + p(w). Let d(b) = b**3 + 3*b**2 - 6*b - 4. Let y be d(-4). Give q(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0*p - 2*p)*(-3 + 2 + 3) + p - 2 + 2 + 62*p + 92*p + 247*p.\nAnswer: 404*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/11))**(-14\/9) assuming s is positive.\nAnswer: s**(-14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36\/47, 4, 350\/23, -0.3, -3 in decreasing order.\nAnswer: 350\/23, 4, 36\/47, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.051, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501760 is divided by 315.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 13. Let r be 0\/(-2*g\/(-6)). Suppose r = 4*m - 2*m - 38. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k*k)\/k)**(-34) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:17 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.14*-435.53.\nAnswer: -10513.6942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*o + 25. Let x(b) = 18708*b - 8. Let d be x(o). Round d to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 1. Let t(c) = -26 - 31 - 4*c**3 + 61 - 3*c**2 + 0*c**2. Let o be t(-2). Suppose 6*p + o = -6*p. Give m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 6. Let p be y(-5). What is the tens digit of p + 24 + -1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 2\/7, -0.1, 40, 70, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-22275.\nAnswer: 267300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 45, 166, 395, 768, 1321, 2090?\nAnswer: 3111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1034109 + -3?\nAnswer: 1034106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5400 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/15366222 and -10\/27.\nAnswer: 46098666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*n + 9*n - 9077 + 9074.\nAnswer: 53*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/4))**(1\/6)*(h\/(h*h**(2\/11)*h*h*h))\/(h\/h**(-2\/7)) assuming h is positive.\nAnswer: h**(-8179\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3460 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1322001 by 440667.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - k = 1, g + 12*k - 17 = 8*k. Let j(i) = -12*i**2 - 3*i - 4. Let m(d) = -12*d**2 - 4*d - 5. Calculate g*m(y) + 4*j(y).\nAnswer: -12*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 3*r. Let u = 7167 + -7164. Sort r, 18, u in ascending order.\nAnswer: r, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-24)\/18 - -15)*-8*1\/2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43282, -84546, -125810?\n\"Answer: -41264*m - 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:05 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 74. Suppose -3*t - 5*l + 6 = 0, -4*t = -4*l - l + 27. Let c be (-1)\/(-3)*t\/2. Sort i, 0.5, c in decreasing order.\nAnswer: i, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 5*z - 10. Let x be m(-4). Suppose 2*t - 50 = -42. What is the nearest to 0 in x, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 22\/5)*-5. Suppose -i - y = -375, 4*i - f*y - 2*y = 1484. Suppose 0*x = x - i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfdo when four letters picked without replacement from {f: 1, d: 2, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801033792 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (3 + 17 + (-16 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8794318 greater than or equal to -167092060\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-5 - -2) + -8) - -22\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 31 + 10 + 12 + 8 to the form h + s*u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 18 = 3*o - 2*o, 4*o = -4*w - 12. Let h(j) = -j**2 - 27*j - 18. Let i(z) = -z**2 - 28*z - 18. Let r(x) = o*i(x) + 7*h(x). Is 18 a factor of r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091596640 is divided by 222?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*y - 1046, 2*y = -5*g + 5*y + 2584. Let l = g - 329. Suppose 2*x - 5*n - 40 = 0, -5*x - 43 = -n - l. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7958324?\nAnswer: 2, 11, 180871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6304775\/7 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2101788 - 795626 = -32*h + 6*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 4*k + 2. Suppose 0*i = -5*i + 20. Let g be o(i). Let l be 4\/14*g\/(-4). What is the biggest value in 0.4, l, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 17*g**2 + 4*g + 20. Calculate k(-17).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.46*18\nAnswer: 26.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 11 = -2*r + t, -3*t = r + 3. Let o(s) = -3*s**2 + 24*s - 25*s - 11 + s**3 + s**2. What is o(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let v(o) = 2*o**2 + 12*o + 22. Let w be (-30)\/5 - (-1 - -1). Let s(n) = w*y(n) + v(n). Is 11 a factor of s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h**2 + 9*h - 43*h**2 - 338 - 8*h + 311 as l + i*h + o*h**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*c - 111*c = -3*w + 22, 3*c - 2*w = -26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {u: 7, i: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**7\/105 + q**3 + 2*q**2 - 3. Let v(u) be the second derivative of d(u). Differentiate v(r) wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 40*j**2 + 100*j + 29. Determine m(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645265724?\nAnswer: 2, 181, 891251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37fa3 + 2?\nAnswer: -37fa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 147?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - (-3)\/(-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192480519.\nAnswer: 3, 7, 11, 31, 26879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2988*r - 442*r - 1297*r - 66680 - 13679 = 0 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 64 - 21 = -u, f = -2*u - 17. Let z = f - -20. Suppose -5*t - 5*c + 23 = -7*c, 4*t + 5*c = 25. Solve -4*w = 2*p + 16, t*p = -z*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 0.01 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80334\/293 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*h = 77*h + 115*h + 684 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000981 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 4*c - 1. Let v be j(-3). Solve b + 3*f - v = 0, 0 = b + 4*b - f + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*d + 35*d + 16569. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 55552956\nAnswer: -55552955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15784\/209 or 75?\nAnswer: 15784\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q - 310 = -36*q. 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 smaller: 13404008 or 13404067?\nAnswer: 13404008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*(9 - 273\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * 0.11.\nAnswer: -14.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20 - (22 + 132\/(-60)). Let u = -12\/23 - -1\/46. Which is the closest to -22? (a) -0.2 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**6*w*w)\/w)*w**(2\/5)*w**1*w**15 assuming w is positive.\nAnswer: w**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 2*o - 1. Let n be z(-1). Let l(h) = -h + 64*h**2 + 88 - 62*h**2 - h. What is the tens digit of l(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 - j. Let d be a(-4). Suppose 0*i - 2*i = -d*y + 168, 3*y - 126 = -i. Suppose -5*f + y + 33 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79, -153, -217, -265, -291, -289?\n\"Answer: f**3 - f**2 - 78*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 9*j + 2. Let u be w(0). Suppose -4*n + u*l + 14 = -0*n, 2*n + l = 1. Solve -f + 8 = 2*v + n*v, -3*f + 14 = 2*v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -319244 + 162814333\/510. Find the common denominator of -133\/36 and u.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -17*p - 134. Let i be v(-8). Suppose 0 = 5*o - 5*f - 90, 37*o = 36*o - i*f + 12. Solve 15 = -11*b + o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 14*z**3\/3 - 563. Let y(w) = -33*w. Calculate f(y(p)).\nAnswer: 15246*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:45 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from jjnnj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-44)\/(-24) - 1\/(-6). Suppose 2*j + 2 = -5*k + 7, -2*j = a*k - 2. Suppose j*l = -4*l + 16. Solve 3*n = 2*w, -n - l*w = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -17. Let g be 8\/6 + 50\/r. Calculate the greatest common divisor of 27 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 43*b = -h - 1, 3*b = -5*h - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.145664 to the nearest integer.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82574980?\nAnswer: 2, 5, 4128749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 1, j: 2, g: 1, a: 1, m: 2}. Give prob of sequence uj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -767*c - 413*c - 1000*c + 25 + 398*c. Is 45 a factor of l(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128 in -9, -1\/31, -25, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 14*m**2 + 5*m - 23. What is the units digit of f(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 594\/(-33)*-20*2\/48.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) 129 (c) -5 (d) -1068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/((r*r**(-2))\/r))**(-11\/6) assuming r is positive.\nAnswer: r**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2352 + 2351.999814. Round z to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*q - 4*m - 40, -78 = -2*q - m. Let y = -34 + q. Suppose 7*i + 3*i - 50 = 0. Which is the biggest value? (a) i (b) y (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -87629, -87632, -87637, -87644, -87653?\n\"Answer: -n**2 - 87628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 814*d. Let w(b) = 449*b. Determine a(w(l)).\nAnswer: 365486*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 100, 165, 240?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b + 2. Let l be m(-5). What is the hundreds digit of (-40)\/(-6)*(l\/2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20081 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/9))**(-27\/5)*c**(-14\/11)\/(c*c**(-21)*c))**(-11) assuming c is positive.\nAnswer: c**(-1107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/13 (b) 0.4 (c) 61 (d) 0 (e) -83 (f) -2 (g) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 12*h - 8, -4*h - 14 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -69, -81, -79, -63, -33?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 15*b**2 + 8*b - 303. Give i(13).\nAnswer: 1660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 142. Suppose 0 = m*l + 5*f - 10, 15 = 3*l + 4*f - 2*f. Calculate the remainder when 38 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708292.1 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - (-7 + -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 x when three letters picked without replacement from {u: 3, x: 3, w: 3, o: 1}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.57 + -0.43. Let r = -37.67088 + 0.08088. Let v = u - r. Round v to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -70*r - 705. Calculate s(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t + 4*q = 35, 2*t + 2*q = 16. Let s(z) = 4 + 6*z**3 - 2*z**2 - t - 2*z + 2*z. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 16 = -2*o, 5*n - 34 = o. Which is smaller: 5\/9 or n?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (-2 + sqrt(539) + 2)) + sqrt(539).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 19 + 7 - 19\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let i = -12 + s. List the prime factors of (-3*8)\/(15\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(4 + (-10)\/4). Let k(j) = 63*j**2 - t - 53*j**2 + 9. Let d(n) = -3*n. What is k(d(f))?\nAnswer: 90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-439)\/(-13170))\/(2 - ((-4)\/10 - (-6)\/2)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -636 + 638. Is 2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3198*p**2*s*u + 2*p**2 + 13*p*s*u**2 - p*s*u + 230253*s with respect to u.\nAnswer: 3198*p**2*s + 26*p*s*u - p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose -15 = -y*w + 1. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10287 and 8559?\nAnswer: 3260979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/1)\/((24\/(-138))\/(-2)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 16\/5, -36, 2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 9*x**2 + 23*x - 13. What is d(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31391.\nAnswer: 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*238077\/72*-4. Let g = z + 74502. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r. Suppose -s - 4*q = 4, -2*s - 2*s - 5*q + 6 = 0. Suppose -16 = -4*u + s. Let o(h) = -6*h - 3*h - 3*h + u*h. Calculate g(o(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 113962363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 + (-172)\/(-36). Suppose -3*p = 0, 5*b - 5*p + p - 20 = 0. Let f be (-10)\/10 - (-36)\/2. Solve b*r + f = j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 975154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 20 = -3*n, -5*n = -5*b + 40. Solve -b*x - 5 + 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) + 10\/45. Suppose 27 = 4*i + z, 4*z - 3 = -i - u. Let d(o) = -o**3 + 9*o**2 - 6*o - 3. Is d(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b + 4*q = -4, b = -3*q - 5. Does 8 divide (20 - 5) + 1\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 2\/4*-2. Suppose -3*n = -11 + g. Suppose z + 3*i = -n, -3*z - 2*i + 0 = 2. Solve -3*p + 2*p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -106*h. Let f(v) = v**2 + 209. Determine t(f(a)).\nAnswer: -106*a**2 - 22154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*c**5 + 0*c**3 + 0 + 1\/2*c**4 - 1\/4*c - 1\/2*c**2.\nAnswer: c*(c - 1)*(c + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from ojvoo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 211552\/7*a**2 + 817216\/7 - 1824\/7*a**3 - 824448\/7*a + 4\/7*a**4.\nAnswer: 4*(a - 226)**2*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409753?\nAnswer: 1409753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15332, -15316, -15304, -15296, -15292, -15292, -15296?\nAnswer: -15304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-2 + 14\/(-4)). What is the highest common factor of 99 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429*r**2 - 717*r**2 - 691*r**2.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 52 + -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 + 269. Suppose -1368 = -3*i - 3*i. Suppose w + i = 4*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 3*f**5 - f**5)*(1 + 1 - 3) + 11087*f - 5539*f + 9*f**5 - 5528*f.\nAnswer: 8*f**5 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53923212 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 10*c - 186 = 0. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:17 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -6, -4, -3, 0, -12 in descending order.\nAnswer: 57, 0, -3, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 - -280. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 117*m + 1 + 1 - 107*m + m**2. Let s be a(-10). Let x(i) = i**2 + 6*i + 1. Let q be x(-6). Is s bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.270571101 rounded to five dps?\nAnswer: 0.27057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 235761 and 6.\nAnswer: 471522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b + z - 11, -2*z + 14 = 4*b. Let u = 257\/6 - 127\/3. What is w in 0 + 5\/6*w**b + u*w**3 - 1\/3*w = 0?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, -2\/15, -151, -3129?\nAnswer: -3129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 42 - 28. Let z(m) = 3*m**3 - 3*m**2 + 5*m - 6. Let d be z(r). Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 3 (b) 8\/7 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7476720 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 + 0*t**3 - t**3 + (-5*t**2 + 3*t**2 - 2*t**2)*(0*t + t + t) - 22173*t + 157*t**3 + 22173*t as w*t**2 + v*t**3 + o*t + r and give v.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 - 46863*l**3 + 245679381*l**2 - 440796387885*l + 44799031328364 = 0. What is l?\nAnswer: 108, 5171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1176449*o + 83 + 1176445*o + 1780 to h + j*o and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -311 + 293 - (1 - 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, 17\/2, 2, 0.0419?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 71, -221.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.66.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/12)\/((-131)\/(13755\/252)*(-3)\/(-48))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c59b (base 15) in base 4?\nAnswer: 1200231302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3891669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3671.2 - 3671. Which is the second biggest value? (a) 1\/3 (b) n (c) 7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*j**2*n**3 - 46*j**2 - 605*j*n**4 - 5243*j wrt n?\nAnswer: 72*j**2*n**2 - 2420*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -16. Let w(b) = 67*b - 1. Is w(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*x + 995 = -798, r = -3*x + 446. Suppose 546 + r = 5*o. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 6611 = -33*k + 1678129. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22839546 minus -5.5842?\nAnswer: 22839551.5842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-5))\/((-2)\/(-5)). Let s(d) = -2*d**3 - 3. Let o be s(y). Let w be 0 + (1 - o\/(-51)). What is the closest to 1 in -0.3, 1\/10, w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1343245 (base 9) to base 11\nAnswer: 463982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -5*g + 2*g - 5*c, -4*g + 524 = -4*c. Let d be 25\/6 + 2\/(-12). Suppose 0*k = d*k - 72. Calculate the greatest common factor of g and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:26 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o**3\/7 - 29682*o**2\/7 + 293536*o\/7 + 5038776\/7 = 0 for o.\nAnswer: -2978, -9, 94\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/733 + 102667\/21990. Suppose 4*o = -s - 575, -o = -3*s + 132 + 15. What is the common denominator of g and (-2)\/(-5)*850\/o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 2, r: 2}. Give prob of sequence qcr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = -34. Calculate the highest common factor of 112 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/663)\/(6\/(-1734))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231 greater than or equal to 5231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 2 = -10*i. Suppose -c + 3*p - 2*p + 30 = 0, 5*c = 4*p + 153. Let g be -3 + i\/9*c. What is the fourth biggest value in 4, g, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/15)\/c**(-2\/93)*c**(-11)*c*c**33*c assuming c is positive.\nAnswer: c**(3744\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**2 - 2315*f + 6990 = 0.\nAnswer: -466, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 2, k: 6, z: 2}. Give prob of sequence zeq.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.7347 days in microseconds?\nAnswer: 55618678080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 522*q - 37563*q**4 + 312*q + 37175*q**4 + q**3 wrt q?\nAnswer: -4656*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3357696 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 31*q**2 - 59*q + 33. Give h(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -90*v + 1. Let n(s) = -97*s + 2. What is 4*n(f) - 5*w(f)?\nAnswer: 62*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*m + 12, -3 = -2*l + 6*l - 5*m. Suppose -u + l = 4*s, 3*u - 1 = -5*s + 1. List the prime factors of 4\/4*s*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*1\/(-3) - (170 - 177).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - c - 1. Let d be l(2). Let r(j) = -j**3 + 6*j**2 + 3*j - 4. Let v be r(d). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-3 - 3)*2. Let p(a) be the third derivative of 7*a**5\/120 - a**4\/24 - a**3 - 6*a**2. Let x(d) be the first derivative of p(d). Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 2*y - 20 = 0. Let q be (0 - 5\/40)*0. Which is the closest to -4? (a) -0.05 (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2*u)*(1 - 1 + 1) + (-3 - 3 + 5)*(-u + 1 - 1))*(5 - 7 - 4).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 764*m**4 + 20691*m + 152348581 wrt m.\nAnswer: 3056*m**3 + 20691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -5)*-6.\nAnswer: -18*sqrt(17) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/6426 and -127\/1197378.\nAnswer: 3592134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206 a factor of 429584764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24409 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 + a**4\/2 + 5*a**3\/3 - 8*a**2 + 36*a - 3. What is the remainder when l(5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 2*z - 4*z)*(538 - 538 + 576*z) + 4*z**2 - 2*z**2 - z**2 as j + y*z + d*z**2 and give d.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 - 25*d**2 + 22*d + 25. Calculate t(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = 0. Factor t*l + 4*l**3 - 6*l + 2*l - 4*l**4 + 4*l**2.\nAnswer: -4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 2*i**2 + 33*i - 1. Let d be h(7). Is d greater than -201\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 16) + -6 - (-2 - 6) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10324 and 4251441.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*a**4 - 27970*a**2 + 130591033.\nAnswer: 748*a**3 - 55940*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k - 2. Let n(h) = -3*h + 1. Give -3*n(g) + w(g).\nAnswer: -31*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -691080.436 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.633 * 9\nAnswer: -5.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14)*(-91)\/52?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (-9)\/(-3))*(3 - 2). Suppose m*a = -a + 720. Is a a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 10:14 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202212 (base 3) to base 9.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*w = -280*w + 2*r + 32, 0 = 50*w - 4*r + 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1\/4 (c) -3 (d) -40\/21 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1142252*u**3 + 687*u**2 + 687*u. Let q(m) = 6641*m**3 + 4*m**2 + 4*m. Determine 4*j(n) - 687*q(n).\nAnswer: 6641*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47389, -95039, -142689, -190339, -237989?\nAnswer: -285639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/7 - 51872*s**2\/7 + 1968322*s\/7 - 1916452\/7 = 0.\nAnswer: 1, 37, 25898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4294*0.0631\nAnswer: -0.02709514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3450 and 2070?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 7*z**2 - 19. Give n(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzppzz. Give prob of sequence pp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4 - 2*l**3 + l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:12 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276961888*u**3 - 135882*u**2 - 10*u + 25.\nAnswer: -1661771328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -34 (b) -3 (c) 8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451162 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11697 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3065552.\nAnswer: 2, 7, 101, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -345.\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1049669994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = k - 37 + 2, -2*k = 8. What is the remainder when 76 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 130\/(-15) - (6 - 13). Which is the smallest value? (a) 0.5 (b) s (c) 0.07 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 3*n + 1. Let p be y(-2). Suppose 3*b = b + 36. Suppose -4*v - 8 + 31 = 5*u, 3*v + 4*u = b. Solve 0 = -v*t - p*o, 7 = 5*t - 3*o + 7*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 21*i - 37 - 210 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 + 4 + 2*b**2 + 3*b**3 - 12*b + 6*b. Let t(w) = -4*w**3 - w**2 + 6*w - 4. Let j(i) = 5*m(i) + 4*t(i). Is 13 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + 7 + -14 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637257862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.117 - 0.883. Which is the nearest to 1\/5? (a) -0.8 (b) o (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/6 - -1)*-2. Let n(t) be the first derivative of 1\/2*t**2 + 0*t + 0*t**3 + 0*t**4 - a - 2\/5*t**5. Find the second derivative of n(m) wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.408884 rounded to two decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m = m - 4*m - 144 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.3419 millilitres?\nAnswer: 0.0343419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**5 + 4*o**4 + 1738*o**3 - 1740*o**2 = 0.\nAnswer: -29, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61195 (base 11) to base 15\nAnswer: -1b752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*t + 1163*t = 2*p + 56, -5*p = -t + 164 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818212841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1610056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92\/3513 + -52065\/53866. Find the common denominator of 89\/24 and n.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqd when three letters picked without replacement from dbbqbqbddbsddqbdb?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0799294t?\nAnswer: 79.9294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.56111 in 0.1, -2\/3, -1\/5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257\/18 - 115\/9. Which is the second smallest value? (a) -543 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q - 1542 + 1553 + 7*q + 2*q. Let k(r) = -r**2. Determine x(k(u)).\nAnswer: -u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 993787?\nAnswer: -2\/993787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 + 2*z**2 + 12*z - 13. Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*r - 6 - 34 = 0, -4*r + 24 = -5*t. Let h be 2\/(-8) + (-34)\/t. Suppose f + 6 - 1 = 0, 4*z - 5*f = 29. Solve -h*q + 1 + 2 = 5*v, q - z = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - 175\/(-15). Let p = -3 + n. Suppose 5*i - 213 + 38 = 0. What is the remainder when i is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.9 + -49.9. Let h = -9830\/9 - -1092. Put h, -4, p in descending order.\nAnswer: h, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52792155 to the power of 1\/4, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y**2 + 18*y - 57. Let z(u) = 5*u**2 - 7*u + 19. Determine -3*x(c) - 8*z(c).\nAnswer: -c**2 + 2*c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 184. Let n = q + 22. Solve 0 = -2*o - c - 3, -3*o - 5*c - n + 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 468*p**2 - 19152*p + 69312 = 0. Calculate p.\nAnswer: 4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3751 = 67*l - 16146. Calculate the remainder when l is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9108926 is divided by 140137?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnkonmmnonk. What is prob of picking 2 o and 2 m?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1991223 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 102, 92, 78, 60?\n\"Answer: -2*b**2 + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*z**4 + 3901*d**3*z**2 + d**3 + 41*d**2*z - 64*d*z - z wrt z.\nAnswer: -12*d**3*z**2 + 7802*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 2*l. Let s be ((-628)\/(-471))\/(8\/6). Suppose -5 = -4*z + 31. Sort z, 4, s, l.\nAnswer: l, s, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -7. Suppose -87 = -k*j - 19. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-5 + 1) + 7. Let p(r) be the third derivative of 2\/27*r**3 + 0*r - g*r**2 + 0 + 8\/135*r**5 - 7\/540*r**6 - 11\/108*r**4. Factor p(f).\nAnswer: -2*(f - 1)**2*(7*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose z = 4*y - 5*w + 7, -2*y = 2*w - 14 + 4. Calculate the smallest common multiple of y\/(-2)*3\/(-3) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 + (-20)\/(-2) - (-19)\/3*1. Let u = -9.1 - -6.1. Let w = -41\/6 + 15\/2. Which is the closest to w? (a) u (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 0, -o = -5*o - w + 9. What is the tens digit of o - (-14)\/(4 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-633 + 320 + 330)*(4*i - 2*i + 0*i) + i + i - i + (2*i + 25*i - i)*(3 + 1 - 3) - i + 0 + 0 to the form z*i + h and give z.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 + -5. Let n = -590 + 5901\/10. What is the fourth biggest value in j, 5, 2, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**7\/14 + 39*q**5\/20 + 193*q**4\/4 - q**2 - 1040*q. Find the third derivative of m(i) wrt i.\nAnswer: -180*i**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/3220*-702 - 15.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-20) + (-236)\/10. Let j be -3*((-18)\/u - (-14)\/(-8)). Suppose -67 = -3*n + l + 4, -3*n + 51 = j*l. What is the highest common divisor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4\/5 + 214*t**3\/5 - 11223*t**2\/5 + 113616*t\/5 + 447552\/5 = 0. What is t?\nAnswer: -259, -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuwwwweewwwu. What is prob of sequence wue?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) + 1*sqrt(1872) + sqrt(1872))*4.\nAnswer: -3 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -482 (c) -13 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 19504380*f + 31701736598700.\nAnswer: 3*(f - 3250730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 48 - 51 = 0. Let l = -6.3 + 7. Let r = -0.4 + l. Sort r, -2, s.\nAnswer: s, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183519340057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/174 (b) -0.5 (c) -2\/7 (d) -8 (e) 2 (f) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22019, 38601, 55179, 71753, 88323?\nAnswer: 104889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-62)*2\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274280598 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + x**3 - 2*x + (-3 + 1 + 1)*(2*x**3 - 3*x**3 - x**3) + 4*x**3 + 3*x**3 - 5*x**3 - 4*x**2 + 4*x**2 - x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-30))\/(56\/21 + -4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(40)\/sqrt(4)*4) - -1*(sqrt(891) + 2).\nAnswer: 2 + 37*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91.167 - 0.167. Let c = -90.9999942 + q. What is c rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 24*v - 11. Let l be r(6). Sort -0.1, l, -0.5, 2\/9 in decreasing order.\nAnswer: 2\/9, -0.1, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72694*n + 26 + 47312*n - 26.\nAnswer: 120006*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 21. Suppose 5*b = -c - 0. Let p(i) = -i**2 - 2*i + 3. Let y be p(-4). Sort y, b, -1 in descending order.\nAnswer: -1, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/(0 + -1). Let b be 2*k - (-8)\/1. Let a(p) = -p**3 + 7*p**2 - 6*p + 8. Give a(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 - 3 = -2*t + 6*j, -j = 591*t - 590*t + 51 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -35 (b) -2\/9 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -49307.32?\nAnswer: 49307.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.8 * -13010.\nAnswer: 530808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/7*388\/(-8). Let l = 9949\/56 - r. Find the common denominator of -37\/6 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 - 4*k + 2. Let b(i) = -2*i**2 - 3*i + 2. Calculate 4*b(l) - 3*s(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/504 + ((-936)\/(-3120))\/(12\/(-10))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjz when three letters picked without replacement from {m: 11, z: 1, j: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251931 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liufiklg. Give prob of picking 1 g and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21065795 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6030684.\nAnswer: 2, 3, 11, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141321 + 4352?\nAnswer: 146003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -17*q**3 + 1561*q - 1561*q + q**2. Determine n(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45588.41 kilometers in meters?\nAnswer: 45588410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16277 is divided by 183.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 727*r + 1444. What is the thousands digit of w(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.83277l to millilitres.\nAnswer: 57832.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+-627\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 227. Let y = 3238 - o. Let d = -1141 + y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76376, 305635, 687734, 1222673, 1910452, 2751071?\n\"Answer: 76420*m**2 - m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:04 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:48 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (26253\/17502)\/((-2)\/76*3)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 6*s**2 - 165227*s**3 - 165231*s**3 + 330466*s**3 - 10)*(2*s + s - 5*s) + s**4 - 3*s**4 + 0*s**4 to h*s**4 + d*s + i*s**2 + a*s**3 + u and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 21*y**2 - 9*y - 9. Let d(q) = -11*q**2 + 5*q + 5. Suppose 0 = -5*h - 4*g - 29, -6*h + 2*h - 19 = -g. What is h*u(r) - 9*d(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 1396644*n - 19553408.\nAnswer: 2*(n - 698336)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-78)\/260)\/((-21)\/350). Solve c*j + 18 = -3*n, 0 = 88*j - 85*j + 4*n + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9434 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162186576 a multiple of 2942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 203713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 + 4 - 6 + 42*f**3.\nAnswer: 42*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1298, 111, -2\/25, 0.3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77612761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**2 - 140*y**2 - y - 171*y**2 + 36*y**2.\nAnswer: -257*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -534 - -540. Suppose 5*x = y + 4. Let q(r) = 7*r - 3. What is q(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (919*z**3 - 5378*z**2 + 5378*z**2)*(z**2 + z - z).\nAnswer: 919*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9504154*u**5 - 7280819*u?\nAnswer: -190083080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189 + 89. Let o = 97 + c. Let m(t) = 0*t + 0*t - t + 2*t**2. Let f(i) = 2*i**2. Calculate o*f(p) + 2*m(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1882467960 and 3860.\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/15622 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 20*d - 4129. Calculate v(207).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10901?\nAnswer: 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87141 is divided by 1452.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, -6\/13, -90, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 0*a)*(0*a + 6*a - 2*a)*(1 + 1 + 1 + 0 - 2 + 3 + (2 + 1 - 5)*(0 + 0 + 1)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13 and -240238732.188?\nAnswer: 240238745.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((1 + 1)\/8). Suppose m*z - 7*z + 102 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 16. Let r(i) = -i**3 + 6*i**2 + 6. Let u be r(w). Let j be (-4)\/(-6) - (-25)\/3. Calculate the highest common factor of u and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7355 - -7367. What is the remainder when 1002 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.7861 centuries in years?\nAnswer: 37578.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 538266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1445 + 5.09286?\nAnswer: -1439.90714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaiaiiciiaa. Give prob of picking 1 c and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 856 = o. Suppose 1318 = 2*a + o. Let l = 212 - a. Round l to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -680*g*o + 3727*g + 8*o**3 - 11 wrt o?\nAnswer: -680*g + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 18 = 3*k, 2*k - 146 + 144 = -5*u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35361088 - -9261088. Round p to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1.3 (b) 6541 (c) -0.4 (d) 2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + 3 + 1 - (-3 + -2*sqrt(17))*4)**2 + 0.\nAnswer: 320*sqrt(17) + 1956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/17 (b) 5\/4 (c) 0 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182370 + -182326. What is the least common multiple of u and 2\/(-8) + (-178)\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 347*l + 4339. What is d(12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - h - 207 = 0, 6 = f + 3*h - 45. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80809387441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 8:56 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 47.2 (b) 3 (c) -7.7 (d) 0.7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/15 - (49\/35 - 2). Solve k = -u + 5 - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31.68 in 1\/13, 3\/7, 38?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-148420)\/(-6) - 7\/(-84)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 87787618.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 18. Let k be (n + -4 + 1 + 0)*-1. Let s(u) = u**3 - 8*u**2 - u + 10. Let x be s(8). Sort 1, -2, x, k.\nAnswer: -2, k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 8. Let i be o(-7). Let h be (-10)\/i*(-3)\/(-2). What is the closest to 0.1 in -5, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 2468 + 1186. Let j = p + -394. What is the highest common factor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(196)*3 - sqrt(539)\/(sqrt(44)\/sqrt(4)))*-6)\/((sqrt(126)\/sqrt(3)*-5)\/sqrt(6)*-3).\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/33 + -12 + 1608\/132\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 40 + 6 = 4*n, 25 = -5*n. Let s(r) = r**3 + 7*r**2 + 3. Let f be s(c). Suppose u - f*w - 272 = -u, 3*w - 145 = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b - 2351. Let t be j(89). Is t bigger than -1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6231638*o**6 - 5069164*o**2?\nAnswer: 747796560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17 + 14 - 64 - 7*f - 1. What is d(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -2\/3 (c) -0.5 (d) 0.1 (e) 2906.312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {y: 3, d: 17}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 6*y**2 + 2. Let h(p) = p**2 + p. Calculate a(s) + 6*h(s).\nAnswer: -2*s**3 + 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1000110111121012?\nAnswer: 1000110111121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 596616?\nAnswer: 596616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27811.\nAnswer: 7, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 - -80. Suppose -i = -4*x + 55605, -27820 = -0*x - s*x + 4*i. What is x rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**3. Let n = -19 + 20. Give t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21\/50 - -2\/25. Let f be ((-13)\/(-39))\/(26\/(-12) + 0). Let u = -49\/65 - f. What is the third smallest value in u, i, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-18 - (-1 + 14)) - -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 30*g - 164*g + 1218000. What is the smallest common multiple of g and 15?\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nku when three letters picked without replacement from unuuukoo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - x + 2)*((-x - x + 0*x)*(-x**2 + 0 + 0) + 48*x**3 - 81*x**3 - 57*x**3) to j*x**2 + r*x + c*x**3 + m*x**4 + w and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*x**4 + 5)*((2*x + 1 - 1)*(-2 - 3 + 4) - 4*x + 5*x - 2*x - 2*x + 0*x + 0*x).\nAnswer: 25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyyywyywwxowywwywwxw. Give prob of sequence xow.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 + (0 - (-1 - 1)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - 4) + -1 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4788*d**3 - 7*d**4 + 4788*d**3 - d**4 - d**4 + 4*d**4 + (0*d - 4*d + d)*(3*d**3 - 2*d**3 + 0*d**3).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.55 - 66.55. Let c = -64.902 - t. What is c rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*s - 59*s + 130*s + 139*s - 22484 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/6*1323\/(-42). Suppose -86*r = -q*r - 1434. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + k**3 + k**3 - 7*k**3 + 24*k**3 - 6*k**3 + (0*k - 2*k + 0*k)*(3*k**2 - 2*k**2 - 2*k**2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/8*(-5400)\/450?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**4 + 795 - 2*h**4 + 4*h**2 + 0*h**5 - 851 + 4*h**5 wrt h.\nAnswer: 240*h**2 + 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521.4947m to centimeters.\nAnswer: 52149.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 866363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315663052 (base 7) to base 9.\nAnswer: -38367554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -2. Let h be 2\/(-6)*(5 + 117\/(-18)). Which is the second biggest value? (a) h (b) -8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - -16. Suppose 3*y + b = -422, -3*y = -b + 414 + 16. Let d = 172 + y. Calculate the least common multiple of d and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w. Let z = -1277 - -1279. Suppose w = -z*k + 7*k - 75. Solve 0 = 3*r - q - 4*q - k, -r = 2*q - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5, -3*a + 2*q = 5*q. Let g(o) = 32*o**2 - 3*o + 4. What are the prime factors of g(a)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(21)*2)\/sqrt(3) + 2 - (sqrt(252)*1 - (3 + sqrt(847))))**2.\nAnswer: 28*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -2, -0.01, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/30 + 2*p**3\/15 - p**2\/5 + 3*p - 2. Let r(o) be the first derivative of k(o). Solve r(x) = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 39*q**2 - 2*q + 1. Suppose 0 = -4*y + 3 + 1. Suppose -4*k = -r - 7, -y = -3*k - 3*r - 7. Does 19 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let g(p) = 8*p**2 + 7*p. Let c(m) = 23*m**2 + 20*m. Let j(s) = 6*c(s) - 17*g(s). Determine 3*j(d) + 4*x(d).\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7355*j + 119*j**3 - 7355*j.\nAnswer: 119*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.85 + 0.15. Let t = -4.8 + -1.2. Let q = 1 + t. Put -3\/8, q, x in decreasing order.\nAnswer: x, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33.528 and 2.16.\nAnswer: 72.42048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49764 divided by -2.\nAnswer: -24882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*f - 1723776 = 175539. Which is greater: f or 3839?\nAnswer: 3839","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 24 = -4*c, -i + 3 = -3*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 16*v**2 + 63266*v. Let r(h) = 2*h. Give g(r(k)).\nAnswer: 64*k**2 + 126532*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 9*r**4\/2 - 57*r**3\/2 + 99*r**2\/2 - 63*r\/2 + 6 = 0.\nAnswer: 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14 + 0 = -4*y, -2*z = 2*y - 4. Let l(i) = 3 - 9 + 1 + 17 + i - 5. Let k be l(z). Are k and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.7 - 11. Suppose 2*x = -3*o - 70, 3*o - 2*x + 40 = o. What is the second biggest value in -2, v, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3076 or -3074?\nAnswer: -3076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 144. Let l = b - -6. Let s = -61 + l. What is the closest to s in 0, -0.4, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + c**2. Suppose 41*u + 3*y = 38*u - 9, y + 27 = -5*u. Let i(t) = 2*t + 8*t**2 - 3*t**3 - 2*t**2 - 2*t**3. Calculate u*m(x) + i(x).\nAnswer: x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84788111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Suppose 2*m + s = 3*s + 40, m + u*s = 20. Let p be (7 + 1\/(-6)*2)*24. What is the highest common divisor of m and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 256*g + 44 = 261*g, -5*l + 92 = -g. Solve -x = 4*y + 15, -5*x = -16*y + l*y + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 10*m**2 + m + 19. Let j be h(10). Let y = j - 30. Is 1\/9 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - 1.5. Let g = 77 + -75. Put g, 0.2, n in decreasing order.\nAnswer: g, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18352)\/(-60) + 2\/15. What is the greatest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vna when three letters picked without replacement from vcvavncavccvvavnvcv.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(200) + -3 + sqrt(200) - sqrt(200))**2)*-4.\nAnswer: -844 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47896763 by -6.\nAnswer: -47896763\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*u + 187*u - 533*u = -196*u + 1798 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-60)\/68) - 34\/85.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5*j + j)*(0 + 0 + 2) + 2*j - 5*j + 4*j + 2*j - 2*j + j - 56*j - 2 + 107*j + 1.\nAnswer: 49*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265910949 = 2*m - 2*h + 5*h, 0 = 2*m - 5*h - 265910941. Suppose 15825473 - m = -13*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 1. Let m be ((-15)\/(-21))\/((-5)\/(-35)). Let p be (0\/3)\/(10\/m). Calculate u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 - 498544869559\nAnswer: -498544869299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20500613*x**3 - 27294574*x.\nAnswer: -123003678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026521 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.798746 millennia to years.\nAnswer: 4798.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5184.669 * 119\nAnswer: 616975.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103)\/(-4532)*48*3\/9*-5?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*u - 6, -4*u - 2 = -3*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s, 2*s - 5 - 37 = -4*l. Suppose -3*y - 4*f + 39 = l, y - 12 = -4*f. Suppose y*o = 3*o + 425. What are the prime factors of o?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2496, -5014, -7550, -10110, -12700, -15326, -17994, -20710?\n\"Answer: -m**3 - 3*m**2 - 2502*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55, 20, -37, -116, -217, -340?\n\"Answer: -11*s**2 - 2*s + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -28*v**2 - 53*v - 29. Give l(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*t**2 - 393*t**2 + 125*t**2 + 133*t**2 - 14*t**3 + 17 - 17.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210781?\nAnswer: 41, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -15, -5, 6, -1 in increasing order.\nAnswer: -15, -5, -4, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 13, 0.4, -2\/97, 0?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9603)\/252 + 11 + 567\/5292.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -2*b - 0*s, -s = 2. Let h = 1\/10 - 4\/15. What is the closest to b in 0.1, h, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -369. Sort -3, w, -50, 5 in increasing order.\nAnswer: -50, w, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 733026139 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-8)\/(-2))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 8 = 2*q, -4*q + 5*s - 7 + 11 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, x: 4}. What is prob of sequence xd?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h\/h**(-6))*h)\/h**(1\/12))\/(h*h**0)**(-21))**(-35))**(-15\/2) assuming h is positive.\nAnswer: h**(35525\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 214 - -1?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*x + 0*x + 113*x + 69*x in the form v*x + h and give v.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Suppose -211*s + 27 = 238. Let c(t) be the second derivative of t**4\/2 + 2*t**3 + t. What is s*c(k) - 12*p(k)?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/2 > 231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/704 and -63\/10.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hppppkhhkp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 8*o**2 - 17*o - 6. Let k be y(-5). Suppose -3510 = -5*d + 3*u + 442, k*d - 2*u - 3160 = 0. What are the prime factors of d?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 4. Let c(t) = -6*t**2 + 20*t - 10. Let p(y) = -3*y**2 + 12*y - 6. Let o(z) = 3*c(z) - 5*p(z). Calculate o(x(d)).\nAnswer: -27*d**2 - 72*d - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 136 = -4*j + 64 + 9, 0 = 5*a + 15 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -1\/6 (b) 1\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 + 24*l**4 - 8*l**3 - 144*l**2 + 108*l + 216 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50777 (base 10) in base 16?\nAnswer: c659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + k + 54. Let i(v) = 90*v + 630. Let t be i(-7). Give x(t).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**6\/40 - j**5\/60 + j**3\/6 - 3*j**2. Let o be z(-1). Suppose 7 = x - 5*c, -x - 6*c + c = o. Solve -x*t - t - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413910 <= 2413644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.354 and -1.22.\nAnswer: -0.43188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 112*c + 1 - 110*c + 8. What is the hundreds digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -97433066 to the nearest 10000.\nAnswer: -97430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2143592 times 29\nAnswer: -62164168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66211604 (base 7) to base 8.\nAnswer: 25535140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -89945, 4, 1 in ascending order.\nAnswer: -89945, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 + -104.05. Let p = k - -6.050367. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 + m - 5. Let r(f) = -3*f - 16. Let o be r(-6). Suppose o*c - 78 = 5*c. Let s = 22 + c. What is p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -150. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -3*d + 2*d. Let k = d + -6683\/17. Sort 1, k, 1\/5 in decreasing order.\nAnswer: 1, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/5*20\/(-25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1206 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*q + 7*q + 181*q**3 - 34*q to u*q**3 + r*q**2 + s + f*q and give u.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2708771355 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -48*q**2 - 1. Let r(o) = -2028372*o. Calculate c(r(w)).\nAnswer: -197486062578432*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 603 + 244a56?\nAnswer: 245559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:06 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203540558.\nAnswer: 2, 13, 17, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*q - 213*q = -888 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6*m = -4. Suppose 2*w = 4*t + 2 + 4, -4*t - 11 = 3*w. Let h = w - m. Is -1 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8*c + 40. Solve 6*x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 2*s**4 - s**4)*(-213 + 460 - 231)*(96 + 7 - 39).\nAnswer: -1024*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 2041*d - 2113*d + 81. Let x be (-3)\/(((-18)\/4)\/3). Solve v - 2*v = 4, d*a - 17 = x*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85980565 times -2?\nAnswer: -171961130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1178 and 744.\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 3*v**2 - 2*v + 2. Suppose 0 = -f - f - 2*p - 10, f - 4*p - 10 = 0. Let z be m(f). Suppose z*r + 3 = 83. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - ((-4)\/(-44) - 425\/(-165)))*(-9)\/204?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2925907200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/18, 13987.\nAnswer: 1\/18, 0.1, 13987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/108)\/((-19)\/8*3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 6. Let x(h) = h - 13. Suppose -124*l + 1003 = 89*l - 62. What is l*n(z) + 2*x(z)?\nAnswer: -3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-27)*(k*k*(k\/((k\/(k**(-4)*k))\/k*k)*k*k)\/k)**(-5) assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6)*-6)\/(609\/13195). Does q = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 81\/(-42))\/(1\/(-4)). Let o be (-2)\/(152\/(-30)) - 57\/114. Which is the closest to 1\/5? (a) m (b) o (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 22*n**2 - 22*n + 22. Let z(t) = -2*t**2 - 9*t + 26. Let y be z(-5). Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382 a factor of 117916102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2027, -16314, -55179, -130910, -255795, -442122, -702179, -1048254?\nAnswer: -1492635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005488178018 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 (base 9) in base 12?\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:32 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:49 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3251, -25730, -86743, -205556, -401435, -693646, -1101455?\n\"Answer: -3211*b**3 - b**2 + b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 14*w + 36. Let x(o) = o. Let v(j) = c(j) - 2*x(j). Determine f, given that v(f) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 12, 0*s = -3*s - 4*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -177 - -129687?\nAnswer: 129510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56911527 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 - 163*h + 16*h**2 + 163*h + (-3*h**2 + 0*h**2 + 5*h**2)*(-5*h + 2*h + h) - h**2 + h**2 - 2*h**3 + h**2 - h**3 - h**2.\nAnswer: -9*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 42*t - 88. Let f be j(44). Let u = -0.4 - 0.1. What is the biggest value in f, 0.1, u, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2463*y - 32189. What is f(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3166*l + 3168*l + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-8))\/((-42)\/45) + 3. Let q = -1429.9 + 1430. What is the smallest value in -6\/11, q, k, 3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from udldddddcudnlvdnnvc.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) -1.1 (b) -2 (c) -0.02 (d) -1\/2 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -14*c + 1 - 2*c**2 - 9*c**2 + 10. Let f(t) = 25*t**2 + 3*t - 1. Let u(w) = -3*w**2 + w - 1. Let z(s) = f(s) + 6*u(s). Calculate 5*m(i) + 8*z(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/30 - 14*w**3\/15 - 49*w**2\/5 - 17*w. Factor x(p).\nAnswer: -2*(p + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 4.546?\nAnswer: 0.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -753290.6310119?\nAnswer: 753293.6310119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -95a70 (base 15) to base 2\nAnswer: -1110011111011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/15 - (-1)\/3. Solve j*d = -5*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20212017.1 to the nearest one thousand.\nAnswer: -20212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*z - 349*z - 3*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000032589142 rounded to seven dps?\nAnswer: -0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -0.033\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 4, 7, 1, 3, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1160956\nAnswer: 1\/290239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:36 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19313391, -19313434, -19313477, -19313520, -19313563?\nAnswer: -19313606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 48 = 592. Let d be (-30)\/(-5)*r\/12. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 93685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**3 - 10*k**3 + 17*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(102)\/sqrt(6) + -5.\nAnswer: -7 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021031635 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15393, -15385, -15377, -15369, -15361, -15353?\nAnswer: -15345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 718*g - 717*g + 9, -t - g + 3 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -77808 (base 13) to base 12\nAnswer: -a5476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z - 13*z - 34*z**2 + 32*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1)\/(-27)*(29 - 32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12 and -127\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-15) - 20832\/(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700) + -4 + sqrt(700))**2*-2.\nAnswer: -11264 + 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39900, -40075, -40250?\nAnswer: -40425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1) - -2)\/1. Suppose -4*w - q = 774 - 764, 2*w + 3*q = -20. Put -7, z, w in decreasing order.\nAnswer: z, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 19 + 23)*(2*t - 2 - 5 + 0).\nAnswer: -176*t + 616","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1000243231 + 431?\nAnswer: -1000242300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 668201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, w: 7}. What is prob of picking 1 w and 3 d?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and -2?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-14 - -7) + 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.1551699.\nAnswer: -0.4655097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.0702301 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Solve -a = -c*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -14*z. Let m(k) = -7*k - 11356 + 11356. What is 7*m(h) - 3*x(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(2\/21)))*s*s*s)**15 assuming s is positive.\nAnswer: s**(410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7016501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.517599 nanograms?\nAnswer: 0.008517599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t = -1687 + 957 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 707, 709, 711, 713, 715?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d**2 + d. Let g(u) = -8*u**3 - 5*u**2 - 2*u. Let p(t) = -g(t) - 5*y(t). Determine h so that p(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51073202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 422 or 421?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {h: 7, b: 1, i: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92847*d**2 + 110782.\nAnswer: 185694*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -3*n - 5*l, -39 = 4*n + 4*l + 25. Let m(z) be the first derivative of z**3\/3 + 6*z**2 - 36*z - 1537. What are the prime factors of m(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let b = 6 - 6.12. Let f = b - -0.02. What is the closest to m in 3, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/8)*(j**(-9)*j)\/j*j**(-4)*j**(-4))\/((j**0)**(-2\/15)\/(j**(-7)*j\/(j*j**(-7)*j))) assuming j is positive.\nAnswer: j**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0253537 from -47.678.\nAnswer: -47.7033537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302 = 221*c - 159*c for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-27))**(1\/4)\/(((z*z\/z**(-6\/7)*z)\/z)\/(z\/(z\/z**(1\/28)))))**(-35) assuming z is positive.\nAnswer: z**(-585\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -392*v**5\/5 + 4032*v**4 - 253194*v**3\/5 - 159242*v**2\/5 + 102336*v\/5 - 12168\/5 = 0. Calculate v.\nAnswer: -1, 3\/14, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = -y, -5*y = 2*q - 0*q + 1. Which is the nearest to q? (a) -1 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ududdduddddd. Give prob of picking 4 d.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 - (-132)\/30. Suppose -2*a + 2078 = 2*x, 2*x + l*a - 2082 = 3*a. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02598398 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*c - 9925 + 1470 = -197*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 u, and 1 e when four letters picked without replacement from {e: 1, u: 3, k: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {v: 1, n: 2, e: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -m + 2 = 2*s - 3*s, 3*m - 6 = 5*s. Calculate the common denominator of -61\/6 and y\/3 + 27\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31059 divided by -87?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841121.1 weeks to seconds.\nAnswer: 508710041280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 400*g**4 - 196*g**2 - 545854 wrt g?\nAnswer: 1600*g**3 - 392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1006433, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.1, -1006433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + t = 7*v + 4, -5*v = 4*t + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/29 and (-124)\/13*(-17)\/((-544)\/(-6))?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83.728 and -0.1.\nAnswer: -83.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-41)\/198 - (-4)\/18. Let x = 2\/11 - v. Let d = -3.2352 - -4.2352. Which is the second smallest value? (a) d (b) x (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*m + 8 + 17, -x + 10 = 2*m. Suppose -b - b + 2 = x. Let v(o) = -o**2 - 24*o + 2165. Let g be v(36). Sort b, -2, g in increasing order.\nAnswer: -2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -721\/12 - -60. Let v = -135 + 127. Let s(m) = m + 3. Let q be s(v). Which is the smallest value? (a) y (b) -4\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(567))**2 + -3.\nAnswer: 90*sqrt(7) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 9*h + 13. Suppose -5*b + 3*u = 90, -b + 3*u + 30 = -4*b. Let y = -24 - b. List the prime factors of k(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6160875, -6160870, -6160865?\nAnswer: -6160860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, -0.1, -6890, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1132024*g**6 - 2*g**2 + 3150086 wrt g?\nAnswer: 135842880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -439*b + 69. What is the hundreds digit of v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9723300 to the nearest integer?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3582c (base 14) to base 12.\nAnswer: -63694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 722. Does 28 divide (k - -7 - -1) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7427*k + 4. Let i(s) = 29730*s - 15. What is -15*g(x) - 4*i(x)?\nAnswer: -7515*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 1475, 2067, 2659, 3251?\nAnswer: 3843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549885856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 3, 4, -1, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from bkgbouubkorb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*x**3 - 45*x**3 + 64*x**3)*(5 - 6 - 3).\nAnswer: -368*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -92. Let p(u) = -57*u - 3. Let g be p(-2). Suppose 2*a + z = 3*z + 56, -4*a = -3*z - g. Calculate the remainder when a is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 459, 457, 455, 453, 451, 449?\n\"Answer: -2*k + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/15 - (-1)\/5. Let s = 3 + z. Suppose r + 20 = -5*a, 4*a = s*r + 2*r - 16. Is 0 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1669 + 17.2129. Let z = v - 0.346. Round z to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*2 + 4)**2 - -2*(-4*(sqrt(304) - sqrt(19)) - (5 + 1 + sqrt(19)))**2.\nAnswer: 216*sqrt(19) + 9246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-163465055)\/117 - -8) + (-4)\/(-18). Let m = y + 2102129. What is m rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 23*x**2 + 12*x + 29. What is the units digit of o(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -913 + 873 - (13 + -4).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616594 is divided by 3008.\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 73131.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 4*n + 6. Let i be p(-2). Suppose -3*h + 3*o - i - 6 = 0, 0 = -3*h - o + 8. Are h and -1\/27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68285 is divided by 414?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 51. Let q be d(-24). Let g be (-34)\/10 - 2\/(-5). Put g, q, -2 in descending order.\nAnswer: q, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-12))\/(120\/288)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 13*n**2 + 12*n - 10. Give k(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - q**2 - q. Let w(i) = 4*i**2 + 3*i - 5 - 3*i**2 - 9*i**3 + 9. Let x(l) = 6*k(l) + w(l). Is x(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3\/2 + 3307265*b**2\/2 + 273450871320*b + 273449217690 = 0. Calculate b.\nAnswer: -330726, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 13 = -5*p - 0*p, 0 = -3*y - 3*p - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:38 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2492, 1741, 990, 239?\n\"Answer: -751*w + 3243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 18*o**2 + 52*o + 45. What is the remainder when z(17) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -1.97. Let l = -8 + 8.24. Let h = 0.34 - l. Which is the second smallest value? (a) y (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 17. Let t = -43819681.9999966 - -43819689. Let c = t + i. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022923304 to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*b - 29. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - 6. Suppose -2*y = -0*y - 2. Let u be (-9)\/(-4) - y\/4. Solve 2*a + 24 = 3*b + u*b, a - 10 = -r*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m. Let z(g) = -2*g + 3*g + 2*g. Determine z(r(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 3*l**2 - 4. Let z be q(3). What is the nearest to 1 in z, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-4) - 8\/(1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p + 57*p - 16*p - 2208 - 24*p.\nAnswer: -3*p - 2208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5139472770.9999589 - -5139473337. Let g = x + -566. What is g rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 696 - 144. Let c = 556 - i. Let -36\/5*v + 9\/5*v**3 + 26\/5*v**2 - 7\/5*v**c + 8\/5 = 0. What is v?\nAnswer: -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a54 - -4?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16070*b = -16111*b - 123 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29*r + 32*r = 9, 3*r = 9. Solve 0 = -5*q - 2*w + 5, -5*q + g = -3*w - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 784, 1\/4, -2, 2.5 in increasing order.\nAnswer: -2, 1\/4, 2.5, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 41.5445174.\nAnswer: 41.8445174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3 + 4365*p**2 + 954840*p + 950480 = 0.\nAnswer: -436, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 4, -2\/3.\nAnswer: -1, -2\/3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2008 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 4. Let k be b(4). Suppose 0 = -2*a - k*a. Suppose -s + 36 + 79 = a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*a**2*i**2 + 128044*a*i**2 + 61420855*i**2 with respect to a.\nAnswer: 54*a*i**2 + 128044*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000214833562 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (15900\/810)\/53*18*-1*3\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 99*r + 73 = 96*r, 4*p - 50 = 2*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 + 0.49.\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 566 + -570. What is the third smallest value in u, -76, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) - sqrt(19)*1) + (sqrt(76)*-5)**2 + (sqrt(19) - (sqrt(1900) + 1)**2) + (sqrt(19) + 0)**2 + 0)*-4.\nAnswer: -72 + 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 + 5*v**2 + 6*v - 21. Let x be c(5). Let l = x + -45. Let k = -276 - l. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/(-32) - (0 - 6 - -3). Sort -0.7, 2\/3, k in decreasing order.\nAnswer: 2\/3, k, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:33 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) -4.027 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 15, 1 in descending order.\nAnswer: 15, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - (-2 - 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1411 divided by 2\nAnswer: 1411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2625\/42 - 63)\/(-2*5\/(-1460)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 10*l - 22. Let b be k(-8). Let z be (-215)\/(-43)*(-1 + b\/(-130)). Sort 1\/12, z, 0.2, -0.06.\nAnswer: -0.06, 1\/12, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 = 5*v + 6, 2*o - 34 = -5*v. Suppose -7*x + 3*x = -60. Suppose 5*k = 3*b - 6 - 29, x = 3*k. What is the remainder when b is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 7*c**2 + 4*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from navfeaaafafnnfnfvuna. What is prob of picking 1 v, 1 e, 1 f, and 1 u?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*i - 1230*i + 912*i + 149*i + 948*i.\nAnswer: 957*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2 - 4*a + 5*a)*(-5*a + 32 - 32).\nAnswer: -10*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6011*z**4 - 34715*z**2 + 2*z + 579887333?\nAnswer: -72132*z**2 - 69430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269068 a multiple of 1093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211948 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*v + 84 + 188 = 0, -20 = 5*v. Suppose 0 = -3*p - 5*h + 63, -p - 3*p + k = h. Solve 0 = 4*l - 1 + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -1\/2*l**2 + 2\/3*l**3 - 29*l - 1\/12*l**4 + 29. Let k(x) be the first derivative of d(x). Calculate k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22\/3 - -7. Let z = -9.27 + 0.57. Let u = z - -9. What is the smallest value in l, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqlf. What is prob of sequence qf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 731889200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -48. Let j(a) = -36*a - 8. What are the prime factors of j(v)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4*n + 59*i**3*n - 61*n wrt i?\nAnswer: 8*i**3*n + 177*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12053 (base 7) to base 6\nAnswer: -22245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 21462*r - 21465*r = 3, 0 = -3*k + 8*k - 5*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6575, 11182, 15811, 20474, 25183?\n\"Answer: 2*p**3 - p**2 + 4596*p + 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716897471 to the power of 1\/2, to the nearest integer?\nAnswer: 60966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1185155*q - 1184982*q + 8654 + 4667 = 0 for q.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 15*p**3 + 18*p**3 - 85*p**4 + 86*p**4 - 2*p**2)*(-3 - 1 + 8).\nAnswer: 4*p**4 + 12*p**3 - 8*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730*l + 5 - 354*l - 5 - 364*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q. Let p(i) = i + 1. Let m(g) = 16*g + 24. Let b(l) = m(l) - 24*p(l). What is a(b(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2609 - 1085343\/416. Let a = k + 363\/416. Calculate the common denominator of a and (-57)\/(-2)*10\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*n = -2*c + 61*n + 14275, 3*c - 3*n = 21405. What are the prime factors of c?\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4271\/8 + 72489\/136. Are 0 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1978?\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 - 283. Let j = -1.01 - -0.51. Which is the nearest to 1? (a) 0 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = -0*q + 4*q, -3*u + 5*q = 24. Let p be 47998\/(-6) - (-1)\/u. What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let m = k + -0.7. Let x = m - -0.2. What is the biggest value in x, 1\/10, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = -0*b. Suppose -5 = 3*g + 4*a, 0 = -2*g - 2*a + 6*a + b. Suppose -2*y - 2*k - g + 13 = 0, -4*y + 54 = -2*k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g - 16 + 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 2*f**2 - 2*f + 4. What is w(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h - 1. What is t(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71148 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 - 3*o - 3. Let i(q) = q**3 + q**2 - q - 1. Give -3*i(a) + v(a).\nAnswer: -a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqqe when four letters picked without replacement from uuuueexuqeuqx.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -197, -297, -383, -449, -489?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 65*v**2 + 56*v + 1. Let j(c) = -130*c**2 - 115*c - 2. Let a(l) = -6*j(l) - 13*x(l). Find the second derivative of a(h) wrt h.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y. Let z(b) = -4*b - 32*b**2 + 57*b**2 + 4*b. Determine z(j(o)).\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i - 2. Let f be w(-1). Suppose 3*q = m - 0*q - 1064, f*m - 5340 = 5*q. What is the hundreds digit of (m\/5 - 0) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2468829.\nAnswer: 3, 11, 79, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 13*a + 14. Let g be c(13). Let w be (g + 0)\/((-4)\/10). Let z = 65 + w. Calculate the highest common factor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(2\/2*(-30)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/7)\/(q**(4\/11)*q))\/(q**7\/(((q\/((q\/q**(2\/23)*q)\/q*q*q))\/q)\/q)) assuming q is positive.\nAnswer: q**(-23260\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.032? (a) -5 (b) -0.2 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let d(b) be the second derivative of -b**4\/6 + 6*b. Give n(d(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34357\/20 + 1713. What is the common denominator of g and 113\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147.644 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135375*n - 1765 = -135464*n + 925 + 2116 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -406, -423, -440, -457, -474, -491?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11311 - 9155. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrrvrvsuusuuuku. What is prob of sequence urkv?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.854714 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13922944*o**2 + 95770470*o?\nAnswer: 27845888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let n(h) = 888 + 3*h**2 - 888. Determine i(n(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {p: 4, z: 1, o: 7, x: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9267379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-248)\/(-20) - 4\/10. Let m(k) = 5*k - 27. Let f(h) = -9*h + 54. Let q(c) = 4*f(c) + 7*m(c). Let v be q(w). Solve 0*y = 3*y - v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -9 - -15) + 1 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1940.75 + -1506.993. Round t to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j\/(j*j*j**(-2\/9)*j))**(-4) assuming j is positive.\nAnswer: j**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423063.\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4. Suppose k = 3*k - 4. Suppose 0*w - k*j + l = -w, -4*w - 4*j + 20 = 0. Solve 2*n = n - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 minus -147094938799?\nAnswer: 147094938803.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 + 182*g**2 - 240*g**2.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/13)*d*d\/(d*d\/(d*d**(-4\/5))*d))\/(d\/d**(-2\/11)*d*(d\/(d\/d**19*d))\/d) assuming d is positive.\nAnswer: d**(-14122\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 21*j**2 + 20*j + 16. What is n(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*n - 349*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*(-3240)\/(-3672)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1135 = -4*t - 737. Let f = -462 - t. Solve 6 - 12 = -f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - f**2 + 2*f**2)*(4*f**3 - f**3 - f**3)*(-1 + 4 - 2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12300004 = -5*s, 46*s - 4919996 = 44*s + 2*n. What is s rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t**2 - t + 1. What is q(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 472, 4, -758 in descending order.\nAnswer: 472, 4, -758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -22?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 7*g + 5. Let z be s(6). Let k be (0 - z)*(-3 - 1). Is k != 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (159\/6)\/(2 - 15\/6). Let r = t + 53. Solve 4*j + 3*k - 6*k = 23, r = 5*j - 4*k - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**2\/2 - 258603*u - 310320 = 0.\nAnswer: -103440, -6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/7 (b) 3\/5 (c) -163 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-540)\/1)*(-351)\/(-195)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -294556*z**3 + 4220*z - 2110. Let k(w) = 419*w**3 - 6*w + 3. Give 6*j(r) + 4220*k(r).\nAnswer: 844*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 132*u**3 - u**2 + 2*u + 5. Let v be f(-3). Round v to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/114*(-304)\/(-532).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 - -0.06. Let v = l + 0.4. Is v < 1\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.83\nAnswer: -1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2*1 + 2.\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.06, 0.2, -2.22, -0.5, -5\/2?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 11*s + 20. Let c = 14 - 11. Suppose c*h = 5*h + 18. Let q be u(h). Solve y - 5*j + 16 = 3*y, 4*y + q*j = 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 28*q - 63. Give d(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20014242 (base 5) to base 6.\nAnswer: 3212531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35774 is divided by 11919.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-35)\/(-3). Calculate the common denominator of ((-2)\/(-9))\/(j\/(-1179)) and -2 + 1 + (-204)\/88.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-3)*68\/119.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05469 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18462532*j + 9231276*j + 9231256*j + 17*j**3 - 15*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let a be z(2). Let b = 0 + a. Find the second derivative of -w - 4 + b + w**2 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and 587656.\nAnswer: -29970456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 2*c - 53, -710*c = -713*c - 3 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 70146872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooxootomxonxoomonto. What is prob of picking 2 o?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k + 515. Calculate the remainder when g(-4) is divided by 149.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34802197 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 214, 208?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1239177 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 109 + -2 - (-5 - -3). Let r = g - 2399\/22. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/123253 and -113\/988?\nAnswer: 493012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Suppose -5*v + b*q = -12, 0 + 6 = 2*v - q. What is m in 3*m**4 + m - m**4 - v*m**4 - m**5 + 2*m**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1007*y - 225093. Calculate d(223).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056 - 24.8.\nAnswer: -24.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2849*o - 2845*o + 34, -5*c - o = -14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = 4*g, 2 = g + 2*g + 2*s. Suppose 5*y = 135 + 285. Let v be (-34)\/y + 1\/(-6). Do v and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 616 - 618. Let h = -0.15 + 0.01. Let x = -6.14 - h. Which is the nearest to x? (a) m (b) -5\/6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f - 2. Let y be g(-6). Let a = 40 - y. Suppose -v - 9 = -4*q, 0*v - v + 5*q = a. Solve -2*r = 5*p - v*p, 0 = 2*p - r - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28279158.\nAnswer: 2, 3, 71, 66383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 + 2*f + 1. Let i(y) = 4*y**2 + y. Let w = 241 + -246. Determine w*i(h) + 2*b(h).\nAnswer: -2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18916 and -1262399.\nAnswer: -1243483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84197\/553 - 578\/79. Let w = -159 - x. Let p be -2 - (-4 + (2 - 3)). Which is the second biggest value? (a) -2 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66987+15\nAnswer: 67002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 9996\/180)\/((-4)\/5)*(-474)\/4.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -63, -1\/2 in decreasing order.\nAnswer: 2\/7, -1\/2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 912 - 642. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17406 = 19*l + 4182. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331130 - 3?\nAnswer: 331121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 15790 = 15839 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16208855, 32417700, 48626543, 64835384?\n\"Answer: -l**2 + 16208848*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28 - 4590\/(-600))*8\/(-3). Is -94 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/9)\/((z\/z**0)\/z))\/(z\/(z\/(z**1\/z))*z\/z**7)*((z**(-1\/4))**(-28))**(2\/33) assuming z is positive.\nAnswer: z**(592\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14735364 divided by -7.\nAnswer: 2105052","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/49 and 62\/63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 2128*o - 438205. Give m(231).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (80 + -95)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 + 906*x**3 - 208801*x**2 + 1627176*x - 3225616 = 0. What is x?\nAnswer: 4, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38609, -38591, -38575, -38561, -38549?\n\"Answer: -n**2 + 21*n - 38629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 222.8?\nAnswer: -17.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8409528 to the nearest integer?\nAnswer: 2900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10a (base 12) in base 3?\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-8)\/65)\/(-4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 1. Let n be m(-2). Let j = n + 5. Let q(b) = 3*b - 3. Let v be q(j). Solve 7 = 2*i - v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.871 + 0.129. What is the closest to 2\/3 in -3, d, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3042, -6087, -9136, -12189, -15246?\nAnswer: -18307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 22 = -5*z. List the prime factors of (z - 1 - -2) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*g - 239, 5*s - g - 227 = s. Suppose -4*i = 2*m - 1006, 14*i - 9*i = 8*i - 3. Calculate the remainder when m is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1161713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-5914 - 74\/37. What is the hundreds digit of 12\/4*(v\/(-18) - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1066 and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/42*2\/(-4). Let m(j) = -5*j - 91. Let z be m(-19). Which is the nearest to z? (a) 3\/7 (b) 0.02 (c) w (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470563?\nAnswer: 569, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*c**5\/3 - 1233*c**4\/2 - 25*c**3\/6.\nAnswer: c**3*(c - 25)*(148*c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-60) + (-5)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, -675, -36, 0, 3 in descending order.\nAnswer: 3, 0, -1, -4, -5, -36, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (7\/3 - 2))*(-110085)\/1790?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y**2 + y)*(1 - 1 - 2*y**2) + (0*y + 2*y + 3*y)*(y**3 + 4*y**3 - 4*y**3).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5637236 litres in millilitres?\nAnswer: 563.7236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746885?\nAnswer: 5, 83, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/5103 and -86\/1701?\nAnswer: 5103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2304 + -211200?\nAnswer: -214004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/8*(-32)\/(-120). Let y = 957\/5 - 192. Let t = i - y. Sort 3, t, 0.\nAnswer: 0, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 106 = 15*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-3 + 1))\/(1 - -1). Suppose -3*p + 15 - 63 = m. Let d(k) = -7*k - 2. What is the units digit of d(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o - 3. Solve -5*g - o = 5*d - 31, -4*d + 5*g - 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 97 - 57 - 121.\nAnswer: -a**3 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 437\/133. Let f(s) = -s**2 - s + 5. Let b be f(p). Sort 3, -3, b in ascending order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121201012121 - -102?\nAnswer: 2121201020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 49971 - 44074445\/882. Calculate the common denominator of l and -59\/980.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2111011000?\nAnswer: 2111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984*r = -973*r + 2596. Put r, -3, 5 in descending order.\nAnswer: 5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**2 + 3*v**3 + 7*v**3 + 28*v**2 + 25*v**2.\nAnswer: 10*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/11, -5, -2\/7 in ascending order.\nAnswer: -5, -2\/7, -3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(567)*-2 - sqrt(567)))**2 + -1 + -3.\nAnswer: 324*sqrt(7) + 45927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 2*v - 4. Let n be z(-4). Suppose -n*r + 0*c + 64 = -4*c, 14 = r - 3*c. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2229714 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755718612 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3257\/113464 - 2\/14183. Sort 2, 4, 1\/8, j.\nAnswer: j, 1\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180*b = -1078*b - 5 + 5. Solve -11*v - 30 = 4*l - 6*v, -4*l - v - 22 = b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9882*m**3 - 1084 - 1084 - 1074 + 3242 + (0*m**2 + 2*m**2 - 3*m**2)*(4 - 4 - 5*m) to the form n*m + k + s*m**3 + w*m**2 and give s.\nAnswer: -9877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**0)*y)**(27\/4) assuming y is positive.\nAnswer: y**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 471\/7. Let n(a) = -a**3 - 33*a**2 + 189*a - 38. Let y be n(-38). What is the nearest to y in -5\/3, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 33, 6, -1 in ascending order.\nAnswer: -4, -1, 3, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (21\/9)\/((-4)\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + l - 3*l + 342 = 0, 3*l = 15. Let a = 84 - v. Let c = 0.47 - 0.4. Which is bigger: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746167 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -69520000 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 11*b**2 + 3*b + 24. Let c be a(-11). Let n be (-165000)\/5*(1 - c). What is n rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4888556 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.96 - -4.96. Let f = 1171732572827\/8190 - 143068690. Let j = f - -2\/585. Which is the biggest value? (a) y (b) j (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 674. Let c(v) be the first derivative of -4*v**3\/3 + 5006. Determine r(c(t)).\nAnswer: 16*t**4 - 674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/55*20*11\/(-264).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*i - 3*i. Let j(t) = -32*t. Let m be j(-2). Suppose m - 39 = -5*z. Put 0, z, i in descending order.\nAnswer: i, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.2776252?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 - -10925763?\nAnswer: 10925920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + i + 2. Let j be n(-2). Solve -2 = 2*l - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/2*(2939274\/(-316))\/(-117)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912292 to the power of 1\/2, to the nearest integer?\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 1. Let o = 76 - 70. Calculate the remainder when o is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 8 = -2*s + 4*y, s = -3*y + 24. Suppose 36*a = s*a + 1386. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 84866688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/831460 or -2?\nAnswer: -3\/831460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4030377517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllsblj. What is prob of picking 1 b, 1 l, and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1111001020202212?\nAnswer: 1111001020210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - -52)*(3 + (-8)\/1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from ikvkvkkiikzyvoy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 7. Let q be c(3). Calculate the common denominator of q\/18*(-1 - -59) and -55\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Put 4, b, -2, 4\/19 in descending order.\nAnswer: 4, b, 4\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)\/a**(-6))**(-6)\/((a*(a\/a**(-2\/3)*a*a)\/a)\/a*a**(1\/9))**(-6\/11) assuming a is positive.\nAnswer: a**(-7372\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172808830.\nAnswer: 2, 5, 43, 479, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Let j(o) = -3*o - 2. Let r be j(z). Let m be (-2)\/(-7) + (-66)\/r. Solve 0*p + 13 = t + 2*p, 0 = -m*t + p + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/45 + 42\/(-20) + 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2550*w - 2567*w = -408 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70193987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 292021745 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3129275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (168*d + 615*d - 1221*d)*(0*d + 0*d - 2 - 2*d**2) to r*d + t*d**2 + v*d**3 + n and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {w: 1, o: 5, z: 8, h: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away -87?\nAnswer: 86.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196076650 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16588)\/48 + (-1)\/(-4). Does u = -346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*x + 264037 = -7588*x - 308805 + 77122 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in minutes?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*(sqrt(133) + (sqrt(133)*2 - sqrt(133) - sqrt(133)) + sqrt(133))*3)\/(sqrt(567)*-3 + (sqrt(7) - (sqrt(7) + sqrt(63)\/(sqrt(27)\/sqrt(3))))))**2.\nAnswer: 4275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 141\/(-21) + 4\/(-14). Let v be (-19)\/g + 6\/21. Solve v*z + 4*d - 14 = 0, d = -5*z + 5*d - 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 + 0.48?\nAnswer: 2914.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 33*x**2 + 35*x + 112. Let k be u(-34). Let a be (-9)\/(-18)*(0 - -234). Calculate the highest common factor of a and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1444 + 1450. Solve 3 = q*g - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/44 and -51\/20456?\nAnswer: 225016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/235 + 20457\/470. Find the common denominator of j and -1\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355079801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 - 7*q - 3. Let w = 951 - 958. Give x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v + 9*v - 168 - 77 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/((-520)\/(-60)))\/(1\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 9. Let p(c) = 2*c**2 - 7*c - 3. Let k be p(6). Calculate the greatest common factor of k and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let s = 70 + 4. Let t = -664\/9 + s. Which is the third smallest value? (a) -0.4 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.719888 + -0.72. What is n rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4875827974 to the nearest integer?\nAnswer: 69827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 14*o**2 + 2*o**2 + o**2 + 15*o**3 - 17*o**2.\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, x: 1, m: 3, v: 1, c: 4, i: 1}. What is prob of picking 2 q, 1 x, and 1 c?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22131009 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4) - 4915\/(-20). Suppose -3*o + 181 = -0*u - u, -5*u = -4*o + w. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = o, -4*s + 2*s - o = -1. Suppose s*q - 20 = 2*q. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*d - 18 - 87, y - 22 = -d. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + 13 + (-46)\/12. Let r(o) be the first derivative of -1\/8*o**4 - 1\/4*o**2 + 2\/3*o**3 - 1\/4*o + 2 - 7\/20*o**5 + b*o**6. What is m in r(m) = 0?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/192244 and -11\/3796.\nAnswer: 14033812","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 3*l + 4. Let t be h(-2). Solve 4*o - 6 = 2*q, 0 = 5*o - 6*o + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3493, 3497, 3503, 3511, 3521?\nAnswer: 3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25182919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 8. Let k(o) = 395*o - 17. Calculate k(b) - 2*s(b).\nAnswer: 393*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 9*j**2 - 4*j - 19. Suppose 11*t - 70 = 4*t. Calculate the remainder when u(t) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 193968226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 2*v**3 - 4*v**3 + (-v**2 + 3*v**2 - v**2)*(2 - 2*v - 2) + v**3 + 34*v**2 - 35*v**2 + 4*v**3)*(-156*v + 85*v + 205*v).\nAnswer: 536*v**4 - 134*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -18318*k + 18321*k - 3*w, 4*w = -3*k + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - ((55 - 27) + -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 255086, 2, 0.3, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -190\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/71 in 1, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13823 - 1.232.\nAnswer: 13821.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-248)\/(-20) - (-6)\/(-15). Let t = q - -6. List the prime factors of 14\/63 + 1058\/t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 909*r**2. Let b(s) = -3*s. Calculate b(g(m)).\nAnswer: -2727*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67965*s - 22747*s - 22489*s - 22730*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -42*g**3 + 15*g**2 - 61*g + 58. Let u(h) = -25*h**3 + 7*h**2 - 32*h + 29. Let s(c) = -3*f(c) + 5*u(c). What is s(9)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwtwiwwwtw. Give prob of sequence wt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -17\/5*j**2 + 58*j + 0 + 1\/15*j**4 - 11\/5*j**3. Solve q(g) = 0 for g.\nAnswer: -1\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i + 8. What are the prime factors of o(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.3 and 1.\nAnswer: 23.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/959 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170\/1332841 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37905 + 12645 = -12*p. Let b = 3205 - p. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10492 - -24293. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -4)\/6 + -1 + (-539)\/(-231)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -153*a + 1062. Determine b(11).\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -17*m + 5. Let z(t) = 7*t**2 - 8*t + 3. Let a(s) = 3*s**2 - 4*s + 1. Let d(o) = m*a(o) - 2*z(o). What is d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*x = -0*h - 9, 0 = 3*x + 9. 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: What is the value of 24\/(((-9)\/15)\/((72\/(-15))\/(-12)))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 43*q + 4*u - 40 = 0, -q - 3*u + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 4. Let o be (-1 - -1)\/(-2 - n). Let g be 2 - ((-1 - -2) + o). Is g bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:53 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let o(i) = i + 2. Let j(p) = 4*b(p) - 2*o(p). Let w(f) = -160*f + 153*f - 1 + 1. Give w(j(q)).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * 29.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 4606 - 4514 + 9042 to h + t*d and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*c = 2117 - 308 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8713013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and -0.4?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 3*h + 1. Let y(t) = -92*t - 2 + 5*t**2 + 47*t + 52*t. Suppose -7*a - 15 = -2*a. Determine a*y(g) - 7*b(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3633\/7 + 1 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - (33\/6 - 0). Which is the smallest value? (a) t (b) -32\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14342*z + 14369*z - 29*z**2 + 14332*z - 43124*z in the form x*z + f*z**2 + v and give x.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**4\/4 - h**3\/2 + 46*h**2. Calculate l(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 6*y - 57. Solve y*v = 10*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 0.6. Let r(d) = -d**3 + 9*d**2 - 7*d - 12. Let v be r(8). Let h be 84\/(-20) - (v - 0). What is the second biggest value in h, 3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*n + 438, -3 = -n - 1. Suppose 80 = 2*g + s + 3*s, 2*g - 5*s - a = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 0 + 0)*(315 - 315 - 162*f**2 + (-4 + 1 + 5)*(-2 - f**2 + 2) - 2*f - f**2 + 2*f - 3*f**2 + f**2 + 0*f**2) as y + l*f + x*f**2 + i*f**3 and give i.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 146569954057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 2*u**5 + u**5 - 4*u**5 - u**5 + 3*u**5 + 3 - 3 - u**5 + 5*u**5 - 2*u**5 - 4*u**5 + (3*u - 2*u + 0*u)*(0 - u**4 + 0).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0.8. Let p = 0.45 - 0.05. Put p, c, 12, 0 in descending order.\nAnswer: 12, p, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1357*z**3 - 5592*z**2 - 35339440.\nAnswer: -4071*z**2 - 11184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-2)\/215) + (-341 + 459)\/(-472)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 8*c**3 - 6 - 7 + 4*c**3 - 5*c**3 + 2*c**3 + (2*c**2 + 3*c**2 - 6*c**2)*(0*c + 0*c - c) + 0*c**2 + 0*c**2 + 2*c**3)*(-3*c - 3 + 3).\nAnswer: 12*c**4 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 887 and 4.\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/(-6))\/((-16)\/48). Let h = c - -7. Suppose -42 = -h*d + 23*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 + 2*q + 0*q - 8*q + 0*q to the form d*q**2 + m + a*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3172.\nAnswer: 2, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 63*c**2 + 2*c + 131. Let y be f(-63). What is the nearest to 0 in y, -0.27, -1, 3?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 48*m - 90. Let a be u(2). Solve 0 = a*i - 13 - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7560 (base 10) to base 15\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w = 448. Let z(n) = 16*n**2 + 4*n + 4. Let v be z(-1). What is the highest common factor of v and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 13. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*f**3 - 475*f**2 + 331*f**2 - 360*f**2 - 3*f**4 - 432*f.\nAnswer: -3*f*(f + 1)*(f + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1166*a**2 + 2*a + 7. Let h(u) = -845*u - 2. What is h(j(l))?\nAnswer: -985270*l**2 - 1690*l - 5917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(396)*-1) - sqrt(24)\/((sqrt(12) - sqrt(108))*-1)) + -1.\nAnswer: -1 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 2*r. Let j(c) = -27*c**2 - 108*c + 252. Let p(u) = -j(u) - 6*v(u). Suppose p(x) = 0. Calculate x.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 4 - 4 - 2 + 1. Calculate y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = 3*u + 30*u - 90. Solve 0*z = 3*i + 4*z + 13, -u*z - 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i. Let m(p) be the first derivative of p**3\/6 - 3*p + 2. Let a(g) be the first derivative of m(g). Calculate a(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27893 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5)*(-1)\/4)\/((-4472)\/11180)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 23. Let d(g) = 2*g**2 + 16*g + 2. Let b be d(-9). Let n = v + b. Solve -2*h = -4*j - n, -2*j = h + 3*h - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(2\/5))))\/(l*(l**(5\/4)\/l)\/l))**(-40)*((((l\/l**(-2\/7))\/l)\/l)\/((l*l*l*l*l*l**(-2\/23)*l*l)\/l))\/(l*l**(2\/3)*l)**3 assuming l is positive.\nAnswer: l**(-9761\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -55*s + 52*s - 346, 0 = y - 4*s - 93. Calculate the remainder when 731 is divided by y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22643869, 1, -1.\nAnswer: -1, 1, 22643869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 34*a**2 + 324 - 963 + 302 + 337.\nAnswer: 34*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 12. Let g be z(12). Suppose 12*q - 10*q - 222 = g. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 71 + v**2 + 360 - 201 + v - 88.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 - 117*y + 239. Calculate k(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.028+-29526599\nAnswer: -29526599.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7cd70 (base 14) to base 3\nAnswer: 120110200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 48 = 2*w, 0 = 5683*w - 5774*w + 2639 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 + 47 + -25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132660 and 335.\nAnswer: 132660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(0 + 0 + y**2) - 1084 + 1084 - 164*y**3.\nAnswer: -163*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010497 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -249*n + 21*n**2 + 465*n + 12*n**2 - 228*n = 0. What is n?\nAnswer: 0, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -15.83. Does 0 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174960*p**5 - 4818852*p**4 + 7056096*p**3 - 960544*p**2 - 1319552*p - 140608 = 0.\nAnswer: -1\/4, -2\/15, 26\/27, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -32, -68, -138, -254, -428, -672?\n\"Answer: -2*m**3 + m**2 - 3*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101484.4215093 - 242.4215493. Let x = 101240 - l. Let h = x - -2. What is h rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:39 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in 1\/3, 4\/3, 4, -34?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/3, -2\/9, 0.2, -8\/9 in decreasing order.\nAnswer: 4, 0.2, -2\/9, -2\/3, -8\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncncnncciccoc. Give prob of picking 1 n and 2 c.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*a**3 + 85*a**3 - 52*a**3)*(-28 + 57 - 16 - a).\nAnswer: -132*a**4 + 1716*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2067 or -2068?\nAnswer: -2067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417120 and 139040?\nAnswer: 417120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 123 (c) 0.3 (d) -0.0514\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + 1 + 0*c**2)*(-2 - 1 + 2) + c - c + 2*c**2.\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336253400 and 2605?\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -685628, -1372535, -2059442, -2746349?\n\"Answer: -686907*z + 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -13, -12\/43?\nAnswer: -12\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 833 = 5*j - 819, -4*b = 8. What is the remainder when 1181 is divided by j?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6052644 and 426789?\nAnswer: 66579084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-5) + (-10)\/25. Suppose 2 = -3*v - 3*n - f, 5*n = 3*v - 37. Solve -4*c - 8 + 24 = h, -c = -v*h + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40998 > -40808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1347, -1352, -1375, -1422, -1499, -1612?\n\"Answer: -v**3 - 3*v**2 + 11*v - 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 17. Let a(r) = 0*r + 3 - r - 7 - 2. Let c(w) = -2*w - 7. Let y(b) = -3*a(b) + 2*c(b). Let k be (-260)\/28 - (-2)\/7. What is k*y(s) - 2*h(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 23*t**3\/6 - 7*t**2 + 45*t. Let g(m) = 15*m - 9. Calculate 5*a(v) - 8*g(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 15*b**2 - 10*b - 8. Give z(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*n + 229*n + 640 = 0. Solve 0 = -5*b - u, u = -4*b - 3*u + n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1767 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 divided by -7?\nAnswer: -827\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 5*b - 2*b)*(1 - 2 + 3)*(-6 + 2 - 1)*(70 + 29 - 154)*(2*b + 0*b + b) in the form v*b**2 + y + h*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12282387 to 4 decimal places.\nAnswer: 0.1228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 334*c - 17858. Give q(-267).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*b + 2*c, b + 5*c - 33 = -63 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306, -613, -920, -1227?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -20 + 1\/30*u**5 - 2*u + 0*u**2 + 1\/36*u**4 - 1\/18*u**3. Factor i(t).\nAnswer: t*(t + 1)*(2*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23980 and 300407052.\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18985364861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-5))\/((-3)\/90). Suppose 4*x = 2*h + 172, x + 5*h + 3 = 24. Let n = q - x. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6518*y - 31390?\nAnswer: 6518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 50 (b) 112 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183\/191803 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 17*b**2 - 15*b - 12. Let v be x(16). Calculate the lowest common multiple of 1 and (v\/(-7))\/(8\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41222 divided by -2?\nAnswer: -20611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 109*n**2 - 79*n + 1346. Determine y(54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - w - w**3 - 9*w**2 + 4 + 3*w**2. Calculate the remainder when 7 is divided by m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1826, 3817, 5802, 7781, 9754, 11721?\n\"Answer: -3*h**2 + 2000*h - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -6*t + 3*t. Suppose 3 = 14*x - t*x. Suppose -4*r - 63*v + 64*v - 13 = 0, 4*v - 4 = 4*r. Put r, 4, x in descending order.\nAnswer: 4, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15588 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euyu when four letters picked without replacement from {n: 2, u: 2, e: 3, y: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0885 - 0.0885. Put -0.2, -94\/3, u in decreasing order.\nAnswer: u, -0.2, -94\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -345, -1078, -2301, -4014, -6217, -8910, -12093?\n\"Answer: -245*c**2 + 2*c - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(-19)*(t**26*t)\/t*(t*t**(2\/43)\/t*t)\/t assuming t is positive.\nAnswer: t**(-5416\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -343, -518, -693, -868?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -79, -124, -187, -268?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millimeter in micrometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3. Let n be g(-3). Let x(o) = o**3 - 7*o**2 + 8*o - 2. Let a be x(n). Solve -4*u + a = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 4:23 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -7.318?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103230 + -61298. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**3 + 4*k**2 + 9*k - 5. Let l(r) = -r**3 - r**2 - 2*r + 1. Suppose -3*g = -5 + 32. Calculate g*l(p) - 2*z(p).\nAnswer: -p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-9))\/((-295)\/91686*-37)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 0.488 (c) 0.02 (d) -47 (e) 0 (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 7. Let q = g - -10. Solve -1 = -q*t + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162219468*j**2 + 5016250*j + 9?\nAnswer: 324438936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2804512.35 - 3071200.92456. Let n = z - -266846.57455611. Let t = -158 + n. Round t to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2567, -2570, -2575, -2582, -2591?\n\"Answer: -m**2 - 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(24))\/sqrt(8) + ((sqrt(3) + sqrt(3) + 1)*1)**2.\nAnswer: 3*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1267 and 551.34521277.\nAnswer: 551.47191277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -7. Let f = d - -5. Let s = -12 + 9. What is the nearest to f in s, 1\/4, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shwwwwwhwwswwhw. What is prob of sequence ww?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 7:57 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 1, l: 2, o: 2, v: 4}. What is prob of sequence bo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) -423 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*t + 131*t - 56*t**3 + 130*t.\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066385657 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**37\/(((h\/((h**20\/h)\/h))\/h)\/h))**(-10\/3))**(-23\/3) assuming h is positive.\nAnswer: h**(12880\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 6*g + 18. Suppose -i - 2*i = 2*o + 21, 4*i = -2*o - 20. Is n(o) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 - 1986840*m**2 + 5960499*m - 3973662 = 0. What is m?\nAnswer: 1, 2, 662277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 44 = -4*o - 2*t, 0 = -4*o + t + 50. Calculate the highest common factor of o and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + 25a8?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0021395 rounded to 1 decimal place?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 37*z**3 - 3*z**2 - 2*z - 11. Let k be a(6). Suppose -3*f + k = 4*c, -2*c + 2797 + 1138 = 3*f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269642 - 116242. What is u rounded to the nearest 1000?\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 321 divided by -1179\nAnswer: -107\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9177 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(1008\/(-2688))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -13*z**6\/10 + 45*z**2\/2 - 45*z + 11. Let t(n) be the first derivative of a(n). What is the first derivative of t(m) wrt m?\nAnswer: -156*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-1)\/(4\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4197704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:59 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/23 (b) 0 (c) -6\/19 (d) -6266 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 205 in 0.2, -0.2, 1, 22, 4\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 + 15*x**2 + 20*x = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4f28 (base 16) in base 9?\nAnswer: 30715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from okkoskstcssksksskkkc?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33298544 + -0.33273. What is u rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 5) to base 8\nAnswer: -377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 + 152.0000138. Round d to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6806457550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9010169*a**5 - 24*a**3 + 1509*a + 19317.\nAnswer: 180203380*a**3 - 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14840 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.2 - 7. Let t = s + -1. Let l = t - -0.2. Which is the second smallest value? (a) -6 (b) 2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1211*i - 18*i**2 + 363*i + 257*i + 99.\nAnswer: -3*(i + 33)*(6*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 + k**5\/10 + k**4\/12 + 5*k**3\/3 + 2*k**2. What is the tens digit of r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*r - 23. Let i = 11 - r. Let k(z) = 2*z**2 + 4*z + 2. Let y be k(-2). Solve y = -4*w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**27))\/t**(-1\/26) assuming t is positive.\nAnswer: t**(703\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(7 + 125\/(-20)). Suppose -5*z + l + 7417 = -2*z, -3*z - m*l = -7423. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2246789999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 - 93 - (2 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11441 + 11527. Solve 91*y - 35 = t*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 4*z - 2. Suppose 727*m + 321 = 834*m. Let k(h) = 4*h**2 + 3*h - 2. Give m*k(y) - 2*g(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7912 by -1.\nAnswer: -7912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -596*r**2 + 154 - 91*r + 302 + 593*r**2. Let v(m) = 2*m**2 + 45*m - 228. Let f(j) = -3*l(j) - 5*v(j). Differentiate f(k) with respect to k.\nAnswer: -2*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1883*b**3 + b**2 - 10*b - 65.\nAnswer: -11298*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.1227 - -11.18. Let l = p + 0.0165. Round l to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -13. Calculate the common denominator of 5\/14 and (1\/g)\/(35\/1185).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230.3888 litres to millilitres.\nAnswer: 230388.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 - y**3\/4 + 3*y**2\/2 + y - 2.\nAnswer: -(y - 2)*(y - 1)*(y + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - -29. Suppose a = o + 36. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 5063654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -2*w**2 + 3. Let h = -5 + 4. Let p(o) = -o**2 - o. Let t(c) = -7*c**2 - 6*c. Let m(g) = h*t(g) + 6*p(g). Determine m(z(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 3573198*l + 2*l**3 - l**2 + l**3 - 3573202*l. Let w be 14\/6 + (-2)\/(-3). What is y(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41738686999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 4. Let j(o) = -3*o - 3. Let l(v) = -3*c(v) + 4*j(v). Let h(w) = 15*w**2. Calculate l(h(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a**22)\/(a*a\/(a*a**(-10))*a**(6\/7)) assuming a is positive.\nAnswer: a**(-307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) + 1*(-16)\/6. Is (-2 + (p - -1))*-6 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9234457 divided by 42\nAnswer: 9234457\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238101715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78331.32076 rounded to the nearest 10?\nAnswer: -78330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (3 - (2 + -2)). Suppose -5*k - v*q = 10, 4*q + 9 = 3*k + 2*q. Is (k - -25)\/(6\/9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -313*x**3 - 2*x - 28?\nAnswer: -1878*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 - 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuwuwfwuvwvfwfw. Give prob of picking 2 w and 1 v.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 7*d - 37. Suppose -d*p = -32*p - 12. What is the third derivative of 31*h**2 + p + h**2 + 19*h**5 - 3 wrt h?\nAnswer: 1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.16 (c) 10 (d) -0.13111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 7, 13, 19, 25, 31?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314387914.\nAnswer: 2, 3, 197, 463, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 77*u + 671. Let h(c) = -c**2 - 9*c + 12. Let j be h(-10). Suppose 2*b - 2*n = -j, 2*n = -4*b + n + u. Solve -4*v = -b*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g**2 + g + 9. Let p(n) = -5*n**2 + 3. Let r(h) = 6*b(h) - 17*p(h). Calculate r(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**2 + 28*r**4 - 8*r**2 + 13*r**2 wrt r.\nAnswer: 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774033 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (61 - (-1088)\/(-64))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 142*x**2 - 1982*x\/7 + 990\/7.\nAnswer: -2*(x - 495)*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -923*a + 8. Let p(v) = 2765*v - 22. Calculate -4*p(o) - 11*t(o).\nAnswer: -907*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 4*r - 3*o + 7*o, 0 = -4*r + 2*o + 246. Suppose 0 = 7*v - 2*v - r. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 less than or equal to 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/12 + l**3\/3 - 4*l**2 - 6*l. Let t be h(-4). Solve -2*f + t*f + 10 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28854 by 4809.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2536, 5071, 7606, 10141, 12676, 15211?\n\"Answer: 2535*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -4.062874.\nAnswer: 0.8125748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**(1\/4)*x)\/x))*x**(-4))\/((x\/(x\/((((x**(-6)*x)\/x)\/x)\/x)))\/(x\/(x\/x**(4\/9)))) assuming x is positive.\nAnswer: x**(169\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*h - 386*h - 384*h + 1159*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(192) + (-2 + sqrt(147))**2 + 1.\nAnswer: -20*sqrt(3) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9819*b + 978 - 1968 + 990 - 4526*b.\nAnswer: -14345*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3519*b*m**3*n*w + 2*b*m**2 - 5*b*m*n**2 - 419*b*n**2*w - b*n + b*w - 60468*m**3*n**2 with respect to w.\nAnswer: 3519*b*m**3*n - 419*b*n**2 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 871112736 a multiple of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*3\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 0, 809667 in decreasing order.\nAnswer: 809667, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*u - 266*u + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.377 from -41.9.\nAnswer: -42.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - 4*d**2 + 14*d + 10. Let a(c) = c**3 + 2*c**2 - 8*c - 5. Give 7*a(k) + 4*p(k).\nAnswer: -5*k**3 - 2*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34426343 is divided by 2459024.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 183*x**2 - 9*x - 10. Let u(f) = -62*f**2 + 3*f + 3. What is 2*i(o) + 7*u(o)?\nAnswer: -68*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*d + 5*d - 111, 4*d - 112 = -a. What is the remainder when a is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667594 is divided by 78455?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*l**5 + 34560*l**4 - 34560*l**4 - 30*l**2 wrt l.\nAnswer: 5040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/5*(-160)\/(-192) + -4. Which is the closest to 3? (a) -3\/5 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122131322 + 2?\nAnswer: 122131330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 7*q - q - 20*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-2*sqrt(847))**2 - (sqrt(448) - sqrt(448)*2)) + (sqrt(126)\/sqrt(27))\/sqrt(6) + 4).\nAnswer: 25*sqrt(7) + 10176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444649608 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 33\/5, -0.3, -11, 1\/5, 46.\nAnswer: -11, -0.3, 1\/5, 0.3, 33\/5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8 = 4*v, 5*v - 2 = -b - 4. Let i be (2\/(-6))\/(-4*1\/3). Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 6 + 154*h**4 - 2*h**2 + h - 3*h - 159*h**4 as t*h**4 + k*h**2 + v*h**3 + n*h + w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8879 is divided by 76?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 2516?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7039385 times -0.3\nAnswer: 2111815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211969903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 50 = 2*c, k + 5*c - 7*c + 28 = 0. Is -22 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1851 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7155 in 2, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1604677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*3\/(-3) - -33. Let c = 5 + d. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 18*d**2 - 9*d - 30 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3\/3 + 13*x**2\/3 + 347*x - 351 = 0.\nAnswer: -27, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 - 100*l**4 - 464*l**3 - 636*l**2 - 270*l = 0. What is l?\nAnswer: -45, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/9 - 680*x\/9 + 57800\/9 = 0. Calculate x.\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*h*t + 784*h - 2*t**2 wrt t.\nAnswer: 55*h - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**4 - z**4 + 0*z**4 + (-6*z + 0*z + 11*z)*(18*z - 2*z**3 - 18*z) in the form r*z + k*z**4 + c*z**3 + s*z**2 + l and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078179500.\nAnswer: 2, 3, 5, 103, 13451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 + 564 = 11*y. Is y equal to 71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/7*28\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 9*p**8\/56 + p**7\/105 + 35*p**4\/24 + 2*p**2 - 105. What is the second derivative of g(u) wrt u?\nAnswer: 1080*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*g**2 + 1233 + 670 - 431 + 398 + 190*g**2 - 4685*g = 0.\nAnswer: 2\/5, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 + 2*a. Let l be d(-3). Solve -l*u + 7*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1177*a + 2*a**3 + 386*a + 413*a + 58*a**2 + 378*a.\nAnswer: 2*a**3 + 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12\/5)*j**17*j*j assuming j is positive.\nAnswer: j**(83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50c + 5?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 576, 967?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 7060*s**3 - 7112*s**2 - 84768*s.\nAnswer: 4*s*(s - 4)*(s + 3)*(s + 1766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 80. Let g = x - -68. Solve -3*r - 1 = -g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 952935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 15*m**2 + 15*m**2 + 17*m**2 - 17*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -4, 0.5, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -33. Calculate the remainder when 69 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + k**3 - 4*k**3 + 2*k**3)*(-k + 0*k + 2*k).\nAnswer: -3*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 2)*(-f - 3*f + 2*f) + 3*f - 4*f + 2*f + f + 0*f + f)*(-4 + 0 - 4 + 2 - 4 + 3 - 3 + 4 - 2 + (1 - 2 + 0)*(3 + 1 - 2)) as s*f + x and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 15. Let r = 7 - l. Let a(p) = r + 4*p**2 + 4 - p**3 - 3*p + 2*p**3. Give a(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 2*d = 6*d - 12, -4*q - l*d + 129 = 0. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3 - 618*w**2 - 41892*w + 375712 = 0.\nAnswer: -199, -118, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfo when three letters picked without replacement from {r: 2, f: 2, o: 1, n: 1, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 83\/7, 0.4, -2, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/((-80)\/(-70))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37786\/23 + -113450\/69. Let g = 0.18 - 2.88. What is the second smallest value in g, q, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - 1. Let o(p) = -22198*p**2 - p - 1. Let q be o(i). What is q rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 7*j - 3. Let m be t(-6). Suppose m*f = -f + 56. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*o = 12, -2*q + 0*o = 3*o + 1. Which is greater: -4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -9\/5*f + 16\/5*f**2 + 6\/5*f**4 - 1\/5*f**5 + 2\/5 - 14\/5*f**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4023430 (base 5) to base 11.\nAnswer: 442a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**3*r**3 + 1449*d**3*r**2 + 34*r**4 wrt r.\nAnswer: 90*d**3 + 816*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 2921*n**2 - n**3 - 2453*n**2 + 0*n - n + 4388*n**2 to the form a + p*n**2 + f*n + j*n**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)\/(31\/62) + -3. Let h(g) = -g**3 - 5*g**2 + 3*g + 5. Determine h(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 396.51 - 396.51. What is the closest to 2 in -1\/43, 5, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:49 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + s - 20. Let o be s\/(-6) - (2 + -1). Suppose -5*d - 4 = 1. What is the closest to d in -2\/13, o, -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-11))\/((74880\/(-286))\/48)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*0\/(-3). Let x(o) = o**3 + o**2 + 17. Let a be x(n). Solve 6*z + a = w + z, -w + 2*z = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 1467895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcock. What is prob of sequence cc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -565*f + 441*f**3 + 565*f.\nAnswer: 441*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 1814900*o + 1814895.\nAnswer: 5*(o + 1)*(o + 362979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 459\/79700?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000180800793 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + -6 + (3 - -5) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -747, -1489, -2231, -2973, -3715?\n\"Answer: -742*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2752.3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*g = 20, 3*u - 5*g = 7*u + 15. Solve -u*d - 5*h = -7*d - 6, 3*d = 2*h + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 10*w + 3. Let n be p(6). Let f be 10 + n\/3*(-6)\/15. Suppose -f*y = -3*y - 90. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317369.\nAnswer: 13, 24413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybnlllnzlnbnzllyl. What is prob of picking 1 n and 1 l?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 + 12*y + 10. Let t be c(9). Suppose -56 = -3*g + t. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89709594 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 926358, 1852615, 2778872, 3705129?\n\"Answer: 926257*i + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -6*v + 14 + 40, 2*v + 5*n = -227 + 92 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*-475*(-26)\/1482?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/343613, 1.3 in descending order.\nAnswer: 1.3, 2\/343613, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -23*r + 52. Let k(x) = -52*x + 90. Let v(q) = 2*k(q) - 5*l(q). Calculate v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -5. Let j = f + -4. Let i = j - 0.1. Which is the nearest to i? (a) -2 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a - -1221d?\nAnswer: 12103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = o + 45, -v + 123 = -5*o - 66. Which is smaller: o or -35?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276, -234, -154, -30, 144, 374, 666, 1026?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sww when three letters picked without replacement from wwwwwwwwwwws.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -55895, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 1. Let q = -120 + 118. Let n = q + 3. Give a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/255 and 7\/6559025.\nAnswer: 19677075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 79 = -r, -153*t + 155*t - 8 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/2145 and 59\/1105.\nAnswer: 36465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - 0.2. Let i = 1.9 + -29.9. Let n = -28 - i. Sort a, 3, n in decreasing order.\nAnswer: 3, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5173*w**2 - 15529*w**2 + 5173*w**2 + 494*w + 5177*w**2 - 494*w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 592 = 7*u + 548, -5*v = -u + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 13, 158, -3 in increasing order.\nAnswer: -3, 3, 5, 13, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 707250 divided by -47150\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-288)*-6*12. Put -2, v, -4, -328 in increasing order.\nAnswer: -328, -4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 + 593*w**4 + 88208*w**3 + 87616*w**2.\nAnswer: w**2*(w + 1)*(w + 296)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0551 + -0.1551. Which is the closest to h? (a) -1 (b) 0.11 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jsssssjjejsesj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 3*b**5 - b**5 + (2*b**2 + 0*b**2 - 3*b**2)*(0*b**3 - 4*b**3 + 5*b**3) - 3*b**5 + 0*b**2 + 0*b**2.\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77783678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1105.76467 - 1105.7. What is u rounded to three dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/20160 - t**5\/60 + 2*t**2. Let f(n) be the third derivative of b(n). Let k(v) = -2*v**2 + 0*v + 0*v. Determine k(f(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -33, -69, -123, -201, -309, -453, -639?\n\"Answer: -v**3 - 17*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b + 1172 = 27*b + 232. Solve 6*p - b*p = -3*d - 31, -3*d + 3*p - 27 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (155 + -66 - 94) + (2 + -1 - 25)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/28*7 + (-5 - -5) + 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2628777.\nAnswer: 3, 131, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -31. Let t(q) = -6*q + 12. Suppose 2*x = 2*x + 2*x. Let u be t(x). What is the highest common factor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {k: 2, m: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -1.39?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3619349 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 8. Let g(t) = -t**3 - 17*t**2 - 33*t - 36. Let p be g(-15). What is c(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jry when three letters picked without replacement from jjrjrjy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -19.4. Let i = 1.7 - f. Let w = 0.06 - -5.94. Which is the second smallest value? (a) -4\/3 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 3*h - 2743. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f + 3. Suppose -h - f = -v, -6*h + 2*h + 9 = 3*v. Solve -3*p = -h*p + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 divided by 7?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20419, -40872, -61325, -81778, -102231, -122684?\nAnswer: -143137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35890908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - r + 33. What is the remainder when o(0) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155860.\nAnswer: 2, 5, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/35 (b) 2\/2317 (c) -1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656.732 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/11)\/w)\/w*w*w**(3\/4)*w*(w\/(w*w*w**2))**(12\/13))\/((w\/(((w*(w\/w**(2\/7))\/w*w)\/w*w)\/w))\/(w**(-10\/9)\/w*w))**(-28) assuming w is positive.\nAnswer: w**(189077\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + (-6)\/4. Let g = 6 + f. Solve -g*m + 2*m - 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -83.8. Let v = o - -9. Let i = 1 + 2. Which is the smallest value? (a) i (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8065733 (base 10) to base 12.\nAnswer: 284b805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(6380\/(-1200)))\/(51\/(-374)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/15 + 24*g**2\/5 + 38*g - 1444\/15 = 0. Calculate g.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y - 178*y + 528 = -171*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k**4 - 3*k**2 + 2502*k + 4052. Let w(p) = -18*p**4 - 7*p**2 + 5002*p + 8106. Let u(h) = 7*n(h) - 3*w(h). Find the first derivative of u(r) wrt r.\nAnswer: -8*r**3 + 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2315600 and 18194?\nAnswer: 25471600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3\/n**(-2\/9))\/((n*n\/(n**3*n*n))\/(n*n**7)))\/(n\/n**8*n\/((n\/(n\/(n*n**(2\/19))))\/n)*(n*n\/(n\/n**(1\/2)))**(-32)) assuming n is positive.\nAnswer: n**(11684\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 5*h - h**2)*(4*h - 2*h - h) - 2*h**3 - 4*h**2 + 4*h**2 - 90100 + 90100 - 359*h**3 to j*h + w*h**3 + d*h**2 + o and give w.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, -275, -701, -1199, -1793, -2507?\nAnswer: -3365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**7\/2520 - t**6\/120 - 11*t**5\/120 - 5*t**4\/6 - 6*t. Let k(w) be the third derivative of q(w). Is 29 a factor of k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9811142 days?\nAnswer: 84768266880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 15*p**2 + 12*p - 15. Suppose 102*s - 182 = 115*s. What is d(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 8:49 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 5*z - 3*z - 1748 - 1703 + 8*z.\nAnswer: 2*z - 3451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, q: 1}. Give prob of sequence qpj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*-1)\/5)\/((-96)\/(-9600)*-32)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 36. Which is the closest to 0? (a) k (b) -2\/9 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, q: 3, d: 9}. Give prob of picking 2 d, 1 q, and 1 m.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/779416 and 97\/1056?\nAnswer: 9352992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 35047222 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/(4\/10). Let a = x + -1\/6. Let o = 24 + -21. What is the second smallest value in o, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - 3*j**5 + 3*j**5)*(8 - 10 + 1).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjwj when four letters picked without replacement from {j: 3, w: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 3*f - 10, r - 3*f = -10. Suppose -t + 4 = -3*g, 6*t - 5*t = -2*g - 1. List the prime factors of 14 - (r - g - 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 221 + -37017?\nAnswer: -36ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-21) + (-200)\/(-3). Let y = x + -61. Solve -y*f = 3*n - 9 + 43, 4*f + 4*n = -32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100101111001 + 10110101101?\nAnswer: 1011111100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + i**3 + 32 + 30 - 2*i**2 - 6*i - 64 to l*i**3 + x*i**2 + v + u*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1743 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h - 36 = -28*h. Is (6\/h)\/(2 - 680\/336) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 43. What is t(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 10:27 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-2\/3)*m)*m)\/m**(2\/11))**46*(m\/m**4*m**(-9)\/m)**24 assuming m is positive.\nAnswer: m**(-11584\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/4 - 21*z**3\/4 - 27*z**2\/4 + 21*z\/4 + 6 = 0. What is z?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:53 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-82)\/(-8) + (-8)\/32. Suppose -w*t - 27731 = t. Let z = t - -5228. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l + 19. Let d(n) = -9*n + 18. Let j(t) = 4*d(t) - 3*q(t). What is the derivative of j(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3 (c) -32 (d) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3 + 388*c**2 + 3280*c - 73600 = 0. Calculate c.\nAnswer: -184, -20, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-1)\/(-1))\/(-1). Let p(z) be the third derivative of z**6\/360 + 11*z**4\/24 + 6*z**2. Let w(i) be the second derivative of p(i). Give w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 993330 by 25470.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 2, 5, -5, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f - 1. Let j be p(1). What is the highest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1143 - -1603. Differentiate -g*o**3 + 636*o**3 - 298 + 35 wrt o.\nAnswer: 528*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -128 + 5 - 0\/(-4). Let x = 87 - v. List the prime factors of x.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-10)*(-10)\/3. Suppose 4 - 8 = -4*c. What is the nearest to 1 in c, -1, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 6)*10\/(-4). What is the smallest common multiple of 129 and 356\/(-89) - -1*o?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 63*m - 571. What is u(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170 times -49?\nAnswer: 57330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a**2 - 163776*a + 98271 = 0. Calculate a.\nAnswer: -10919, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u. Let m(x) = 19*x + 19*x - 36*x. Let r(s) = -s**2 - 2*s + 6. Let z be r(-3). Give z*v(q) - 10*m(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 813983.8ms in microseconds?\nAnswer: 813983800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 495*m = 498*m - 33, -3*m + 137 = -13*w + m for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 1701*c - 38. Calculate h(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/30*-2)\/((-12)\/1050*-7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 456060 at most as big as 1.52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20949 + 20902. Which is greater: -162 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3*g**6\/10 - g**3 - 7*g - 10. Let h(n) be the first derivative of k(n). Find the second derivative of h(s) wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**3 + 6*f**2 - 7*f + 2. Let r(w) = 6*w**3 - w. Let j(i) = -b(i) - r(i). Calculate j(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -253 and -0.294.\nAnswer: 74.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -39*w**6\/40 + 97*w**4\/24 - w**3\/3 - 410*w**2. What is the second derivative of j(v) wrt v?\nAnswer: -702*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -3*m - 91. Suppose -2*j - m*l = -15*l + 2, -3*j = -l - 1. Let u(p) = -5*p**3 + 2*p - 1. Give u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 536\/3. Factor 1\/3*s - j*s**3 - 1\/3 + 1\/3*s**2.\nAnswer: -(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2285, 2201, 2117, 2033, 1949?\n\"Answer: -84*a + 2369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-44) + (-8)\/32. Suppose -5*u + 28 = -2*l - l, 8 = 2*l + 2*u. Do b and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/10*(-13 - -43). Suppose 0 = -3*z + j. Calculate the remainder when 46 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q. Let w(u) = -u**3 - 3*u**2 + u + 3. Let s be w(-3). Let n(b) be the first derivative of 1\/2*b**2 + s*b - 2. Give n(a(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 3*p**2 + 0*p**2 + (3*p - 3*p + p)*(-1 + p + 1) + p - p + p**2 + (2 + p - 2)*(106*p - 134 + 134) to h + m*p + x*p**2 and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -4 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 + 6*d - 6. Suppose 3*y - 3*z + 4 - 127 = 0, -2*y + 5*z = -88. Let x = -34 + y. Let l(p) = -5*p**2 + 5*p - 5. What is x*n(w) - 6*l(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*w + 5, -12 = 3*w - z + 7. Let r(u) = -3*u - 12. Let g be r(w). Factor 12*y + 2 - 7 - 3*y**2 - g*y - 1.\nAnswer: -3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*w + 2*p - 1350 = 129*w, -3*w + 4*p = -1332. Calculate the highest common divisor of w and 2408.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**2*v + 9*d**2 + 5105*d*v - d + 30*v - 132777 wrt d.\nAnswer: -4*d*v + 18*d + 5105*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 390*p - 2*p**3 - 776*p + 384*p - 7*p**2 to the form l*p**3 + r + o*p**2 + k*p and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 4*d + 3. Let o be q(6). Suppose 5*s = -o + 301. Suppose -5*a + 60 + s = 0. Calculate the lowest common multiple of a and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610216 by 83.\nAnswer: -7352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10180398 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12313012?\nAnswer: 2, 137, 22469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose -d*c = -4*m + 36, 3*c = 7*c + 20. Suppose 7 = m*k - j, 4*j + 8 = -5*k + k. Let v(z) = 9*z - 1. Determine v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + 0 + 0 + (-c - 4 + 4)*(0 + 0 - 1) - 40 + 36 + c - 2*c to q*c + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -3*o + 15, o + 2*v - 3*v - 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -48*s - 15 + 29 + 49*s + 12. Calculate r(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**3*w + 45*k + w + 112 with respect to k.\nAnswer: 15*k**2*w + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s - 417 + 3327 = -1115. Calculate the least common multiple of 46 and s.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + t. Let p(a) be the first derivative of 9 + 2*a + a**2 + 4\/3*a**3. Determine p(c) - 3*s(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11837, -47735, -107561, -191309, -298973, -430547, -586025?\n\"Answer: h**3 - 11970*h**2 + 5*h + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -44168.\nAnswer: -44171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1905.906 to the nearest integer.\nAnswer: -1906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 17 - 10)*(7*l - 27*l - 37*l)*(-4*l + 2*l + l)*(0 + 0 + l).\nAnswer: -114*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, -28679, 6, -3 in increasing order.\nAnswer: -28679, -3, -0.1, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*y - 2*l, -9 = -5*y + l - 1. Let q(s) = 14*s + 16. Let k be q(-1). Find p, given that 8*p - 3 + 0 - y - 2*p**2 - k = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, h: 2, c: 3, l: 2}. Give prob of picking 2 j and 1 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86565.2 years?\nAnswer: 1038782.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.51 - 0.11. Suppose -3*f + 0 = -15. What is the second smallest value in s, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)\/c)**(-24\/13)\/((c*c**9)\/c**9) assuming c is positive.\nAnswer: c**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30654 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x + 37. Let z be s(-8). Let u(a) = a**3 + 21*a**2 + 3*a + 78. What is the tens digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -136*c + 0 - 1\/3*c**3 + 1\/20*c**5 - 17\/2*c**2 + c**4. Determine b(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69788.9998 + 70019. Let g = -230 + t. Round g to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**5)**(1\/31)\/(((l**(1\/4)*l)\/l*l)\/((l*l**(-2\/43)*l)\/l)))**(-21\/4) assuming l is positive.\nAnswer: l**(47649\/21328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/((15\/24)\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -596\/3399 - 2\/309. Let s = -4 - -3.8. Let c = 0.3 - 0.4. What is the closest to c in 0.3, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35814\/43 less than or equal to 832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1575)\/3375)\/((6\/(-90))\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287\/5 - 57. Let u be 3*(-4)\/15 - (-128)\/110. Which is the closest to 2? (a) u (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3427 and 230.\nAnswer: 34270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13693 = -4*k - 2*u + 22199, u + 26924 = 3*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/11 + -5*(-567)\/(-105)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, k: 2, a: 4, g: 1, s: 3}. Give prob of picking 1 s, 1 a, and 1 z.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-26 + 43)) + (23 - (0 - 3)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g. Suppose g = -7*r - 9 + 142. Let h = 22 - r. Solve -h*c - 4 = 2*z - 0, 3*z = c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4775 - 44129 = -6*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*g - 201, 2*g + 49 = b - 27. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 627332618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81033*o - 140 = 81103*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**3 - 5*p**2 + 6*p - 5. Let m(x) = -x**3 - x**2 + x - 1. Let i(j) = -l(j) + 5*m(j). Find the second derivative of i(q) wrt q.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8))\/(9\/(-18))*6. Let v(h) be the second derivative of 0 - 11\/36*h**4 + 2*h - 1\/9*h**z + 0*h**2. Determine w, given that v(w) = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*(-35)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 - 19*y + 6. Determine p(9).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10997?\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 18*s = 10. Suppose 0 = -4*y + 2*y + 44. Solve 0 = 4*j + 2*c + 2*c + 12, -2*j + s*c = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44833*c**2 + 117*c - 117*c.\nAnswer: 44833*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - 0.6. Let x = u - -1. Let w = 0.2 + -0.1. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 - (3 + -1). Let b = d + 4. Factor -3*p**3 + 3*p**2 + 3*p**5 + 10*p**4 + 9*p**4 - 22*p**b.\nAnswer: 3*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52079995 and 31020.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -c + 18, -4*c - 4*d = -8. Suppose 12 = 3*i, -v - c*i + 34 = 6. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 55*u + 0*u - 54*u + 13. Determine m(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 + 0 + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 11 = 2*q + 1, 4*q + 2*f + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 669*g**2. Let h(m) = 7008*m. Calculate h(k(u)).\nAnswer: 4688352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3558 or -0.034?\nAnswer: 3558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.641502 and -3?\nAnswer: -49.924506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -34*o**3 + 2*o**2 - 1. Let f = -53 + 56. Suppose 27 = -f*j + 24. Let s be d(j). Solve 2*v - s = -5*g, v = 4*v - 3*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 2*w - 73, 5*w = -3*s + 169. Let i(m) = m**3 + 11*m**2 + 8. Suppose 0 = -5*k - 3*k - 40. Calculate the remainder when i(k) is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 - 2*d - 22. List the prime factors of k(18).\nAnswer: 2, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/5*10\/4. Let j = -9 - -16. Suppose 0 = -5*f + 4*z + 25, j*z + 24 = w*f + 3*z. What is the nearest to -2\/5 in f, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -12 - (-6 + (-6 - -10) + 9 - 45).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -9. Let z = l + -10. Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*s + 13, -17*s + 16*s - 4*j = 19. Which is the nearest to -1? (a) -2 (b) s (c) 0.2 (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -480 - -3839.\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*c = 272 - 320, -26 = -h + 4*c + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2219299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*f = -157*f - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = 2*s, 4*j - 59 = 5*s - 79. Solve s = -4*o, 0 = 4*f + 4*o - 3 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 488\/5 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)*-3 + ((-2*sqrt(130) + sqrt(130) - sqrt(130))*-5 - sqrt(130)))\/((sqrt(250) - (sqrt(250) - sqrt(250)*2)) + -1*sqrt(10)*1).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -4 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 9688718.449?\nAnswer: 9688718.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217\/4 - 54. Factor 1\/2*s - 1\/4*s**2 - t.\nAnswer: -(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-2)\/4 - ((-111435)\/(-34))\/(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 3. Let b be w(7). List the prime factors of (128\/(-6))\/b*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230509 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 a factor of 49429436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 86. Is r(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800085677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16635553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 8*b + 8 - 20, 9 = 3*a - 5*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55009920 divided by -8.\nAnswer: 6876240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 5, d: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17224 - 103333\/6. Let z(j) be the second derivative of 21\/20*j**5 + p*j**3 + 42*j + 0 + 0*j**4 + 0*j**2. What is the second derivative of z(t) wrt t?\nAnswer: 126*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6128448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -44, -71, -120, -197, -308, -459?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 898555 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/435 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1246 + 13170. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10100100000?\nAnswer: -10100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/6 - 4*p**3\/3 + p**2. Is s(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270071*v + 18 = 270080*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 89, 86, 83, 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/16 of a week?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114555911 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -63652.855634.\nAnswer: -63642.855634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29\/2 of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-13)\/(-117))\/(15\/90)*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1158*n + 15400 = 812*n + 546*n for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 30. Calculate the lowest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*f - 6, 0 = -6*u + 3*u - f + 6. Suppose -2*z - 3*z + l = -21, -3 = 3*l. Let -j**u + 0*j**2 - 12*j + 0*j + z*j**2 + 9 = 0. What is j?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 - 14*d + 15. Let b be n(6). Suppose -24 = -b*j - 0*j. Calculate the remainder when 46 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11696 = 1368*q - 38808 + 28948 - 76940 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14342 (base 5) in base 9?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 44.\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 4, 3, 34, -5 in increasing order.\nAnswer: -5, -3, 3, 4, 20, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31670 or 31715?\nAnswer: 31670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*f + 34902 - 34812 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1451158 = 366158. What is n rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27659906 and 1942?\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 5*b**2 + 2*b. Let q be u(-3). Solve k - 5*k - q = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18044521268 rounded to six decimal places?\nAnswer: -0.180445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*4 + (-8)\/(-4) + 42\/(-12)*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -586 + 610. What is the second smallest value in t, 7, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 172 and -6.\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 147 = m + 5*f, m = 2*f + 133. Let q = m + 13862. Is q\/6 + (-3)\/18 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 635349591 to the nearest integer?\nAnswer: 25206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -43\/19 (b) -3 (c) 2\/9 (d) 0.2 (e) 1 (f) -0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -20. Which is the smallest value? (a) 1\/2 (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Let r be y(6). Let m(s) = -s - 18. Let a be m(r). Is ((-12)\/a)\/((-2)\/(-39)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 - 7*s - 12. Calculate c(-6).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104948*3\/(-6))\/1. Let u = a - 24474. What is u rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 3, x: 3, i: 1, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 19*d**2\/2 + 1. Let v(n) = -5*n**2 - 3. Let r(h) = -4*h**2 - 2. Let l(y) = -3*r(y) + 2*v(y). Calculate f(l(u)).\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 28. Let o = -3 - m. Suppose t - o = -4*t. What is the lowest common multiple of t and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/10) - (-90730)\/(-6330).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -86211.\nAnswer: -8\/28737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 23*b + 2803. Let v(u) = 30*u + 2804. Give -4*l(n) + 3*v(n).\nAnswer: -2*n - 2800","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 19*k + 0*k**3 + 19*k.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 863*r - 865*r - 14 = 0. Sort 2, r, 16.\nAnswer: r, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*v + 5*v**3 - 100*v)*(-4*v + 0*v + 2*v)*(5*v + 4 - 4).\nAnswer: -50*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 68*a - 175. Give r(19).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -248*s**3. Let a be p(-1). Let i = a + -105. Suppose 0 = 3*f + f - q - i, -4*f = -2*q - 146. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.101 + 1.801. Let k(b) = -2*b - 14. Let o be k(-6). What is the biggest value in -29, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:57 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.07913 decades to millennia.\nAnswer: 0.7107913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.028.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 937 + -931. Let c(d) = 2*d**2 - 6*d - 37. Let x be c(b). Let q(i) = -10*i**3 + i**2 + i + 1. Give q(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/8 + 6*w**3 - 108*w**2 + 864*w + 28. Factor i(u).\nAnswer: -(u - 12)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 + -236. Factor 2*z**2 + 340*z - 169*z - 2*z**4 + z**3 - 3*z**k - 169*z.\nAnswer: -2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-2*r + 2*r + r) - r + 2*r + 3*r to the form t + j*r and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 4*35\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + (5 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 42983617?\nAnswer: 42983616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + -1b86?\nAnswer: -1b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21 + 892*z**2 + 747*z**4 - 896*z**2 - 324*z**4 + 735*z**4 - z**3 wrt z?\nAnswer: 27792*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(((-4)\/(-18))\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7032\/7, -2\/9, -7, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7) - (sqrt(7) + 3*sqrt(7) + sqrt(7))*2) + 1 + 3).\nAnswer: -16 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45317281?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/58260526 and 34\/3.\nAnswer: 174781578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/4 + 5*l**3\/6 - 32*l. Factor v(s).\nAnswer: -5*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -1, -13, -27, -43, -61?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.82 + 0.7. Let n = 4.88 - y. Let c = -87 - -695\/8. Put c, n, 2\/3 in increasing order.\nAnswer: c, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 34 = -7*c - m, 26 = -5*c + m. Let v be (2 + 3\/2)\/(c\/(-36)). What is the derivative of -113*f**3 + 135*f**3 - v + 1 wrt f?\nAnswer: 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (42\/24)\/((-1)\/(-4)). Let n = y - 11. Suppose 3*d - 5*d + 4 = 0. Sort n, d, 3 in ascending order.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 5*f**3\/3 + 2*f**2\/3 - 20*f\/3 - 8.\nAnswer: (f - 2)*(f + 2)**2*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 11:16 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10429\/14 - -745. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 divided by -2?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 43 = 5*y, u - 2*u + 3*y + 19 = 0. Calculate the highest common factor of u and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 4:07 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpj when three letters picked without replacement from jjpdddpjjwawjwjwd?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -3\/7, 0.3, -26.8, -1?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 23*z**2 - 22*z + 26. Let a be 141\/(-6) - (-9)\/6. What is the tens digit of j(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/37825395 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/(-648)*3\/16*-4)\/17?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 19*h**2 + h - 16. Let g be b(19). Solve g*l + 2*l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140\/6 - 2\/(-3) is divided by 18\/(-45) - 4968\/(-270).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 + (76 - (160 - -113)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2602453 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 8 = -10*a. Find the first derivative of -5 + 5 - 3*l**4 + 13*l**a + 4 wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/21 and -52\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 111101000100 (base 2) to base 7\nAnswer: 14252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/30 - v**3\/3 + 5*v**2. Factor q(c).\nAnswer: 2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/10, -1, -1\/7, -8\/7 in decreasing order.\nAnswer: 9\/10, -1\/7, -1, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 420304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a39b44 + 1?\nAnswer: -a39b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -10*o**3 + 2*o**2 + 2*o + 2. Let z be p(-1). Let b = 0.02 - -0.08. Let t be (3*4\/(-40))\/((-3)\/4). What is the nearest to b in t, z, -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(0\/2 - (1 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -532626.987 and 1009.16?\nAnswer: 533636.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:29 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -1)**2 - (sqrt(5) + (sqrt(5) + 1)*3).\nAnswer: -20*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 661*t**3 + 3537?\nAnswer: 1983*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 56, 20 in ascending order.\nAnswer: -2, -1, 20, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 654436 (base 7) to base 8\nAnswer: 337412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -137.\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t**2 - 34*t + 3. Let s(b) = 27*b**2 - 96*b + 10. Determine -17*d(a) + 6*s(a).\nAnswer: 9*a**2 + 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/4*92\/(-1288)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.1, -0.04, 8, 16, -37?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 5*c**4\/12 + 305*c**3\/2 + 836*c. Factor j(q).\nAnswer: 5*q*(q + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -161, -160, -159?\n\"Answer: j - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -4, 10\/17, 0.2?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 3, o: 1, q: 1, g: 1}. Give prob of picking 1 w, 1 g, and 1 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 1152?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171844908?\nAnswer: 2, 13, 37, 609067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**3 + 30*u**2 - 42*u + 22. Let d(s) = 8*s**3 - 61*s**2 + 83*s - 45. Let a(c) = 2*d(c) + 5*v(c). Solve a(f) = 0 for f.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c*c)**49*(c**0*c)\/c**(1\/7) assuming c is positive.\nAnswer: c**(3111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, f: 12}. What is prob of picking 2 f?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414 - 6171 = -246*x - 1681 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-11)*b*b)\/(b\/(b\/b**2)))\/((b**(1\/8)*b)\/(b\/(b**(-1\/5)*b)*b)))**26 assuming b is positive.\nAnswer: b**(-5681\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**4 - l**3 - l**2 + 1. Let i(f) = 5*f**4 - 7*f**3 - 2*f**2 + 46*f + 2. Let o(t) = -i(t) + 2*y(t). What is the second derivative of o(c) wrt c?\nAnswer: -36*c**2 + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-10) - (-23)\/(-115)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 419*t**2 + 400*t**2 + 400*t**2 - 375*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3523 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.9 - -1.9. Let a = -4.4 - k. What is a rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t**3 - 2*t**2 - 20*t - 18. Give f(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 3*b - 54, -3*b - 96 = -4*v - 29. Suppose i + 5 - v = 2*s, 6 = 3*i. Let k be s\/(-9) + (-4)\/(-6). Solve -7 = 2*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-10)\/75).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3430 + 24008\/7. Put -0.08, k, -1, -0.3 in increasing order.\nAnswer: -1, -0.3, k, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 5, 3\/2, -0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 156 - 172 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 1. Let j(i) = i**3 - 3*i**2 - 2. Let y(m) = 2*a(m) - j(m). Suppose -4*l + 5*x + 2 = 0, -7*l + 2*x + 5 = -4*l. Determine y(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 30. Let t = n - 4. Suppose -t = h - 14. Solve w - 14 = -h*i + i, -i + 12 = 4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 2)\/2 + 28. Let a be (36\/21)\/(2\/14). Let j = n - a. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2685270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-65)*65*((-251)\/(-35) + 6\/14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13860 - -20776143\/1499. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 5*m = -1 + 8, 0 = 2*m - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -1010?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = -t - 2*q, -3*t = 3*q - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1390694 divided by -6.\nAnswer: -695347\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*j - 4 = 0, -5*c + 4*j + 0 = -31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1860007972 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2853*p**4\/7 - 5766*p**3\/7 + 2973*p**2\/7 - 60*p\/7.\nAnswer: 3*p*(p - 1)**2*(951*p - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.037? (a) 311\/5 (b) 0.06 (c) 857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -0.89 (c) 7 (d) -0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 + -0.3. Let g = 9111 - 9110. Let z(b) = b**2 + 8*b - 2. Let l be z(-8). What is the second smallest value in g, u, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 7 = 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.01416.\nAnswer: 0.00708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5044\/7575 + 2\/2525. Which is the third smallest value? (a) p (b) 6 (c) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*f + 3*d - 18, -2*d = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1309)\/49 + 730\/1022.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 955596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49.88 (b) 0.08 (c) -1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-48)\/21 - 4\/14. Let y be 702 - m\/(3 - 0 - 1). Suppose 5*t = i + y, -2*t + 407 = t + 2*i. List the prime factors of t.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427309 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2976, 131\/5, -2.\nAnswer: -2, 131\/5, 2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71732 divided by -2.\nAnswer: -35866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/9 (b) 0.02 (c) 4 (d) -2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 472, 695, 900, 1081, 1232, 1347, 1420?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*a, 3*q + 22 = 3*a - 5. Is q not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) 9.33 (b) 4 (c) 4\/3 (d) -197\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*f + 62. Let u = f + -521\/6. Let m = 264.9 - 265. Put m, u, 0.4 in decreasing order.\nAnswer: 0.4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 12306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {w: 4, y: 1, d: 1, q: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 4214320?\nAnswer: 4214324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 2*v - 5. Let t be q(5). Suppose 5*z - 4*f + 36 = t, -4*z = -5*f - 48. Factor -z*x**3 - x**3 - 4 + 12*x + 2*x**3.\nAnswer: -4*(x + 1)*(2*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**(-1))\/p))**(-24)\/((p\/(p**(-2\/5)\/p))\/(p*p\/p**(2\/11)*p)) assuming p is positive.\nAnswer: p**(-2617\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*b. Suppose b = -10*h + 5*h + 10. Suppose l = t + 3 + 1, -h*l + 3 = 3*t. Solve -2 + 15 = -l*r + 4*c, c - 7 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t + 1. Let n(g) = 17*g**2 + 16*g - 13. Let k(o) = n(o) - 6*q(o). Is k(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -6.7. Let z = -6.1034 - h. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.749 rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.7 + 29. Let q = v - 3. What is the closest to 0.1 in -1, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/600 and 19\/580350?\nAnswer: 2321400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 98688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3132234*g**3 - 161568*g - 1529599*g**3 - 184999*g**2 + 13935742*g**4 - 751538*g**2 - 6647277*g**3 - 1525071*g**2 - 3456.\nAnswer: 2*(g - 1)*(191*g + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241843 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.73 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*q**2*z**2 - c*q**2 - 75*c*q*z**2 - 2*c*q*z - 3*q**2*z**2 + 29*q**2*z + 8*q**2 wrt z?\nAnswer: 2*c*q**2 - 150*c*q - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 5*b**2 - 3*b - 3. Suppose -2 = 2*x, -5*m - 4*x - 11 = 23. Determine y(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256160402*n**5 + 447669144*n?\nAnswer: -5123208040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*a + 4, -215*o + 207*o - 2*a - 26 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -318*p + 166*p - 344*p - 352*p as g + b*p and give b.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbb. Give prob of sequence bdb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -149791?\nAnswer: -149791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 5:14 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*c + 3*c - 6, -3*c + 1 = -2*z. Let d = 11 + c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 0.19752.\nAnswer: 0.0118512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 4:55 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1\/(-6)*-2 - 1015\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -873*v**3 + 2*v**2 - 358*v + 463623853?\nAnswer: -2619*v**2 + 4*v - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2*o - 1. Let i be (-8)\/3 - (-1)\/(-3). Let x be t(i). Solve -x - 2 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-67 + 146 - 69 + 6*p)*(2 + 3 - 2).\nAnswer: 18*p + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 c when three letters picked without replacement from {m: 6, d: 2, c: 2, a: 1, w: 1, n: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12844*m**3 - 4*m**2 - 62*m - 2 wrt m.\nAnswer: 77064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + 22 + -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (31 + (3 - 17) - 23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 215 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - -14)*(5 - 98\/21). Let o(s) = -57*s**3 - 2*s**2 + 2*s + 2. Let v(t) = 115*t**3 + 5*t**2 - 5*t - 5. What is j*v(d) + 5*o(d)?\nAnswer: -55*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 64 = 8. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67762838501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:29 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 260, 766, 1668, 3098?\n\"Answer: 22*v**3 + 88*v - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 5984*n**3 + 18134*n**3 + 4*n**2 - 5991*n**3 - 6182*n**3.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2 - 98*x - 2401 = 0. What is x?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24933.7983 - -24933. Round k to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 0. Let y(p) = -p**2 - p + 4. Let a be y(h). Find x, given that -2*x**4 - x**4 + 0*x**4 + 2*x**2 - x**2 + 2*x - a*x**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(84)*2*5)\/((((sqrt(72) - 1*sqrt(72)) + sqrt(72))*5)\/sqrt(6)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75145.\nAnswer: 5, 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (-75 + 63 - (-18 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2)*3)\/(2716\/776).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -437 + 628. Let y = v + -13. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(108\/96).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9059\/3 + -3020. Let s = 7\/26 + 3\/13. Which is the nearest to s? (a) -10\/11 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*23*((-2*(-39)\/104)\/3)\/(-1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 4\/5 (c) 4 (d) 0.2 (e) -10 (f) -72 (g) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163\/6564 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + -4 + -1*-2*sqrt(425) + (-3*(1 + sqrt(425)))**2)*-2 + 2).\nAnswer: 800*sqrt(17) + 30592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 18*d**2 + 20*d - 9. Let k be i(8). Let p = k - -1447\/3. Let q be (-6)\/2 - (-12 + 17). Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -856554*l**4 - 7*l**3 - l - 14606249?\nAnswer: -3426216*l**3 - 21*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**3*w**2 + l**3*w - l**3 - l**2 - 2*l*w**2 - 2*l + 22*w + 1 wrt l.\nAnswer: -36*l*w**2 + 6*l*w - 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let l be d(-1). Let f be (-14)\/7 - (l + (-5 - 1)). Put f, -6, -5, 4 in increasing order.\nAnswer: -6, -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44129? (a) 2\/11 (b) 0.2 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i + 95. Let c be a(10). Sort -4, 3, c, 1 in decreasing order.\nAnswer: c, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -22*q + 50*q - 14*q + 6 + 10. Let g(o) = -7*o - 8. Let j(w) = 9*g(w) + 4*t(w). List the prime factors of j(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 21*g - 25*g. Let x(c) = c + 20. Let s be x(g). Let a(j) = j**2 - 3*j - 2. Let u be a(-2). What is the greatest common divisor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 5*q**2 - 6*q + 4. Let k be j(6). Let f(v) = v**3 + 2*v**2 + v. Let z be f(-1). Let l = k - z. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 7*w**2 + 6*w**2 to the form l + z*w**2 + c*w and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155515254 * 0.4.\nAnswer: -62206101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 930477 and 0.4?\nAnswer: 372190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 353117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/24*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21618, 43232, 64846, 86460, 108074, 129688?\n\"Answer: 21614*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75701 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10542)\/770)\/(28\/(-50)). Let o = -4\/77 - u. Calculate the common denominator of o and (-2)\/(-12)*(-486)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(63)\/((sqrt(135)\/sqrt(3))\/sqrt(5)))*5 + 5.\nAnswer: -15 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 85*a**3 - 296*a**2 - 13*a + 12890. Let y(t) = -14*t**3 + 47*t**2 + 2*t - 2149. Let l(u) = -2*i(u) - 13*y(u). What is the derivative of l(q) wrt q?\nAnswer: 36*q**2 - 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 + 205*w - 211. Give c(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -q - 6, 0*q = 2*i + q - 6. Suppose k + k = 4. Sort 5, i, k in descending order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 51 - 9 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10121102021212 (base 3) to base 11.\nAnswer: 109a6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7874 divided by -442?\nAnswer: 3937\/221","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 136799147029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r**3 + 3*r**3 + 13*r**3 - 38 + 2*r - 22*r**2. Let a be z(22). Suppose -a*v = -2*v - 376. What are the prime factors of v?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - y + 5. Let w be u(-3). Does 22 divide 7\/(w\/440) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 234*o**3 - 260*o**2 - 65*o. Let h(x) = x**3 + 4*x**2 + x. Determine -d(s) - 65*h(s).\nAnswer: -299*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 827.247 and -2.\nAnswer: -1654.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + 66*q - 342. Let c be x(6). Let l = 17 + -66. Let i = l + c. What is the lowest common multiple of 1 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*q, 257*o - 255*o = -2*q + 2 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 8*l**2 + 10*l + 22. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1374960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664417 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/12 - 5*p**3\/3 + 76*p**2. Give x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.004, -5, 2\/11, 0.2.\nAnswer: -5, -0.004, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.1 - -45. Let p = 2.1 - g. Put -1, p, -0.3 in ascending order.\nAnswer: -1, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16425, -16689, -17123, -17721, -18477, -19385?\nAnswer: -20439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63957540 and 23451098.\nAnswer: 703532940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 30 + 35 = 0. Let g = 98 - i. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 + 96\/(-5). Let w = -1656\/85 - f. What is the second smallest value in 2\/3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 353 - 221. Suppose z = 14*h - 10*h. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10739 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -390, -1458, -3598, -7182?\n\"Answer: -62*l**3 + 22*l**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 8 = 0. Calculate the common denominator of (1\/m)\/((-54)\/228) and 39\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2148 - 2126. Let v = 0 + -1. Let h(p) = -40*p - 2. What is the remainder when h(v) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-16) + (-946)\/(-6160). Which is the nearest to -2\/9? (a) 2 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 6:58 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13036*h**3 - 15989*h**3 - 46895*h**3.\nAnswer: -75920*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9174, 18346, 27518, 36690, 45862, 55034?\nAnswer: 64206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q + 43*q + 307*q.\nAnswer: 394*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + l + 27. Let r be w(0). Let d be (-2)\/(-9) - (-129)\/r. Suppose 0 = d*m - 0*m - 180. What is the remainder when 71 is divided by m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5\/2 - 123*n**4 - 4815*n**3\/2 - 11535*n**2 - 4944*n + 19008 = 0.\nAnswer: -8, -2, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 157, -0.5, -18, -2, 1\/5, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2784)\/(-128)*(10 - (-988)\/(-78))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 195\/150)*4\/7. Let i(a) be the first derivative of -4 + 0*a**2 + 0*a**4 - 15*a + 0*a**3 + r*a**5. Find the first derivative of i(n) wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -605 or -606?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42746630 less than 2.2?\nAnswer: -42746627.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14\/((-20)\/810*-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 30, 51, 94, 165, 270, 415?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k + 10*k**2 - 5 - 4*k**2 - 2*k**3 + 3*k**3 - 3*k**2. Let m be h(-5). What are the prime factors of 612\/7 - (-15)\/m?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*r, -b + 1 = r - 0. Solve -2*x = b + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 2. Let m = 3 + 8. Let w = -5 + m. Give b(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 1\/(-2)*-4. Let p be d\/4 + 103\/2. What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, 4, 12 in ascending order.\nAnswer: 4, 12, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (417\/10)\/(12\/10). Let y = h + -35. Sort y, -0.2, 5, -0.03 in increasing order.\nAnswer: y, -0.2, -0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 25*h**2 + 67 + 2*h - 6*h + h**3 + 0*h**3 - 8*h + h**3. List the prime factors of l(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*(h\/(h*h**6))\/h)\/((h**(-2\/13)\/h*h)\/(h*h\/h**3)))\/((h**(-1)*h\/(h*h*h**(-2\/3)\/h))\/(h*h**(3\/7)*h*h**(-1\/4))) assuming h is positive.\nAnswer: h**(-6917\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 + -53. Suppose 3*m = 2*u - z - 17, 0 = -u + m + 123. Suppose 0 = r + u - 450. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -740*t**2 - 70*t - 5. Let y(j) = -369*j**2 - 30*j - 2. Let z(k) = -3*n(k) + 7*y(k). Let p(m) = 5*m**2. What is p(z(l))?\nAnswer: 658845*l**4 - 3630*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 3063*j - 438084.\nAnswer: -3*(j + 172)*(j + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {z: 2, b: 4, u: 3, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/19 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:57 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8739.195 millennia to months.\nAnswer: 104870340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s - 27. Let r(y) = -y**3 - 9*y**2 - 6*y + 10. Let p be r(-8). Let n be x(p). Put n, 0, 1\/3 in ascending order.\nAnswer: 0, 1\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = t + 5*p, 0 = 3*t + 4*p + p - 8. Suppose 50 = 3*u + t. Let g be (0 - 2)\/(3 - 4). Solve -3*m - 4*v = -g*v - u, 0 = -2*m - 2*v + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 184*x**2 - 5*x - 3. Let j be l(3). Suppose j = -m + 10*m. What are the prime factors of m?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -889 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 62*s**2 - 67*s - 246. Let u be m(-63). Suppose 0 = p + 2 - 8. Let w = -4 + p. Sort -0.1, w, u, 5\/3 in decreasing order.\nAnswer: u, w, 5\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4 - 6. Let z(c) = 5*c**2 + 3*c**a + 7*c**2 - 17*c**2. Let p(b) = b**2. Determine z(p(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52734.\nAnswer: 2, 3, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l - 127. Let g be t(15). What is the third derivative of g*x**2 + 203*x**2 + 135*x**3 - 4*x**3 - 117*x**2 wrt x?\nAnswer: 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -28, 0.11037, 3, 1\/11, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(12\/7))\/o)\/(o\/(o\/o**(1\/11))))**(-49) assuming o is positive.\nAnswer: o**(434\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*n + 6*n**2 + 439*n - 217*n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -1564 + 24. What is m rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -10*j**2 - 118*j + 64. Let d be c(-17). Round d to the nearest ten.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgngqknggnnx. What is prob of picking 1 q, 1 n, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -10\/3 (c) 285 (d) 2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-4)\/72 + (-258)\/(-108)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 5. Let g(c) = c**3 + c**2 + c + 4. Suppose 0 = -2*k - 3*k + 15. Suppose -4*o - k*f = -15, o + f - 5 = 4*o. Let b be g(o). What is n(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 125 (b) 27 (c) 2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 126*w + 1208 = -11*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 10:03 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -10.5. Let n = w + 4.5. Let b = -3.8 + n. Is -4 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/3122 and -65\/8028?\nAnswer: 56196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1489450 by -22.\nAnswer: 744725\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30678434431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*j + 7*j. Suppose x + 51 = -4*h, 0*h - h - 18 = -j*x. Let t(r) = 5*r**2 - 15*r + 15. Is t(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -31*m. Let l(v) = -578*v - 347*v**2 + 578*v + 351*v**2. Determine c(l(d)).\nAnswer: -124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0606186 to 4 decimal places.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 22 = 6. Let r = -1076 - -1570. Suppose -2*c - 4*b + 512 = 0, -2*c = -5*b - 0*b - r. Calculate the greatest common divisor of a and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-8)\/32)\/((-2)\/3512)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 706, 703, 708, 727, 766, 831, 928, 1063?\n\"Answer: j**3 - 2*j**2 - 4*j + 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22715, -45336, -67957, -90578, -113199?\nAnswer: -135820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 578531 - 109095 = -4*r, 3*r = m + 515745. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 8:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 6. Let z(g) = 4*g + 17. Let t be 10\/3*(21 + -12)\/3. Suppose -74 - 36 = -t*f. Calculate f*n(w) - 4*z(w).\nAnswer: -5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = k + c, 5*k + 2*c = -19. Let z(r) = r + 5. Let w be z(k). Solve 0 = -5*a - 2*i - 20, -i + 9 = -w*a - 2*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30258300, 30258302, 30258304, 30258306?\nAnswer: 30258308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 1032, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27681698*w**6 - 35901*w**2 + 19 wrt w?\nAnswer: -3321803760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*v = -2666, 2*u - 5314 = 136*v - 131*v. List the prime factors of u.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178947632*f + 114918084 with respect to f.\nAnswer: 178947632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.3. Let u = 0.34 + o. What is u rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 75. Let w = z + -84. Let d = -0.8 - -1. Which is the third biggest value? (a) -1\/5 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71292, -71293, -71294, -71295, -71296?\nAnswer: -71297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440 = 6*z - 11*z. Suppose -3*h = 2*h - f - z, 4*h + f = 225. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 160\/28 + 4\/14. Suppose 0*q = 3*q - o. Factor -3*s**3 + 3*s**3 - 2*s**q - 2*s**3.\nAnswer: -2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r + 12. Let z(y) = -y**3 - y**2 + 4*y - 1. Let k be z(r). Put 13, 1, -3, k in increasing order.\nAnswer: -3, 1, k, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*h - 9 + 9)*((-1 - 1 + 1)*(-2 + 1 - 1) - 2 + 3 + 1) in the form q + p*h and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798*z**2 - 79*z**2 + 147*z - 74*z - 73*z.\nAnswer: -877*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*j = -0*f + 10, 24 = 4*f - 4*j. Find the second derivative of -f*w + 762 - 762 + 15*w**4 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 15*h + 0 + 0*h**2 + 5\/4*h**5 + 25\/12*h**4 + 0*h**3. What is the third derivative of q(w) wrt w?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315100 and 6?\nAnswer: 945300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 5*k)*(-7 + 61 - 7) + k - k - 3*k.\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 557 by -19745.\nAnswer: -557\/19745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4284269, -8568538, -12852807, -17137076, -21421345, -25705614?\nAnswer: -29989883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24026 - d - 24026 - 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q = 64. Calculate the remainder when (-23)\/(46\/(-192)) - 1 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 3, -1\/3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(24)\/sqrt(2) + -1*(sqrt(12) - sqrt(192)))*-3)\/(-6*3*sqrt(6) - (sqrt(6) + (sqrt(54) - sqrt(6)))*3).\nAnswer: 7*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 435*a + 39591. Calculate k(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*d**3 - 28047 - 2*d + 14009 + 14038.\nAnswer: 208*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -834989086*c**4 - 33080*c**2 + 3111*c - 2 wrt c?\nAnswer: -20039738064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 86058*j**2 + 430065*j - 4302150.\nAnswer: 3*(j - 5)*(j + 10)*(j + 28681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9049*n**2 + n + 59852 wrt n?\nAnswer: -18098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02521274 - -0.02558. Round g to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 16*z - 5. Calculate the remainder when 73 is divided by j(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148074865 to the nearest integer?\nAnswer: 12169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let k be g(3). Suppose 0*p = -2*p + 24. Suppose -3*f + p = -3*w, 0 = -f + 6*f + k*w - 44. Solve -f*o = -3*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + m**2 + 3*m + 806. What are the prime factors of d(0)?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29846 and -59691\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/((x*x\/(x\/(x*x*x*x*x*x*x**(-1\/2)\/x*x)))\/x))))**(-5\/19) assuming x is positive.\nAnswer: x**(55\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 32*t**2 + 20*t - 1. Calculate j(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/33)\/(786\/4323).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1079957942 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96912899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 2 - 1*-33. Let g = -613 + 808. Calculate the highest common divisor of g and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.787924 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 1382 = -1040. Calculate the remainder when k is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 178*l + 1586. Let x be i(0). Calculate the greatest common factor of x and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 856 + 20 - 876 - f - 7*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**3 - 24*n**2 - n - 25. Let s(c) = 3*c**3 + 12*c**2 + 13. Let h(t) = 2*b(t) + 5*s(t). Is h(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 36. Let o = -16 - p. Let g(q) = 0*q**o + 945 - q**2 - 945. Let i(r) = 4*r**2. Calculate i(g(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y = 4, 3*d = 3*y + 6. Calculate the greatest common divisor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-eight thirds of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 22.9?\nAnswer: -4.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9220902ms?\nAnswer: 0.00001536817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1216) + -1) + (-5*(2 + sqrt(1216)) - sqrt(1216)))*1*5)**2.\nAnswer: 11200*sqrt(19) + 126500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, g: 5, e: 5}. Give prob of sequence ggeg.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21506, -43010, -64504, -85982, -107438, -128866, -150260?\nAnswer: -171614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1202201221021 (base 3) to base 12\nAnswer: -39392a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 3283.\nAnswer: 36113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -60 + -22 - -113 - (1 - 35)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4303, 4306, 4311, 4318, 4327, 4338?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -650, -615, -558, -479, -378, -255?\n\"Answer: 11*m**2 + 2*m - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 1, g: 1, u: 2, f: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 2. Let t(f) = -8*f. What are the prime factors of t(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161480 (base 12) to base 10.\nAnswer: 375648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.6 times -0.28?\nAnswer: -8.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 12.6, -4\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14034752 to the nearest integer?\nAnswer: 3746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f**(2\/5)\/f)*f*f)*f)**(22\/3)*f**(1\/4)\/(f*f**(-4\/3)) assuming f is positive.\nAnswer: f**(-229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/2 (b) -1\/4 (c) 47 (d) -3345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 13 = 2*n - 5, 5 = -3*n - 4*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 17 + (-1445 - -1439)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 = 17. Let s be (8\/4 + -1)*113 - v. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-q + q - 2*q) + q - 4*q + 2*q + 13 + 49*q - 13.\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -163, -62, -4, 3, 6 in descending order.\nAnswer: 6, 3, 1\/2, -4, -62, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/9 - 265\/18. Find the common denominator of g and (-1)\/(-8)*(1 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t**4\/3 + 45404*t**3\/3 - 254600*t**2\/3 - 36368*t = 0.\nAnswer: -4546, -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (11\/3 - 9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**5\/20 + 709*f**4\/12 + f**3\/6 - 709*f**2\/2 - 6360*f - 1. Factor s(h).\nAnswer: -(h - 709)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -669, -630, -589, -546, -501?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4 - 175*g + 11 + 172*g. Is v(-10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 - 672\/35. Let u = -10 - t. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - 2*a)*(a - 6*a + 3*a + (-2 + 0 + 4)*(-2*a - 1 + 1) - 51 + 8*a + 51).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 526*z**2 + 128*z**2 + 20*z**2 + 560*z**2 as c*z**2 + j*z + a and give c.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/56)\/((-20)\/(-232)) - (-4)\/10.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*w**3 - 229156*n**2*w**2 + 6*n*w**3 - 2*n*w**2 + 2*n*w + 7*n - 18*w**3 wrt n.\nAnswer: 2*w**3 - 458312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(-14140)\/(-6363).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d - 7*d + 14 - 2*d + 0*d. What is the units digit of c(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akinaziavkiz. Give prob of picking 1 i and 1 n.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 23*k**2 - 4*k + 801. Let w be p(-21). Put -3, 20, w, -5 in descending order.\nAnswer: 20, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.518374 tonnes to grams.\nAnswer: 8518374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67, -141, -217, -295, -375, -457, -541?\n\"Answer: -g**2 - 71*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.3 + 22.4. Let i = 7 - 8.5. Which is the fourth biggest value? (a) 0.2 (b) 1 (c) f (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/204 and -43\/347661390.\nAnswer: 695322780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 - 30*v - 36. Give o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -56.93 at most 0.29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3655 or 134?\nAnswer: 3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*n - 22, -667*n + 662*n = 5*o + 25 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 34. Let f be l(-5). Let h(c) = -5*c + 7 - 1 + c**2 + 0*c**2. Let i be h(5). Solve -10 = -f*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-8\/7)\/((v**3\/v)\/(v*v*v**(2\/9)\/v)) assuming v is positive.\nAnswer: v**(-487\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + 4*1*sqrt(132)))\/(sqrt(36)\/(sqrt(6)\/sqrt(2))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/9 + 71332*b\/9 - 636031778\/9 = 0?\nAnswer: 17833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 5555.2?\nAnswer: -5554.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129.41 + 8.31. Let f = 127 + u. Let b = f - 6. What is the second biggest value in b, 1, -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 289674*d + 868995.\nAnswer: 3*(d - 96555)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5952\/132 - (-2)\/(-22). Suppose 50*d = i*d + 780. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -377308.5 rounded to the nearest one hundred?\nAnswer: -377300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (351 + -290 - (-32 - 0)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.7 take away 483?\nAnswer: -1029.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 45*h**6\/2 - 139*h**3\/3 + 71. What is the third derivative of i(k) wrt k?\nAnswer: 8100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606699 is divided by 951?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 9. Give j(-14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*d - 28, -b + 7 = 3*d + 18. What is the second derivative of -100 - 107 + 188 - 79*y**4 - b*y wrt y?\nAnswer: -948*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 9*b**2 + 8*b + 7. Let z(l) = l**3 + 8*l**2 + 7*l + 6. Calculate 6*h(p) - 7*z(p).\nAnswer: 5*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 + 377*d**4\/3 - 33367*d**3\/3 - 414373*d**2\/3 + 33368*d\/3 + 413996\/3 = 0. Calculate d.\nAnswer: -11, -1, 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/1899 and -44\/4563?\nAnswer: 962793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 5*a - 2, 5*y = -a + 17. Suppose -10 - 5 = y*d. Let b(l) = -2*l - 4. Determine b(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1238319797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a**2 + 8*a - 2. Let l be q(4). Let s = -80 + l. Let z = -0.4 - -0.2. What is the closest to 4 in z, s, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43652669 is divided by 2297508?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 90\/(-21) - (-2)\/7. Let v be 0\/2*(-1 + -4 - y). Suppose v = -h + 62 + 55. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 33098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 17 = -3*p, -3*g + 2*p - 517 = -534 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101321021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.1 - -103. Let g = -225.01 + 225. Which is smaller: g or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.0403 (b) -1\/4 (c) -0.3 (d) 0.6 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 34*v - 2. Give s(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2314*c**3 - 1040*c + 2079*c - 1039*c.\nAnswer: 2314*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 10*w**3 - 27*w**2 - 9*w + 5. Let c be t(3). Let l be 3 - (1 + (-3 - 2)). Solve c*v - l = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + 4*r - 1. Let o be m(-2). Suppose 0 = -5*y + 2*y + 159. Suppose -o*q + 4*q = y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-4)) + (138 - 7). Let w = s + 20. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - (-25 - -2). Suppose -y = 5*j + 24. Let k = j - -50. Calculate the remainder when k is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10657\/164 or -66?\nAnswer: -10657\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-7))\/((-75)\/42 - -2). Suppose -6 = 2*l + 2*j - s, j = -4*l - 1. Let i = l + 12. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 26*v. Let u(q) = 6*q**2. Determine u(t(g)).\nAnswer: 4056*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 510*k - 592*k + 2050 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -36 (c) 0.1 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*v**2 + 1 + (3*v + 2*v - 4*v)*(5*v - 3*v - 3*v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 3, 2\/203 in ascending order.\nAnswer: -4, 2\/203, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 607 (b) -21 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*f - 576064, 3*w = -235*f + 236*f - 345634. Round w to the nearest 1000.\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45954)\/444*(-7)\/126?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15487 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53441852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.421885625 to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m + 3. What is the units digit of k(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 552\/5. Which is the smallest value? (a) 3 (b) x (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -28307.20017 to zero decimal places.\nAnswer: -28307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = 3. Determine p, given that -17*p - s*p**3 + 4*p**3 + 17*p + p**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.897197870425 + 0\nAnswer: -3.897197870425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 20) + 1 + 9 + 0 + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61209589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/6 + 8\/(-12). Let t = 54 + k. Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/12 + r**3\/6 - 6*r**2. Differentiate w(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0431 (b) -3 (c) 34 (d) 0.3 (e) 0 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-7)*(735\/14)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1)*x))\/(x*x*((x*x\/((x\/(((x*(x*x**(-25))\/x)\/x)\/x))\/x)*x)\/x)\/x)*x**(-5\/2)*x**(-23))**(3\/25) assuming x is positive.\nAnswer: x**(-9\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-55)*(-200)\/80.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 27*r + 13. Let v be u(-21). Suppose -p + 4*f = -v + 638, -4*f - 475 = p. Round p to the nearest 10.\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -4. Suppose n - 3*l + 10 = 0, 4*l = 3*n + b - 1. Suppose 3*j + 11 = t, -89 = -3*t - 0*t - n*j. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 6 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -170729 * -1\nAnswer: 170729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5445) + 6*1*sqrt(5445) - sqrt(5445))*1)\/(sqrt(1089)*1 - sqrt(9) - (sqrt(81) - (sqrt(81) - 2*sqrt(81)))).\nAnswer: 33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*g - 6151 = -6140, -g + 4 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 117*r**2 - 837*r - 48. Calculate j(5).\nAnswer: -1308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**7\/189 + u**6\/45 - u**5\/45 - 46*u - 127. Let s(b) be the first derivative of c(b). Factor s(o).\nAnswer: -2*o**3*(o - 2)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 63 - 9 = 0. Calculate the remainder when 35 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115.33 + 1.67. Let l = 112 - z. What is the third biggest value in 2\/5, l, -2, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m. Suppose 2*z = -4*x + 46, z - 35 = -0*z - 5*x. Calculate the remainder when w(1) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 2728*x - 465124.\nAnswer: -4*(x + 341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2797 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from otttotooozt?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -325325 minus -5?\nAnswer: -325320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 + 4.41. Let t = 2 - b. Let d be (-2)\/((-2)\/(-7))*1. Sort d, t, 1\/6.\nAnswer: d, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 2845*r + 36 - 2844*r - 29*r**3 + 2*r**2 as a + t*r**3 + n*r + m*r**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 - 34*m)*(2 - 77 + 42 - 65) to p + b*m and give b.\nAnswer: 3332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -446*j - 20512. Let k be m(-46). Let h(w) = 3*w**3 + 7*w - 2. Let y(q) = q**3 - q**2 + q - 1. Determine k*y(d) - h(d).\nAnswer: d**3 - 4*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 9*p - 2*i - 16, -4*i - 16 = 0. Let q(o) be the first derivative of -9\/2*o**p - 12 - 11*o. Let f(v) = -6*v - 7. What is 8*f(j) - 5*q(j)?\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -215\/7097 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*c - 6. Suppose -2*w + 15 = 3*z + 3, -2*w + 5*z + 28 = 0. Let l be (w\/21)\/(6\/4). What is the nearest to c in l, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 5, 30 in decreasing order.\nAnswer: 30, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 22 + 2*r**3 + 29 - 5*r**3 + 26*r**2 to s*r + i*r**2 + w + x*r**3 and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9010 divided by -9010?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -904 + 4*v - 811 + 1631 - 5 + 5 - v + (-4*v - 3*v + 6*v)*(1 + 1 + 0).\nAnswer: v - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) -0.4 (d) 100 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -0.07 (c) 3\/10 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56021, 56036, 56053, 56072, 56093, 56116, 56141?\n\"Answer: r**2 + 12*r + 56008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2959.726 decades to millennia.\nAnswer: 29.59726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -547, -549, -551, -553, -555, -557?\n\"Answer: -2*s - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.25, -3\/7, 17.8?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 17. Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {b: 1, s: 2, v: 4, e: 2, g: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (-1 + sqrt(1216))*-2) + -3 + 3 + 5)**2*4.\nAnswer: 576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31435 - -344?\nAnswer: 32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 74*t + 15. Suppose -2*q + 30 = 14. What are the prime factors of u(q)?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 15.8. Let y = k + 5.2. What is the nearest to -1\/3 in 0.3, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-3)\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**3 - 430*c**2 + 13*c + 12. Calculate o(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(117)\/sqrt(3) + (sqrt(390)*-1 - sqrt(390) - sqrt(390))\/sqrt(10))\/(2*sqrt(3)*-5 + sqrt(3) + sqrt(3) + sqrt(6)\/sqrt(2)*-5).\nAnswer: 4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*t - 1248, t + 261 = -4*f - 989. Suppose -3*o + 0*o - 143 = m, -5*m - o - 645 = 0. Let z = m - f. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (81 + -7)*(-4)\/(-6). Which is smaller: b or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/11)\/(r*r*(r**(-8)\/r)\/r*r*r))\/((r*r**(3\/13)\/r)\/r*r)**(1\/6) assuming r is positive.\nAnswer: r**(1627\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31806 by 186.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12208509, -0.01, -0.4?\nAnswer: 12208509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddrr. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 235*q - 91 + 361 - 2385 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 0.08. Let o = -2.2 + 2. What is the smallest value in b, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2205617*p**3 + 34*p**2 - 2*p - 383233263.\nAnswer: 13233702*p + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, -25, -51, -97, -169?\n\"Answer: -l**3 - l**2 - 2*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h + 15*h - 4 = -39 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - 2*t**2 + 9*t**2 + 6*t**2 + 144*t**2 - 4*t**2 + 2*t**2 - t**2 + (0 + 1 - 3)*(-t**2 + 2 - 2).\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4902\/5 + -9819\/10. Which is the smallest value? (a) w (b) -0.1 (c) 0.06 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - 0*w. Which is the nearest to -0.2? (a) w (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60*1*2*(-6)\/(-15). What is the highest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.34 - -2.3. Which is the nearest to l? (a) -1 (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -988013, -1976025, -2964037?\nAnswer: -3952049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 22*d + 85. Determine p(-8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/2, -5, 0.09693?\nAnswer: 0.09693","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 18*b + 28. Suppose 54 = -3*q + 3*n, 0*n + 15 = 3*n. Is c(q) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 - 9*q - 4. Let w be i(-7). Let j be (w\/6)\/((-1)\/(-3)). Suppose 2*z + 31 = 3*z + j*m, 0 = -4*m + 20. Solve 15 = z*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 10, b: 6}. What is prob of sequence gb?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 43*h**2 - 307*h - 796. What is x(33)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.1607 milligrams in tonnes?\nAnswer: 0.0000005761607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 24640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 433357*o**5 - 1005922*o**2 wrt o.\nAnswer: 26001420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 4*i + 13. Give u(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1888470*z**3 - 2000*z**2 + z + 64 wrt z.\nAnswer: -11330820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + z - 2 = -3*q, -4*z = -2*q - 18. Let l be (-12)\/q + (-2 - 0). Solve y - u = 2*u + l, -3*y - 4*u = 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 94*d + 1254. Give f(-8).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -914, 86, -4, 13, 3 in ascending order.\nAnswer: -914, -4, 3, 13, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1184*l + 593*l + 593*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 56352000 = 7*c. Suppose c = 4*g + 4*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -47.7. Sort 0.5, 5, f, -1\/6 in descending order.\nAnswer: 5, f, 0.5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 539 + 21 = 0. Calculate the greatest common divisor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005942141 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/3)\/d*d**(-15) assuming d is positive.\nAnswer: d**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 3*p + 2*p. What is the least common multiple of 2 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1, -5 in descending order.\nAnswer: 25, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (-13 - -41 - (-1 - -8)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 14 = 4*y. Suppose 2*p - 6*p = -64. Calculate the remainder when p is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9*(-1)\/24). What is the second derivative of m**5 - m**2 - 2*m**5 - n*m + m**2 wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - z = 7*j - 4*j - 7*j + 31, 4775*z + 4*j = 4771*z + 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 631 = 74*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 918*c**2 + 3703*c - 22. What is q(4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1918, -1917, -1916, -1915, -1914?\nAnswer: -1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-336))\/((-2)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.96 - -0.93. Which is smaller: g or 105?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(9 - -2 - (-1431)\/54). Which is the second biggest value? (a) -1\/3 (b) g (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4\/3, 5, 0.1, 0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -15. Suppose 0 = -h - k*h + 12. Suppose 12 = 4*l - 4*r - r, -5*l = h*r - 15. Solve -t + l = -1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 50 - 10. Suppose -h = -0*h - d. Let i(g) = -h*g + 3 + 10*g - 2. What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 2820751?\nAnswer: -2820745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 2 = -3*w, -w + 5*s + 12 = 0. Suppose -w*p - 4*q + 0 = -4, -2*q - 2 = 0. Solve 0*g + p*l = -3*g + 31, -3*l = g - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 73617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345570?\nAnswer: 2, 3, 5, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.143 in -2, 55, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (3 - (-4 - -11))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41847 and 305916?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 q when three letters picked without replacement from bnobgoqbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -55. Let b = c - 30. Let x = 89 + b. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -70. Let s = o + -76. Let d = -25 - s. Which is greater: 44 or d?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**15)\/s)\/s**(-17))\/((s\/((s**(-13)\/s)\/s))\/s**(1\/26)))**(-48) assuming s is positive.\nAnswer: s**(-10008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21285 by 15.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -33715561?\nAnswer: 33715566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 29*x**2 - 191*x - 14. Calculate v(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:31 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59865 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*w**5 - 5*w**4 - 27*w - 8.\nAnswer: 1900*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -38.91. Let h = x + -0.0891. What is h rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -28, 0.4, -1.5, 0.05, -430\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 9. Let u(x) = x**2 + 3*x + 17. Let d(n) = -n**2 - 2*n - 8. Let k(y) = -5*d(y) - 3*u(y). Let w be k(0). What is the units digit of z(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443342 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64\/45 + -6\/5. Let h be 0 - (-3 - -8)\/70. Which is the nearest to -0.1? (a) -5 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1188 divided by 66.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2 - 5022*v + 1326464 = 0. What is v?\nAnswer: -2752, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564715*i**4 - 440989*i**2 wrt i.\nAnswer: 13553160*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2399 - -d5b?\nAnswer: 3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (214*r + 273*r - 246*r)*(2 - 2 + 2)*(0 - 2 + 3) as g*r + u and give g.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: 8327201 times 0.2\nAnswer: 1665440.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 19*o**2 - 359*o - 12. What is d(-12)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10287\/108 - 3\/(-4) - (-22 + -133)\/(-31)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 13. Let w be h(13). Sort 3, -67, -2, w.\nAnswer: -67, -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 239.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 11*c**2 + 2*c - 4 - c - 3. Let d be g(11). Suppose -139 = -d*w + 293. Is w a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -347, -525, -705, -887?\n\"Answer: -o**2 - 173*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*v**4 - 4 + 24*v**3 - 25*v**3 - 11*v**4 + 18*v to n*v + m*v**2 + r*v**4 + f + i*v**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110011011111010 + 100101111?\nAnswer: 111110100000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 18 - 3. Calculate the remainder when 57 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:52 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 2*q - 3. What are the prime factors of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - -56. What is the remainder when 528 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laxxllocllxlolcx. What is prob of picking 2 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1919ad2 (base 14) in base 6?\nAnswer: -1122310224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 732459454888.\nAnswer: 732459454888.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000721944 to 7 dps.\nAnswer: 0.0000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 32*y = 12. Let w = -1.7 - -3.7. Suppose 1 = -2*l + 3. Which is the closest to l? (a) -0.5 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 4*q - 3*q)*(-1 + 0*q - q + 3).\nAnswer: 4*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.7 + 76.7. Let q = 72 - o. Let c be ((-4)\/(-6))\/(6\/2). Sort q, -3, c in ascending order.\nAnswer: -3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m + 0*m**2 + 2*m - 5. Suppose -3*p + 20 = -31. Calculate the remainder when l(-6) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16810, -16826, -16842, -16858?\nAnswer: -16874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -1. Let g(l) = -14*l - l**2 + 2*l**2 + 5 + o*l. Let v = 1594 + -1589. Give g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2360320024\/5 or 472064006?\nAnswer: 472064006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -69*h + 3. Let j be q(-3). Let i be 1127\/j - 1\/(-2). Let t = i - 1058\/165. Is 0 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11754046.\nAnswer: 2, 19, 309317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 120150, 1\/9, 28?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 4*s - 9, 154248*y - 154253*y + s = -140 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 248 = 4*c, q = -2*c - 4*q + 110. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f. Let j(b) = -2*b - 12*b - 10*b + 11*b. Let m(n) = 4*n - 10. Let x(d) = 1. Let c(l) = m(l) + 10*x(l). Let p(t) = 8*c(t) + 3*j(t). Give p(h(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*q + 23*q - 23*q)*(2*q - 6*q + q) to the form n*q**2 + t + z*q and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -14*j**3 - 1683*j**2\/8 - 4973*j\/8 - 33\/2 = 0.\nAnswer: -11, -4, -3\/112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2, -0.3, 1\/4, 197?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9374, -9858, -10342?\n\"Answer: -484*v - 8890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 8:14 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2989 is divided by 1437.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362046.\nAnswer: 2, 3, 83, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/254 and 27\/14.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + 10*g)*(143 + 54 + 97 + (-3 + 0 + 1)*(-1 + 4 - 4) - 5 + 2 + 1 - 1 + 2 + 1 + (-1 - 3 + 3)*(0 - 2 + 4)).\nAnswer: 3234*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(44)*2)\/(sqrt(100)*-1) + -1.\nAnswer: -2*sqrt(11)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*3 + sqrt(65))*4)\/sqrt(5) - 2*(sqrt(13) + 0)*-4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1020700 and 25604.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2. Let b(n) = -158*n + 158*n - 3*n**2. Determine b(k(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/7, -56, 487 in descending order.\nAnswer: 487, 10\/7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:59 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.87 - -2.4. Let j = q - -0.4719. Round j to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f = 0. Let m(s) = f - s**2 + 1 + 2 + 4 - 6*s. Let v be m(-7). Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:30 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -5*j**7\/42 - 8*j**6\/3 + 27*j**5\/2 - 70*j**4\/3 + 95*j**3\/6 - 2383*j. Factor d(k).\nAnswer: -5*k*(k - 1)**3*(k + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 30*s + 128. Let u(d) = -1821*d - 1855. Let r be u(-1). Give v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-60) + 2\/(-10). Suppose 5*j = -n*j - 855. Let w be j\/(-38) - (-1)\/2. Solve -w*r + 20 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*u + 1496 = 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, i: 8, q: 2, x: 1}. What is prob of sequence ix?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296248 divided by -152?\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/35 + 18\/10. Let r(u) = -u**2 + 4*u**2 - 2*u**h. Let y(v) = -v. What is y(r(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 542952246 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-3 - -6) + 3) - -10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108677717, 217355432, 326033147, 434710862, 543388577, 652066292?\n\"Answer: 108677715*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1\/4, -1\/2, -16.42, 3\/5.\nAnswer: -16.42, -3, -1\/2, -1\/4, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + h = 5, 5*r - 29 = -4*h - 9. Suppose 3*n = 3, 3*c = -r*c - 5*n + 911. Calculate the remainder when c is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 = 0, -4*g + r = -g - 14. Suppose 0 = 3*s - 34 + g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*l + 10, 2*l - 4*u + 8 = l. Let k = -0.035 + -0.015. Let t = -1.05 - k. Which is the closest to 0.1? (a) l (b) t (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.452 - 0.29. Let f = q - 0.16006. What is f rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 7*l + 2. Let q be m(5). Let s = q - -14. What is the remainder when 10 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 4644?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 15*c - 16*c. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 626329*m. Let i(t) = -t + 22. Give i(n(k)).\nAnswer: -626329*k + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zddddddzd. Give prob of sequence ddzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243466 is divided by 121711.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**2 + 124*z - 11. What is the lowest common multiple of 304 and r(13)?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 54*k**3 + k**2 - k + 1. Is c(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-21)*3*4*1. What is the second derivative of 0 - 1454*z**2 - t + z + 1458*z**2 wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 193*r - 1214. Determine x(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -5 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1628, -3258, -4886, -6512, -8136, -9758, -11378?\n\"Answer: u**2 - 1633*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 5.6. Suppose -5*r = -7*r. Let m be (-2)\/24*10 - r. What is the third biggest value in t, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270 a factor of 55285890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 + j - 1. Give i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3079*r. Let z(t) = 261*t + 38. Let v(g) = 41*g + 6. Let n(h) = 19*v(h) - 3*z(h). Give n(m(s)).\nAnswer: 12316*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*k - 23, -4*k = -2*o - 1 - 11. Suppose q + o = 0, 16 = 3*b + 3*q - q. Calculate the lowest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from pxmmppxxppm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 5*t + 2*t)*(-t + 2*t - 2*t)*(-2 + 5 - 2).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/27 and -127\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 8*o**2 + 5*o - 21. Let u be y(7). Let a = u + -61. Solve -a*g + g - 2 = 0, 0 = 3*m + 5*g + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128*i + 580 - 580)*(10*i + 11*i + 13*i) to m + j*i + c*i**2 and give c.\nAnswer: 4352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297 - 254. Let a = f - -797. Suppose 0*h = -6*h + a. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 463, 464, 465, 466, 467?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 16 + 4 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 26*b**4 + 264*b**3 - 34*b**2 - 696*b + 440 = 0.\nAnswer: -10, -2, 11\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 3*h - 4*h - h - 3. Let w(r) = -9*r - 7. Let c(b) = 5*u(b) - 2*w(b). What is the first derivative of c(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + z = 5, 0 = -2*h - 4*z + 12 - 28. What is the remainder when (12 - h) + 0 + 1 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 9\/(-6))\/((-2001)\/(-319)) and 35\/414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -4*u**7\/21 + u**6\/5 + 61*u**4\/12 - u**2\/2 + 20*u - 8. Find the third derivative of o(c) wrt c.\nAnswer: -480*c**2 + 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 7:29 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1818 + 1818. Let u = -11 + 13. Factor z + 3\/7*f**u + 6\/7*f.\nAnswer: 3*f*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/2 - 11*j**2 + 5*j + 9. Let l be y(7). Put 1, -6, -7, l in ascending order.\nAnswer: -7, -6, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + w**2 + 36*w - 85. Give x(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let v(q) = -3*q**2 + 7*q. Let b(t) = -t**2 + 2*t. Let z(w) = r*v(w) - 9*b(w). Find the second derivative of z(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {c: 2, j: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*y + 77 + 355. Let q = -36 - -17. Let c = y - q. Solve 0 = 2*h - c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 676308?\nAnswer: 2705232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/2*(-2)\/(-1). Suppose 107 = -0*o + 5*o - 3*m, 5*o = -b*m + 75. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 39*a**2 + 2*a - 13. Is k(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89175234 by -6.\nAnswer: -14862539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -303, 1433, -43 in descending order.\nAnswer: 1433, -43, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 - 4 + 4 + n. Let v be t(4). Suppose -3*q + 12 = v*j, -3*q + 17 = 5. Solve h - 3*h - 8 = j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.722 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13139 is divided by 2255?\nAnswer: 1864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x - 5*n = -10, -3*n + 2 = x. Let p be 4 - (x - -1) - -12. Suppose -l - 7 = -4*o, 3*o - p = -4*l + 16. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1)\/(sqrt(98)*2).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 5*j - 5. Let z(s) = -s**2 + 6*s - 6. Let v(m) = 6*q(m) - 5*z(m). Let x(d) = -1311*d + 14*d**2 + 1311*d. Determine x(v(g)).\nAnswer: 14*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8003171 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of 5*f**8\/168 - f**4\/24 - 5*f**2. Find the second derivative of w(b) wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -26*d + 647. Calculate the remainder when k(13) is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:17 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - 260*v - 118. Give i(-87).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3*s - 1. Let a be t(-3). Is 395\/25 + a\/(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28489 to two decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36792 and 91980?\nAnswer: 183960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627305.\nAnswer: 5, 7, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*r - 32 = 0, -b + 11*r - 10*r - 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952 = -401*u + 418*u. What is the least common multiple of ((-12)\/8)\/((-3)\/20) and u?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3850, -15543, -35072, -62437, -97638?\nAnswer: -140675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - t + 5 - 5. Let s(a) = -11*a. Calculate p(s(x)).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 5, 0.4, -0.0352, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 705784 + -301775. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42400, 84892, 127378, 169858, 212332?\nAnswer: 254800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8209 or 8211?\nAnswer: 8209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14326523 is divided by 436.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5 = -6 - 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27060.\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2415*k + 1665. List the prime factors of m(-17).\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 3:39 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*f + 20 = -185*f. Let z be 4\/10 + 74\/(-260). Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19 + 15 = -b, 2*b - 8 = -r. Suppose 8*c - 7*c - 3314 = r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 22 = -3*o, 0*o - 8 = -3*o - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*a**3*w**4 + 3*a**3*w - 90*a**3 - 45*a**2*w - 3*a**2 - 4591*w**4 - 2*w wrt w.\nAnswer: 2880*a**3*w**2 - 55092*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2176 and 1853.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381993 is divided by 324?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*c = -22 - 29, 4*c = 2*i - 18. Solve 4*u - 4*x = 2*u - 8, 5*x = i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from cncchnnh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*(-8)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 16 = c. Suppose -5*f - 2*m = -250, 3*f + c*m - 101 = 53. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l + l**3 - 23*l - 6 - 2*l**2 + 10 + 5*l**2 + 9*l. Give u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*m**2*n**3 + 44769*m**2*n - 3*m*n**3 + 77560*n**3 wrt m?\nAnswer: -18*n**3 + 89538*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66 + (4 - (-42 + -8 + 34))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46960.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.87435 to 1 dp.\nAnswer: -19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7092612 a multiple of 813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8825 + 176599\/20. Let n = 169\/80 - 1\/16. Calculate the common denominator of z and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241988 to the power of 1\/2, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2875 plus -0.39?\nAnswer: 2874.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 8*u**2 - 271*u + 1381. Calculate m(5).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 - 7. Let a(s) = -2431 - 2440 + 4871 - 13*s. Give a(d(m)).\nAnswer: 52*m**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15\/8, -475, 1 in decreasing order.\nAnswer: 1, -1, -15\/8, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 = 7*p + 549. Solve 0*k - 5*q = k + p, 0 = 5*k + 4*q - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63974 + -63972.83083. What is j rounded to two dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*22*1\/(-4). Suppose 5*s = n*s - 24. Solve 2*k = 5*i - 20, -2*i = -3*i + 3*k + s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 2*s**2 + 7*s. Let i(y) = 2*y**3 - y**2 + 6*y. What is 7*i(o) - 6*x(o)?\nAnswer: 2*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29383.14921 - 29383. What is o rounded to 3 dps?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 5*a + 2801, a - 2781 = -4*d - 0*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 221960397, 443920796, 665881195?\n\"Answer: 221960399*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*k + 3*g, 26*k - 28*k + 14 = -4*g. Sort -226, k, 3.\nAnswer: -226, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 9*g = -110. Let t = -47 - g. Suppose 12*v - t*v = 108. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 3:37 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 490 = 66*i + 15*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = -4*h + 5*h, -3*b = 0. Let r(t) = t**3 + 5*t**2 - t - 4. List the prime factors of r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173721 is divided by 28516.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 102584*g - 718011. Determine m(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*g + 8 = 2*v, -g - 16 = -3*v. Suppose 4 - 40 = v*d. Let p be 3\/d*(-15)\/(-2). What is the closest to -0.1 in 0.1, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i + 4*i - 6*i)*(3*i**4 - 2*i**4 + 0*i**4).\nAnswer: -34*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-2 - (-8)\/5). Solve -4 = -d + k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/445 and -11\/175.\nAnswer: 15575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 + 121.9949. Round w to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4671164 divided by -52.\nAnswer: -1167791\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243496 is divided by 224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850003120?\nAnswer: 2, 5, 10625039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/180 - t**5\/15 + t**4\/4 - 7*t**2. Solve l(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 - 9*b**4\/4 + 29*b**3\/4 - 43*b**2\/4 + 15*b\/2 - 2 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.311 - 0.036. Let g = b - 92.875. Round g to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(4*(-2*sqrt(77) - sqrt(77)) - (sqrt(77) + 2*sqrt(77)*5)))\/((sqrt(112)\/sqrt(2)*1)\/(2*sqrt(16)\/sqrt(2))))**2.\nAnswer: 837936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1331) + (sqrt(1331) + sqrt(1331)*-2 + sqrt(1331))**2.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from ddhrdhrrhhhdy.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -213234240?\nAnswer: 213234403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*f + f - 3523, -4*q + 4680 = 3*f. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 36*y**2 + 316*y + 24. Determine m(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 - 11028*x**2\/5 - 20269464*x\/5 - 12418424944\/5.\nAnswer: -2*(x + 1838)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23441 (base 5) to base 8\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10724113 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvqttqqqqjdqdqjtt. What is prob of sequence qk?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**3 + 1\/60*f**5 + 0*f - 7*f**2 + 0 + 0*f**4. Let z(n) = -1. Let y(u) = -u + 1. Let w(k) = y(k) + z(k). What is t(w(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = 18007 - 2026. Let m = j + 1576. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15302*n**2 - 15302*n**2 - 3*n**3 - 6*n**3.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-75)\/35)*4\/(-7))\/(-20)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - -1.1. Suppose -3*x - 2*p = 142, 4*x - 5*p + 151 = -0*x. Let g be (-20)\/x*(-4)\/10. Which is the closest to 2\/7? (a) k (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 519 - 513. Let s be ((-2)\/(-5))\/(8\/200). Let k be (2\/3)\/(s\/15). Solve -2*d + k = -5*w - 4, 0 = d + w - f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = n + 4*d, 2*n - 17 + 3 = 2*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3901, -7800, -11699, -15598, -19497?\n\"Answer: -3899*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*h = -20524 + 4362, s - 2717 = -4*h. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*g - 324 - 866 = -218 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -425220, -425218, -425216, -425214, -425212?\n\"Answer: 2*g - 425222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 + -4 - (10 + -2 - 18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 40*s**3 + s**2 - 5*s + 4. Calculate the least common multiple of ((-12)\/(-10))\/(5\/(1100\/6)) and f(1).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - q**2 - 6*q + 5*q - 2*q**4 - 5 in the form s*q**2 + t*q**4 + b*q**3 + v*q + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*196\/(-245))\/((-1)\/(-4)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-108))\/((-60)\/(-72)) + 7332\/(-54)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/11)*v*v**(-27)*(((v\/v**(-6)*v)\/v)\/v)**(-27) assuming v is positive.\nAnswer: v**(-2069\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 - 2349*f + 72884. What is b(225)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -90844, -181689, -272534, -363379?\n\"Answer: -90845*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -4*p + 10, 5*p = 2*j + 10. Suppose -q + 5*i = -3*q + 17999, p = -4*q - 2*i + 35990. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19781 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 82 = -35*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w + 1. Let a(k) = 24*k - 2. Calculate 2*a(d) + 14*c(d).\nAnswer: 6*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 4 - (40 + -3 + 2). Let c = h + 42. Suppose 2*y = -c*k + 6, 4*y - 12 = 3*k + 2*k. What is the fourth biggest value in -1\/3, 2, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(10 - 2 - 1)*(2 - 1 + 0)*(-c + 3 - 3).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 1\/3*a**3 + 2 - 5\/2*a**2 + 4*a. Let l be c(4). Sort -5, 2, l.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 + z - 8. Calculate u(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2720779.\nAnswer: -2720779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5 - 9*m**2 + 4*m**3 - 2*m**3 + 16*m - 10*m. Let l(u) = 4*u**3 - 17*u**2 + 12*u - 9. Let b be (3 - 4)*5*1. Let p(q) = b*f(q) + 3*l(q). Factor p(x).\nAnswer: 2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:25 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 2*z**7\/21 + z**4\/12 - 5*z - 5. Let s(d) be the first derivative of l(d). Find the third derivative of s(y) wrt y.\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3893922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18.8 * 2\nAnswer: 37.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 + 71*c**2 + c - 60 wrt c.\nAnswer: 12*c + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1328 (b) -116 (c) -4 (d) 0.5 (e) 2\/7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44024202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -742 (b) -3 (c) -0.3 (d) -0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4991\/70)\/(-31) + 2)\/((-2)\/(-4)). Suppose 4*q - 4 = -0. Which is the closest to 0.1? (a) q (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 + 30*n**4 - 48*n**3 - 6*n**2 + 51*n - 24 = 0 for n.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*2*sqrt(136)*-2*6)\/(3*(sqrt(40)\/(sqrt(5)*-2) - (sqrt(64)*1)\/sqrt(8))*1).\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -19 + -5 + 51\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let a(j) be the second derivative of -2*j**3\/3 - j**2\/2 + 2657*j. Suppose -2*s = 4 + 14. Calculate s*b(q) + 4*a(q).\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -17*z + 1. Calculate j(3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*t - 729221 = 68178 + 1904869. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 713 divide 57235271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 281*l**6\/30 + l**5\/10 + 30*l**4 - 36*l - 5. What is the third derivative of j(b) wrt b?\nAnswer: 6744*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 21 = -3*c, 3*q - 7*q - 10 = c. Suppose 4*f - 1 = -w, -3*f + c + 0 = w. Solve -5*t + 5 = w*a, 2*a - 4*t + 13 = -t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521978936?\nAnswer: 2, 71, 229, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - 33 - (2 - -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4*1)\/(-2*10\/110). Calculate the greatest common factor of p and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 42 + 13. Suppose g = d + 9. Suppose 0 = -3*l - d*l + 50. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/4 - k. Let q(d) = -2*d - 473 + 473. Give q(y(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4818133kg to micrograms.\nAnswer: 481813300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - b + b + (2*b**2 - 2*b**2 + 3*b**2)*(4 - 4 + 2) + 76*b**2 - 49*b**2 + 29*b**2.\nAnswer: 61*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*b**2 - 6710 + 0*b**3 - 4*b**3 + 6711 + 167*b**2.\nAnswer: -4*b**3 + 405*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 469, 1357, 2645, 4315, 6349, 8729, 11437, 14455?\nAnswer: 17765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g - 2*x + 2, 12 = 4*g + x. What is the third derivative of 0*a**3 - 3*a**4 + 15*a**2 + 0*a**3 + g*a**4 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68107642 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Let s be y*(0 - -1 - 2). Let l be 2\/10 - (-4)\/(-120). Which is the second biggest value? (a) s (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 21. Give a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*h + 2 = 0, -3*i - 4*h + 14 = -0*h. Suppose -3*g = -2*y - i + 6, y = -g + 2. Suppose -2*t + 12 = y. Let s(b) = b**2 - 5*b. Give s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 329265, 658520, 987775, 1317030, 1646285?\n\"Answer: 329255*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9161 and -36.5?\nAnswer: -334376.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 72 = 18*r. Let p = r + -34. Solve -1 - 3 = -p*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n + 9. Let m(t) = 3*t**2 - 99*t + 18. Calculate -m(s) + 2*o(s).\nAnswer: -s**2 + 97*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:41 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 30 = -6*t. Suppose -t*k + 14 = 8*k. Let w = 0.9 - 1. Which is the second biggest value? (a) w (b) 0.2 (c) k (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.19, 5.\nAnswer: -3, 0.19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10*o + 6. Let r(x) be the third derivative of -x**5\/60 - x**3 - 41*x**2. Let m be r(0). Let c(u) = -9*u - 5. Give m*b(l) - 7*c(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 2\/11 (c) -0.018 (d) -65.5 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12367 and 747.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n + 332 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112892467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6*52\/(-416).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -0.4771\nAnswer: 0.33397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 756889247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*r + 3. Let p be (-1 + r)*(-5 + 4). Suppose p = 3*u - 6*u + 144. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**2 + 3*a + 0 - 1\/6*a**3. What is y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 1202740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + (26 - (55 + (-62 - -36)))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*338\/169 + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 4. Let z(g) = -g**3 + 34. Let j be z(0). Let x(h) = j*h - 72*h + 33*h - 17. Let k(r) = 9*d(r) - 2*x(r). Calculate k(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3637 divided by 2686\nAnswer: 3637\/2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**3 - 4*t + 11*t**3 - 2*t + 4*t**2 = 0. What is t?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 6.6. Let a = 0.8 + o. Let d = -305.7 + 298.7. Put a, d, -2 in decreasing order.\nAnswer: a, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 4*a + 42 - 2, -4*c - 5 = 3*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -58*6\/12. Let h(t) = 10*t - 1. Let g(v) = v. Let z(f) = -4*g(f) + h(f). Let s be z(1). Solve s*y = c - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.604363 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-9)*z**11)\/((z\/z**(-11)*z)\/(z**(-10\/7)*z)) assuming z is positive.\nAnswer: z**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 + -587. What is the closest to -32 in -5, -0.6, a, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -16 + (30 - 14) - (-8 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.31 - -3.28. What is the smallest value in 1, -2, n, 4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -840*f**2 - 842*f**2 - 1043*f**2 - 840*f**2 - 846*f**2 + 4405*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 + 3 + (15993 - -5). Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-1))\/(-2) + 2. Suppose i + 6 = 4*i + 3*l, -5*l - 6 = i. Let k = u + i. Solve 0 = k*q - 2*q - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-304)\/60*-3)\/(23\/115)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 367047*w**3 - 155389*w?\nAnswer: 2202282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - 38. Let f(x) be the third derivative of x**4\/24 - 218*x**2. Determine f(g(m)).\nAnswer: -2*m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/5)*o**(-11))\/(o*o\/(o*o**(-2))*o)**(11\/3) assuming o is positive.\nAnswer: o**(-403\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1423 + 3?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 876544\/95 or 9228?\nAnswer: 876544\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 4*b - 20, -17*b = -16*b + 5*f - 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10502368 divided by 218\nAnswer: 48176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 328*p**2 - 1931*p - 372. Give i(322).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19 * 25525.\nAnswer: -4849.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7153645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1093, -2583, -4477, -6775, -9477, -12583?\nAnswer: -16093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8701343 to 2 decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*s - 58, -5*s = -4*j + 17 - 126. Let d = s + -11. Suppose 11*x - d*x = -30. What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 184*o + 1418. Let k be n(8). What is the greatest common divisor of 2390 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z - 10. Let i be u(-8). Let s be (1\/(-1))\/(5 - i). Which is the biggest value? (a) 3 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1444\/63 + -16\/63. Let w = o + -23. Let t = -87 - -86. Which is the nearest to w? (a) t (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose h*s = 4*s - 16. Calculate the remainder when s is divided by ((-15)\/(-12))\/(1\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.8 - 19.8. Which is the nearest to 0.5? (a) 1\/5 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35542, -284228, -959234, -2273722, -4440854, -7673792, -12185698, -18189734?\nAnswer: -25899062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**4\/6 - y**3\/6 - 7*y**2 + 2*y. Let t(k) = 9*k - 3. Give -2*t(r) + 5*z(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 1\/2*q**2 - 8 - 12*q. Determine a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -0.01 in descending order.\nAnswer: 3, 0.4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640716139?\nAnswer: 7, 4001, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.852, 3\/4 in decreasing order.\nAnswer: 0.852, 3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -20. Differentiate -14*a**4 - 6*a + 4*a + 9 + u*a with respect to a.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -48*h**3 - 2*h**2 - 125*h + 398. Give u(3).\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 3*c**2 - 2*c - 2*c**2 - 4*c**2 + 5*c**2 + (-3 - 2*c + 3)*(0*c + 2*c + 0*c))*(-2*c**2 + 5*c**2 + 0*c**2).\nAnswer: -24*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-3)\/(-9)*(-1314)\/4?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*(-8 + 7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12752153.\nAnswer: 107, 119179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1062659 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 130 = -2*t. Let x = 122 - t. Let f(u) = u**3 - 8*u**2 - 2. Let i be f(x). Let o(l) = 3*l**2 + 2*l - 1. What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*g**5 - 183*g**4 + 396*g**3 + 2349*g**2 + 1458*g = 0. Calculate g.\nAnswer: -2, -3\/4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 4*p)*(-9 + 28 + 12) - 9*p + 54 - 54.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -59. Let y = -60 - -92. Let j = y + -18. Calculate the lowest common multiple of g and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x - 40*x + 31*x. Let j(p) be the first derivative of p**2 - 3. Calculate j(n(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3 + 1 + 6 + m - 5. Calculate the remainder when 34 is divided by g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + 6*j - 10. Let y be q(-7). Let p = y - -2. Let i(w) = -6*w**3 - 2*w**2 + 1. What is the units digit of i(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 449930.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 85147619.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 8*f - 122 = -174, -3*o - 5*f + 43 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*g + 105 - 102 = 0, 0 = -3*d + 5*g + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -1021?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 - 9*y - 13. Let g be w(-6). What is the smallest value in g, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(-8\/9)*r))\/r)**(-6\/7)\/((r*(r\/(r\/(r\/(r\/((r*r*r*r**(-5\/2))\/r))*r)))\/r)\/r**(-11\/2)) assuming r is positive.\nAnswer: r**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572.95 - -573. Sort g, 0.4, -1, -3\/2 in ascending order.\nAnswer: -3\/2, -1, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4463.192892 rounded to 1 decimal place?\nAnswer: -4463.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -48*q + 3995. What is the highest common factor of 20 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-295)\/(-3) - 28\/(-42)) + 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361958 is divided by 881?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1001101000100 (base 2) to base 14\nAnswer: -1b24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 3*t)*(-6441*t + 3226*t + 2915*t + (-3 - 2 + 4)*(-2*t + 3 - 3) + 2 + 2*t - 2) in the form s*t + a*t**2 + k and give a.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 1278 + 4112 = -17*z - 41*z for z.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 267\/2695 + -2\/245. Suppose -2*n = -0*n + 2*w, 3*n - 4*w + 7 = 0. Let l be 3\/6*((-2)\/n - 4). Is l < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*w + 26. Let z(a) = 258*a + 582. Let y be z(-2). Let j = w - y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4472, -14354, -24236, -34118, -44000, -53882?\n\"Answer: -9882*l + 5410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 + 8*w - 5. Calculate i(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - k**2 + 10. What is the units digit of s(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*s**4 - 14398*s**2 - 72*s - 257185861.\nAnswer: 72*s**3 - 28796*s - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -10?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1958*s = -3806*s + 52441 + 449027 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 2*a**2 - 3*a**2)*(5 - 8 - 7) + 6*a**2 + 98*a**2 - 2*a**2.\nAnswer: 122*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = 3*q, 3*c = -2*q + 11 + 3. Let p(f) be the second derivative of -1\/2*f**2 - 2*f + 0*f**c + 0*f**3 + 0 - 1\/20*f**5. Differentiate p(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let t = -1.27 - -0.17. Let v = t - -1. Which is the nearest to 1? (a) k (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+37620.696\nAnswer: 37620.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51134714 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/6 - (-20)\/18 and 143\/5863 - 2970\/(-71545)?\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 9:20 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82\/17 or -5?\nAnswer: -82\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/5 (c) 0.5 (d) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - d = -15, 0 = -7*d + 6*d - 5. Solve 2*c = 3 + 3, -j - b*c = -14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14) - 1\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 - -115. Find the third derivative of 14*j**2 - 8*j**3 - 16*j**2 - 5*j**l wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:36 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -199, -5, -22, -160 in decreasing order.\nAnswer: 4, -2, -5, -22, -160, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + (sqrt(108) - sqrt(108)*-1))*-2)\/(sqrt(6) + -3*sqrt(36)\/sqrt(6)) + -4)*3.\nAnswer: -12 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.239 + -0.051. Let a = z - -6.79. Round a to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*v + 3)*(0*v**2 + 2*v**2 - 4*v**2) + 19200*v - 19200*v - 5*v**3 - 26*v**3.\nAnswer: -27*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -21?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 341794, 1366843, 3075262, 5467051, 8542210, 12300739, 16742638?\n\"Answer: 341685*d**2 - 6*d + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/17 (b) -0.1 (c) 51 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*i + 5. Suppose 2*c = 7 - i. Let a be (2 - 3)*(-3 - c). Solve 0 = y - 1 + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057263147 rounded to 4 dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79124, 82732, 86336, 89936?\nAnswer: 93532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-24) - 1084\/(-2160). Let o(w) be the third derivative of b*w**6 + 0*w**4 - 1\/945*w**7 + 1\/135*w**5 + 0*w + 0 + 0*w**3 + w**2. Factor o(r).\nAnswer: -2*r**2*(r - 2)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -61?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 2:14 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -70 (b) -0.09 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 1268.\nAnswer: 1268.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4801 + 5870. Calculate the remainder when f is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3461 + 5?\nAnswer: -3455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8429440, 8429298, 8429166, 8429050, 8428956?\nAnswer: 8428890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1169*d**2 + 2*d - 6. Let u(i) = 5844*i**2 + 11*i - 33. Calculate 11*m(n) - 2*u(n).\nAnswer: 1171*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 3*r)*(-r - 2*r**2 + r) - 5*r**3 + 2*r**3 + 2*r**3 - 6*r**3 - 13 - 6*r**3 + 15 + 2*r - 2*r - r**3 + (-5*r**3 + 5*r**3 - 2*r**3)*(3 - 2 - 2).\nAnswer: -14*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d - 41 + 100 - 3 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*f + 20, -18 = -2*q - 5*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0089 + -0.2089. What is the closest to -2\/3 in -2\/7, -3, k, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 94303025 and 4.4.\nAnswer: 94303029.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*j + 4, 0 = 5*y - 2*j + 15 - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (134 - 124) + (8 - 8) + 85.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5375.45 nanometers?\nAnswer: 0.00000000537545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-5)\/60)\/((-1)\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t + 10. Let a be s(5). Suppose h - 5 = 0, v = -4*v - 3*h + a. Solve 0 = x - v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.8 and -42.\nAnswer: -33.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*u = 24, -4*u + 0 + 10 = k. Let v be -7*1 + -11 + k. Put v, 3, -5 in ascending order.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206015\/109062 + 1\/12118. What is the common denominator of s and -70\/117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 (base 7) in base 2?\nAnswer: -100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/49727912 and 19\/3825224.\nAnswer: 49727912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 7, y: 5}. Give prob of sequence ymm.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/13)\/6 - (-4)\/(-143).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87, -84, -71, -42, 9?\n\"Answer: u**3 - u**2 - u - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*p - 2 - 4 - 5 = 0, 28 = 7*f - p + 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + x + 95, 0 = -l - 3*x + 35 + 10. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*(-12)\/(-9). Suppose h - 4*h = -3. Solve t = -x*z + 11, -3*z + t + h + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.18, -175, 1, 3?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4048 = 4*n - g, 3*n - 5075 = -2*n + 5*g. Suppose -5*z + 1410 = d, -4*z + 3*d + 136 = -n. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(4*(-3)\/(-24)). Suppose 535 - 71 = f*i + q, 0 = -4*q + 16. Calculate the remainder when i is divided by (22\/(-5) - -5)*65*1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-10))\/((-9)\/12)*-597. Let r = -197 - y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 32 = -0*n - 3*b, 3*n - 5*b - 35 = 0. Suppose n*x - 234 = 3*l + 438, 5*l = 4*x - 548. Let j = -269\/2 + x. Is j equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3870 times 0.1\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216610 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*i**2 + 36*i**2 + 40*i**2 in the form v*i**2 + x*i + w and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9290990 is divided by 895.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-9)*x)\/x*x*x**(2\/31) assuming x is positive.\nAnswer: x**(-215\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 17}. What is prob of picking 3 j?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s + 25. Let m be x(9). Let d be (-6)\/4*(-7)\/(21\/4). Suppose -4*a + d = 2. Solve a = 2*o - 1 - m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10172060 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: Does 1 = -2\/11247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by (9660\/(-1449))\/(-1 + (-14)\/(-15)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 2*m**2 + 5*m - 11. Let t be d(-5). What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2108058 - 3286.\nAnswer: -2111344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpejcjdd. What is prob of picking 1 j, 1 d, 1 e, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l = 2*y, -y = -5*y - 149*l + 154*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and -81\/58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 24*b**2 - 24*b + 21. What is h(-25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 10:21 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/((g\/g**(-1\/2))\/g)*g))\/g)**(13\/8)*(g**(-1\/4)\/g*g)\/g**2*((g\/(g\/(g\/(g*g**(-2\/9)))))**(4\/41))**(-2\/47) assuming g is positive.\nAnswer: g**(-1751899\/277488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011100 (base 2) to base 8.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -1159*u**8\/84 - 1079*u**4\/8 + 2454*u**2. Find the second derivative of s(y) wrt y.\nAnswer: -92720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21012110212 (base 3) to base 16.\nAnswer: 229cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from spdvaddvd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/3*15\/10. Suppose 788 = 5*t - 4*s, -t + s = -141 - b. Suppose 5*a - 3*z - t = 0, 12 - 44 = -a + 3*z. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.01556 - -0.01556. Which is greater: 6146 or a?\nAnswer: 6146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 68*s - 17. Let a be n(-11). Solve -l + 3 = -2*h + a, 4*l = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755.3716 months in decades?\nAnswer: 22.96143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1776 and -27.\nAnswer: 47952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/463 (b) 8\/5 (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 7) + -3 - (1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - -81*(-4)\/(-8). Suppose m = -2*t + 44. Suppose 9 = -u + 5*d, -u - 5*d - 15 = -6*u. Calculate the remainder when u is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -r + 19, -40668*r - 29 = w - 40644*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1800\/(-16))\/(2\/(-12))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 964589557 to the power of 1\/3, to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 369160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -4, -141, 3, 5 in ascending order.\nAnswer: -141, -53, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 8 - 12 = 0. Is -3 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 11*o**2 - 2*o + 91 - 2*o**2 - 91 in the form l*o + p*o**2 + k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4 + 2. Let d be p + 4\/16 + 30\/8. Factor 1\/2*l**d + 0 + l.\nAnswer: l*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 27\/21 - (-8)\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 18139*n**2. Let u(b) = 4*b**2. Determine j(u(l)).\nAnswer: 290224*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 985776 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58233 (base 15) to base 2.\nAnswer: -1000100100000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -250\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3790100 rounded to the nearest ten thousand?\nAnswer: 3790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ororrtarto. What is prob of sequence oatr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.9 + -33. Let v = a - 1.8. Which is smaller: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.8925 kilograms in milligrams?\nAnswer: 30892500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1599955823 + -2353575823. Round y to the nearest 1000000.\nAnswer: -754000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 42*o + 44*o - 22 = 0, 5*o - 41 = -3*r. Let m(f) = -2*f**2 + 16*f - 2. Determine m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:21 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11304?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(14\/(-51)) - 18\/63. Let y be (-2 - 1*-1)\/(v\/(-84)). What is the highest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let p be (-4)\/((-5 - -3)\/j). Suppose 2*r - 4*r + 6 = 2*t, -2*r - 4*t = -p. Let v(h) = -h**2 + h + 5. Determine v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 165. Let j be w(0). Suppose 0 = o + 4*o - j. Let d = -244 + 250. Calculate the smallest common multiple of d and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 4*r - 5*b, -4*r + 158 = 4*b - 2. Suppose -r = -10*v + 6*v. Suppose -4*o = v - 34. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 6*j - 4*j)*(428*j - 177*j + 221*j).\nAnswer: 944*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86185, -85444, -84711, -83986, -83269, -82560?\n\"Answer: -4*x**2 + 753*x - 86934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 + 1)\/((-358530)\/3705) and 38\/153?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18\/(-8 - 354085\/(-44252)).\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-184)\/(-64) - 1\/(-8). Solve -c = 1 + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2679*p - 246458. What is u(-92)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*x - 24, -6 = -4*z + 2*x + 12. Suppose -z*f - 2*s - 2*s = 1600, 0 = 2*f - s + 1085. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 - 8*f + 3*f + 5*f. Let j(r) = -7*r. What is j(t(d))?\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46233550*a**2 + 6934568 wrt a.\nAnswer: 92467100*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669050270 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2279824444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 + l + 0*l - 4*l**2 + 4 + 7*l**3. Let t = 1765 - 1761. Determine s(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k. Let x(j) = 81*j. What is x(m(p))?\nAnswer: -972*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3690, -3687, -3682, -3675?\n\"Answer: p**2 - 3691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 16 = 3*r, 7*r + 5*n + 15 = 2*r. What is the units digit of (r - (8 - 5))\/(1\/(-175))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5\/3 + 145*s**4\/3 + 505*s**3 - 83045*s**2\/3 + 748510*s\/3 - 393040 = 0.\nAnswer: -24, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvsvvvvvs. What is prob of picking 3 v and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59\/83 in -5, -0.07, -253?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, 5, -5, -30.\nAnswer: -30, -23, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3437 * 11.3.\nAnswer: -38838.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22\/731 - -21231\/47515. Find the common denominator of (16\/(-140))\/(4\/(-50)) and h.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39689 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 2324*f + 264500. Let b(k) = -2*k**2 + 6968*k + 793500. Let s(m) = -6*b(m) + 17*v(m). Let s(u) = 0. What is u?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48941, 97881, 146821, 195761, 244701, 293641?\nAnswer: 342581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-996)\/581)\/((4\/(-98))\/(144\/(-112)))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 1. Let n be q(2). Suppose -g = 2*g - 4*h + 42, 0 = -n*g - 5*h - 35. Let j = 15 + g. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 2*p - 24. What is w(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986.928l in millilitres?\nAnswer: 2986928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.506 + 0.576. Which is the smallest value? (a) 1 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16068347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 662 - 32. List the prime factors of r.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:09 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-50))\/(24\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035141 to six dps.\nAnswer: -0.000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 11*v - 14*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3030626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 - 52*z**3 - 142*z**2 - 92*z = 0. What is z?\nAnswer: -23, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574617791 to the power of 1\/3, to the nearest integer?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 10. Let j be k(0). Let m = j - -3. Which is smaller: m or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + j - 18, 6*x - 10*x = j - 32 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(242) + 1) - 6*sqrt(98)*-2)**2.\nAnswer: -248*sqrt(2) + 7695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 - 7 = -4*u, -3*u + 3*r + 12 = 0. Let h = -4 + u. Let q be h\/(-11)*(1 + 1). Is q less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/1572 and -85\/1048?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-5))\/((-1)\/(-5)). Let l(b) be the first derivative of b**4\/4 - 3*b**3 + 3*b**2 - b - 63650. Determine l(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180871961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 92160688?\nAnswer: 92160691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131723 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269589 + -269590. Let j be (-3)\/((-3)\/4) - -1. Sort m, 14, j.\nAnswer: m, j, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113003233 (base 4) to base 2\nAnswer: -10111000011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Let r = 31 - 26. Which is the closest to -7? (a) -2\/7 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 1.169475.\nAnswer: 4.169475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 6. Calculate the greatest common factor of 42 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -493*v + 495*v - 16. What is the lowest common multiple of 39 and v?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -67.\nAnswer: 13\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3725 and 540.\nAnswer: 402300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/21)\/((-2)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 23*f**2 + f - 21. Let n be z(23). Factor 1\/3*r**n - 1\/3*r**4 + 0 + 0*r + 1\/3*r**5 - 1\/3*r**3.\nAnswer: r**2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 90.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 - 2*a - 2. Let b(s) = s**3 + s + 1. Let d(l) = 6*b(l) + 3*h(l). Find the third derivative of d(c) wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9960647 milliseconds?\nAnswer: 996064.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111*-0.7.\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 12*f - 128 = 322 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7881*c**2 + 38008 wrt c?\nAnswer: -15762*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20154710 is divided by 1969?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 + 50. What is the second biggest value in u, -4, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, z: 4, f: 5, p: 1, w: 1, j: 3}. What is prob of sequence jfff?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 29*o + 26 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/(-2)*2. Let h = p + -3. Does 6 divide (0\/h - 15)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441509 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h + 164. Calculate s(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**4 - 2*u + u - 27*u**3 + 17*u**3 + 2 - u**2 + 24*u**4 + 8*u**3 to the form c + i*u**3 + g*u**4 + d*u + s*u**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 65*f**5 + 3*f**4 + 56*f. Let j(n) = -131*n**5 - 5*n**4 - 111*n. Let h(w) = -6*j(w) - 10*s(w). What is the second derivative of h(d) wrt d?\nAnswer: 2720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2*v**3 - 1897*c**2*v**2 + 1748*c*v**3 - 2*c*v**2 + v**3 - 4*v + 16 wrt v.\nAnswer: -24*c**2 + 10488*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - (-5)\/(-75)*(43 - 734)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 + 2*o + 9. Let j(v) = v**2 + 6*v**2 - 3*v - 5 - 5. Let u = -34 + 40. Let i(k) = u*z(k) + 5*j(k). Determine i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 2*q**2 + 4*q**2 + (356 - 73*q - 356)*(-2*q + 0*q + 4*q) + (-2 + 3 - 3)*(3*q**2 - 2*q**2 - 2*q**2) - 3 - 4*q**2 + 3 - 3*q + 3*q - 11*q**2.\nAnswer: -158*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(66)*3)\/((sqrt(6) + sqrt(54))*5 - sqrt(6)).\nAnswer: 18*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 17 + 8. Let f be 9\/15 + (-28)\/5. Let l = j + f. Is l smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202 = 6*o + 14. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -50?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-79*(-40)\/(-347600))\/(1*1\/(-1))\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35670 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 3*v)*(-6 + 9 - 9) + (-9 - 2 + 4)*(-3*v + 2*v + 0*v))*(7*v**2 - 2*v**2 - 3*v**2).\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, o: 2, y: 3}. Give prob of sequence toy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17275 (base 8) in base 5?\nAnswer: 222434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*n - 36, -5*f - 2*n - 15 = 18. What is the third smallest value in -0.4, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2952, -2971, -2986, -2997, -3004, -3007?\nAnswer: -3006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 520 and 3066440?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(4 + sqrt(99)) + sqrt(99))**2 + (2*(sqrt(121) - sqrt(121)*1))\/(sqrt(121)\/(-2*sqrt(11))).\nAnswer: 288*sqrt(11) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*w - 551*w - 322713 + 338484 = 0 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/18 and 11\/(550\/(-1380))*(-7)\/448.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 22 = 4*o, 0*i + 4*i = -o - 12. Let y = 362 + -362.03. Put 3, y, -4, i in decreasing order.\nAnswer: 3, y, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 19961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -d. Let x be (-1)\/(2 - 20\/d). Put 1, -2, x in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 156268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 5*s**2 + 0*s**2)*(2*s - s + s) + 0*s**3 + 4*s**3 - 3*s**3 + (1 - 2 + 3)*(6*s**3 - 33 + 15*s**2 + 33)*(-1 + 4 - 1).\nAnswer: 23*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 + -4?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 27. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827006935?\nAnswer: 5, 13, 797, 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(14160\/(-1288) + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 289 (c) 4 (d) -0.1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2537 + 3222. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*k*r**2*z**2 + c*k*z + 11*c*r**3 + 2*c*r**2 - 2*c*z**3 - k*r**3 - r**3*z**3 - 2*r**2*z**2 wrt r?\nAnswer: 66*c - 6*k - 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r - 464. Let w be q(-47). Solve 0 = -5*v - 5*m, 2*v - w*v - 3*m = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -28. What is the remainder when (-247)\/(-2) - (-48)\/m is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -26, 19, -3\/7, 1123?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 33 + 0*v**2 - 25 + 8*v**2 - v.\nAnswer: 8*v**2 - v + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(3\/2))\/b*b*b**(-6\/11))**(-42)\/(b*b*b*b**4*b**(-2\/9))**(-29) assuming b is positive.\nAnswer: b**(23806\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(132) - sqrt(132))\/(sqrt(48)*-2).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 471? (a) 43 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212 + -217. Let v = 0.4 - 0. Which is the second biggest value? (a) w (b) -3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*(o*o\/o**(1\/26))\/o)\/o*o*o*o*o*o**(-2\/9)\/o)\/(o**(2\/13))**(4\/29) assuming o is positive.\nAnswer: o**(38803\/6786)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + sqrt(2299) + sqrt(2299)) + -3)**2.\nAnswer: 880*sqrt(19) + 147161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, -0.034, 4\/9, 0.044?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107453304 a multiple of 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/30 - 18*g**3\/5 - 729*g**2\/5 - 4*g. Solve f(l) = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 10*o**2 - o - 16. Let m be v(-11). Let r = m - -141. What is the remainder when 89 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 26. Let i be q(24). Is (7592\/6 - -2)*(-3)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 (base 16) in base 15?\nAnswer: -48d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6960 and 1843008.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1651*a**6\/120 - 353*a**4\/12 - 8*a**2 + 11*a. Find the second derivative of t(k) wrt k.\nAnswer: 9906*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.5 take away 166767.5269?\nAnswer: -166943.0269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168929390 by 84464695.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/8)\/(3\/(-6)). Suppose -5*u + 0*o - 3 = o, 5*u + 9 = -r*o. Let b = 5 - 2. Sort b, 1, u.\nAnswer: u, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -251906 - -1259526\/5. Let o = 2.04 - 0.04. What is the closest to o in -2, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-300)\/(-44) - (0 + (-8)\/44). Suppose 0 = q*k - 9 + 2. Solve 0 = 7*x - 6*x + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133922.8845 minus -0.0674?\nAnswer: 133922.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bcbbbbcbcbbbbbbbcbbb.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11120 and 9.\nAnswer: 100080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -55\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-1*-6)\/(2*sqrt(360)*-5))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 14*k - 10 - 1 - 2 - 4*k. Let n be f(2). Let g(h) = -h**2 + 7*h - 7. Determine g(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.6 and 12.767?\nAnswer: 58.7282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**2 + 0*p**4 + p**3 + 0*p**5 + 0*p**6 + 2 + 0*p + 4\/7*p**7. What is the third derivative of f(j) wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by -5.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 35*q**2 - 145*q + 120 = 0.\nAnswer: 8\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**2*i**(2\/15)\/i)**38*(i**(-2\/3)*i)**(10\/11)\/((i\/i**(-2))\/i*i*i\/i**3*i) assuming i is positive.\nAnswer: i**(-11984\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -272 - -529. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o*o**(1\/2)\/o)**(-37)\/((o\/(o*o\/((o\/(o\/o**(2\/5)))\/o)))\/o**(2\/7))**(-2) assuming o is positive.\nAnswer: o**(3621\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from shsfhjhsxjyfjy.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)**(-36)*((w*w**(1\/5)*w)\/w*w)**0)**(-1\/4) assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15725.70497128 - 0.2\nAnswer: -15725.90497128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 2*m - 1. Let d be k(-2). Let 3*t + 6*t**2 - d*t**2 + 1 + t**3 + 0*t**2 = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -5)*-4)**2 - (sqrt(252) + 0)*4.\nAnswer: -824*sqrt(7) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2327, -2353, -2379, -2405, -2431, -2457?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 448705849 + -448705663.613919. Let f = 8.385051 - o. Let a = -177 - f. Round a to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (1 + sqrt(2))) + -1 - (sqrt(2) - sqrt(20)\/(sqrt(30)\/sqrt(3)))) + (sqrt(14)\/(sqrt(28)\/sqrt(4)) - -5*sqrt(2)*1)**2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -w + b + 4, 0 = 2*w + 2*b - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(4\/120*-3). Let w(l) = -9*l + 22. Let p be w(r). What is the highest common factor of p and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i + 56. Let l be m(-5). Put 3, l, -78, -2 in ascending order.\nAnswer: -78, -2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -7. Let o = b - 49. What is the closest to -2 in o, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 52*f**2 - 246*f + 1191. Determine h(56).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = 5*d + 5*l, 4*l = -3*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1701 - -1701.18. What is the closest to l in 2, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402563 and 6?\nAnswer: 2415378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by (-7 - (10 + 60))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 5\/14*w**7 + 0 + 2*w - 6\/5*w**6 - 3\/20*w**5 + 3*w**4 - 2*w**3 + 0*w**2. Find c such that f(c) = 0.\nAnswer: -1, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 + 5*i + 10. Let a be s(7). Suppose 4*m = 6*p - p + 27, 0 = -2*m + 4*p + 18. Let n(z) = -3 - m*z + 0*z - 2. Calculate n(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-10)*10\/2. Let d be 3\/((-6)\/(-8) + 0). What is the second derivative of 0*i + 0*i**d + p*i - i**4 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:47 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 892\/1338*(212\/(-8) - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*f - 1 - f)*(-18 + 54 - 20).\nAnswer: -16*f - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974158 is divided by 10918.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 - i**3 + 17*i**3 + 124 - 5*i**3 - 5*i**3 to the form k + w*i + d*i**3 + m*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2102922082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -75*o - 1702 + 4654 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 156, -2623.\nAnswer: -2623, -1, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 - 11*m**3 - m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1006 = -7*s + 3218. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -37*t + 2015. Calculate m(63).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 34 = -3*l. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-5))\/((-3)\/(-4)*22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1)\/p*p))**(-43))**(-1\/19)\/(((p**(-1\/3)\/p)\/p)**(-19))**(-2\/23) assuming p is positive.\nAnswer: p**(10988\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(8*a - 8*a - 18*a**3).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -1.8.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43287777 and 2.\nAnswer: 86575554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30536 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 402785 + 271168 = 5*t, 0 = -3*t - 4*c + 404375. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + 55*a + 17*a. Sort -1\/2, a, 1\/6, -3\/22.\nAnswer: -1\/2, -3\/22, a, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2075, -4151, -6227, -8303, -10379?\n\"Answer: -2076*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*l - 27. Let i(s) = -3*s**2. Let z(a) = -a**2 + 45*a + 42*a - 87*a. Let m(w) = l*z(w) - 4*i(w). Let t(h) = 5*h**2. Give t(m(c)).\nAnswer: 20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2434 - -4587. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3377.8 - 3378. Suppose -2*k = -7*k. Which is the nearest to y? (a) k (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -70. Let 1\/4*n + o - 1\/4*n**2 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0.0801?\nAnswer: 9.0801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -55877850 divided by 98550?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -130.\nAnswer: -130, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 39999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/(-14))\/((-394)\/12411).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-28))\/(55\/66))\/(1\/(-7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 1 - 10 = -3*g, -4*o = -g + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 2, h: 3, b: 4}. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n*r**4 - 4*n*r + 11*n + 7744*r**4 + r - 4 wrt r.\nAnswer: -24*n*r**2 + 92928*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + r - 2)*(1 + 2 - 1) - 50*r + 3*r - 5*r to the form a + q*r and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 2*k - k + (-2 - 4 + 5)*(-32*k + 51 - 51).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l + 93. Let h be f(-11). Suppose -15*v + 14*v = -h. Solve v = -5*a + 3*c + 2*c, 5*c + 7 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*i + 19 = 0, y + 11*i + 26 = 6*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -428, 1051, -0.2 in decreasing order.\nAnswer: 1051, -0.2, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1*5\/1. Is (-3 - v)\/(1\/7 + 0) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ad6 (base 14) to base 12\nAnswer: -12b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 7 = -2*t + 7, 5*r = -2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 750 + -750.1. Let x be 15\/65*(-4)\/6. What is the closest to g in -2, -1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (2 - (12 + -1)). Suppose 5*w = c*w - 34. What is the lowest common multiple of w and 12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.71 - -97.29. Let b = -98.9887 + j. Round b to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 4. Let d(r) = 5 - 2*r + 5*r - r - 4. Let j be d(1). Give t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44.3 in 0.05, -0.3, -1\/3, -6\/5, -2\/9, -235?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/48 + (-6 - (-12)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Calculate (9*(-44)\/385)\/(2\/135) - 964\/1687.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10585, -5, -4, -3, -1 in descending order.\nAnswer: 0, -1, -3, -4, -5, -10585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Let u be ((-1)\/4)\/(2\/(-8)). Let f be (-4 - (u - 4)) + 6. Solve -f*n - 23 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 22*g**2 + 26*g + 17. What is c(-23)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 119 = 5*r, -54*n + 2*r = 8*n - 67*n - 211 for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = w, 0 = 5*w + 3*f - 2*f - 72. Let r be 3\/(-2) - w\/(-12). Let m = 2 - 5. Which is the second biggest value? (a) r (b) -2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, -1\/6, 0.0266?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81961?\nAnswer: 11, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 48*x = 469*x - 2068 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 136788360.\nAnswer: -27357672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12733 - 12746. Which is the smallest value? (a) -8 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*w + 9175 = 0, -2*z + 4589 = 3*w - 6*w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2190\/4380*(-5)\/(10\/84).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 22. Let n be ((-114)\/(-18) + -5)\/(2\/6). Sort -3, o, n in descending order.\nAnswer: n, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*c*h**3*y**2 - 113163*c*h**3 + 2778*c*h*y**2 wrt y?\nAnswer: -30*c*h**3*y + 5556*c*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 5*y - 45 = 2*t, -2*y = 5*t - 52. Let w(a) = -a**3 + 11*a**2 - a - 88. Let m be w(t). Sort m, -6, -2 in ascending order.\nAnswer: -6, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*v + 86496 = 10360. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-15)\/(-4))\/(6*8\/768) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 75, 117, 159, 201?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 plus 447316?\nAnswer: 447412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 8*c + 6. Let f be j(-5). Let s = 23 + f. Suppose 0*h = -h + s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-14) + (-22)\/(-28) + 599518\/14 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + x + 0 + 7)*(11 - 3 + 3)*(-5 - 1 + 2).\nAnswer: -44*x - 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 - 6*g + 5. Let a be k(4). Let y = 8 + a. Suppose 0 = -3*l - 2 + y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3827.8 - 3834.8. Let g = 5 - 8. What is the fourth biggest value in 1, g, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727 = 3*j + 58. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 38?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -673.36479 rounded to 1 dp?\nAnswer: -673.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -19. Let y be 28\/6 + 2\/(-3). Which is the nearest to k? (a) y (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 53.42. Let h = 448.42 + o. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173641093 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*r - 10 - 6 = 2*p, -5*p + 36 = -14*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ea3b8 (base 15) in base 6?\nAnswer: -52113015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241956 a multiple of 572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1526344, -3052692, -4579040, -6105388, -7631736, -9158084?\nAnswer: -10684432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109.9 - -110.1. Which is the biggest value? (a) -298 (b) f (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 20*a + 6. Let d(w) = w**2 + 4*w + 1. Let x(r) = 11*d(r) - 2*t(r). List the prime factors of x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -14*w**4 + 21900*w**3 + 31301370*w**2 - 71647760*w + 17915064 = 0.\nAnswer: -907, 2\/7, 2, 2469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 11 - (0 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 61. Let i be 10\/(-30)*(0 + -6). Suppose -i*j - 2 = 2*d, -4*d + 2*d = 3*j + 1. Put j, 0, q in increasing order.\nAnswer: 0, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.1 + 8.147. Let x = t - -0.953. Let p = 1.1 + -1. Which is the nearest to p? (a) 7\/5 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12)\/x)\/((((x*x\/x**(-15)*x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9774641 is divided by 1062.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.7. Let r be 4\/22 - 420\/(-110). What is the nearest to -12 in -5, i, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8517 and 25551?\nAnswer: 25551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-40))\/((-30)\/(-72)) - (-25)\/((-12250)\/2996).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21296.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c25589 + -11?\nAnswer: -8c2559a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 255\/50 + -62 + 56.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 t when four letters picked without replacement from {t: 17, z: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 5*l + 11. Let v be g(0). What is the highest common factor of 44 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/109, 3\/2, -0.06 in decreasing order.\nAnswer: 3\/2, -2\/109, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.18, -2\/11, 227\/3?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 + 4*n**2 + 3*n + 2. Let c be a(-2). Let i = c + 25. Let y(b) = 11*b**2 - 6*b + 4. Is y(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 179129563 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h. Solve h = 3*l + 9 - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3595?\nAnswer: 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 4) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 5.\nAnswer: -96\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/1506, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 10809177*v + 129710556.\nAnswer: -3*(v - 3603071)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -879\/2*s**2 + 7203\/2 - 21315\/2*s - 9\/2*s**3 = 0. Calculate s.\nAnswer: -49, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3590 * -0.773.\nAnswer: -2775.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72472 or 72473?\nAnswer: 72473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -32*l - 794. Give k(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**3 + 7400*o**2 + 2769200*o + 294124000 = 0.\nAnswer: -1390, -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1270596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/17? (a) 2 (b) -5 (c) 8 (d) -1\/4 (e) 4\/7 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 8) to base 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 297 = b. Let y = 4185\/2 + -2056. What is the common denominator of (9\/(-2))\/(b\/(-51)) and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, p: 1, t: 2}. What is prob of picking 1 k and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7929 take away 0.093?\nAnswer: 0.6999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 2*y - 1. Let i be s(3). Let a be -1 + ((-12)\/i - 2). Sort -1, a, 4, -5 in descending order.\nAnswer: 4, a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = -2*i + 4*d, -3*i - 18 = 3*d. Put 4, -60, i in decreasing order.\nAnswer: 4, i, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -32\/31, -0.5?\nAnswer: -32\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153\/4 - -38. Let p = 206\/7 + -29. Which is the closest to -0.1? (a) -2\/3 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 2\/5, -21, -4, -214\/13.\nAnswer: -225, -21, -214\/13, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 + -202 + -3 + -5 + 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 15 (c) -1\/14 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from waxlf. Give prob of picking 1 a, 1 f, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 2*c**7\/21 - 3*c**4\/4 + 13*c. What is the third derivative of l(u) wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 - 3*n + 2. Let d be j(4). Let l = 8 - -14. Calculate the remainder when l is divided by d\/(-10) + (-2)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + 8 + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0422698 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 330\/(-200). Let m = 1\/725 - 727\/1450. Which is the biggest value? (a) 2 (b) m (c) t (d) 2\/157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510112262240 - 18\nAnswer: -510112262258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 2 = 0, -2*w = -5*y - 4. Solve -5*k - 8 + 3 = y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10535 + 1045. List the prime factors of u.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (0 + 0)) + 0\/(-1). Let n(s) = s + 3. Let o be n(0). Solve 0 = -o*x + 3 + b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -2*(-405)\/24 + (-6)\/8 and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x - 9*x**2 + 5*x**2 - 35*x + 5*x**2 to the form n + w*x + i*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3488 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Is ((-6)\/9)\/(l\/(-186)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936092.\nAnswer: 2, 41, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(120))\/(sqrt(10) - (sqrt(10) - (sqrt(10) - (sqrt(10) + sqrt(360) + sqrt(40))))) - (sqrt(432)*1 + 1 + -5))**2.\nAnswer: -94*sqrt(3) + 6883\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587 + 1587 + 277*w**3.\nAnswer: 277*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/((-275)\/25)*((-1540)\/14)\/11?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-10))\/(12\/(-30)) + -5. Let k be (1 - (0 + 1)) + 40. Calculate the smallest common multiple of 6 and ((-18)\/(-15))\/(t\/k).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 56 - 185. Suppose -f = -2*z - 221. What is z rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1580506 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 376356.6 * 0.5.\nAnswer: 188178.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*x - 120340 - 164058. What are the prime factors of x?\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*r - 8. Let x = -4 + 4. Let c(f) = -2*f + 3*f + x*f. Give c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - (0 + -19 + -20 + 21) - (-8 + 0).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.7 + -0.3. Let i = c - -4. Put 0.1, -1, i in decreasing order.\nAnswer: 0.1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + (-6 - 3) + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**6\/60 - 3*p**4\/4 + 8*p**3\/3 - 15*p**2\/4 - 64*p + 2. Find h, given that b(h) = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 1072\/40 - (-18)\/15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-868)\/(-84) + -11 + 65\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 208217229 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-304552)\/(-24)*(0 + 1)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*z - 5*u, -u - 12 - 18 = -3*z. Let m = 21 - z. Suppose -h = -5*w - 22, h - 4*w - m - 15 = 0. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22041 (base 5) to base 7.\nAnswer: -4302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.8 + -8. Let p = 0.2 + h. Let t = -14 + 14. What is the nearest to 0.1 in p, t, -6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*f**2*o**3 - 5*f**2*o**2 + f**2*o - 2*f*o**3 - 3*f*o + f + 2 wrt f.\nAnswer: -58*o**3 - 10*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**3 - p**2 + 7*p - 3. Let z(u) = u. Let f(w) = g(w) - 5*z(w). Let q be f(-2). Factor q - 21 + 3*h**2 - 36.\nAnswer: 3*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 46*m - 80. Let f be q(-21). Suppose -t - 38590 = -f*n, 3*n = -5*t + 7*t + 28945. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8485023314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 824.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -4 - 22) + 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)**(15\/2)*(x\/(x*x\/(x*x**1)*x*x)*x)**25)\/((x\/(x\/(x*x\/(x\/x**(1\/4)*x)*x)))**10*x**(-2\/7)\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(-139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r + 39*r = 1701. Let u(s) = 9*s - 5. Let c be u(-5). Let b = -28 - c. Is b less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c - 87 = -439. Suppose 0 = 3*s - 212 - c. What is the greatest common divisor of 24 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-340)\/90)\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 2*s + 4*s**2 - 20 + 8 - 6*s - 1. Differentiate y(j) wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245251320 + -54?\nAnswer: -245251414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.094294 * -264.\nAnswer: 24.893616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Suppose 0 = -n + 89 - 90. Let k(g) = -5. Determine n*k(q) + 5*v(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (0 + 2)) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/96*(-45)\/(-50)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -393, -795, -1199, -1605, -2013, -2423, -2835?\n\"Answer: -x**2 - 399*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -2 - (-3 + (1 - -5)). Suppose y = -20*i + 18*i + 18. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/106352 and 19\/136.\nAnswer: 106352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15402 = 59*v + 144*v + 703*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -14. Suppose v*x = 23*x. Suppose 5*l + 15 = 5*p + 90, x = 2*l - 4*p - 28. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g - 330 = 15*g - 19*g. Which is the second biggest value? (a) -1 (b) g (c) 0 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -17. Suppose 2*b - 10 = 0, 8*k - 13*k - 5*b = 35. Is 20 a factor of (-1089)\/k - r\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i + 5. Let c(w) = 79613*w. What is c(d(h))?\nAnswer: -1114582*h + 398065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let i(u) = -5*u**2 - 27*u + 4. Determine b(i(y)).\nAnswer: -10*y**2 - 54*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(272) + -3 + (sqrt(85)\/sqrt(5) - sqrt(17)).\nAnswer: -3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*g - 42*g = 280 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:18 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267444644?\nAnswer: 2, 23, 89, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/120 + z**4\/24 - z**3\/2 + 8*z**2. Let r be q(-2). Solve -r*o = 4*w + 24, -20 = 4*o + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 43.38781 kilometers?\nAnswer: 43387.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2625)\/(-225)*((-72)\/(-21))\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g, -u + 108 = -5*g + 3. Suppose 3*k = n + u, -3*k - 2*n = -6*n - 81. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*y - 9 = -89*y. Suppose 0 = 3*g + 3*x - 177, y*g - 3*x = -0*g + 177. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*m + 3. Let a be (-109375)\/(-120) - m\/(-6). Let g = a + -914. Calculate the common denominator of g and -25\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d27 - -2b?\nAnswer: 1d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61, -120, -177, -232, -285, -336?\n\"Answer: l**2 - 62*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28079*h**4 + 978*h + 4 wrt h.\nAnswer: -336948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = 44*a - 48707. What is the remainder when a is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 294?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 4*r + 6. Calculate p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*s**3 - 44*s**3 + 34*s**3)*(-s + 1 - 1).\nAnswer: 31*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 42, -5, -91, -215.\nAnswer: -215, -91, -6, -5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 6:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3, 5.3, 0.06, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -43*i**2. Suppose -5 = -5*j - 3*a - a, -5*a = -2*j + 35. Let q(k) = 5 + j*k - 5 - 3*k. Determine q(t(h)).\nAnswer: -86*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3*v = 1944 - 1927, -35*x + 5*v - 70 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35104*t + 46*t**2 - 35104*t + t**3.\nAnswer: t**3 + 46*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 1\/5, 3, 2, 0.4, 0.07, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h - 54*h - 1550 = 21*h - 53*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 19760 (c) -44\/337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, c: 7}. Give prob of sequence ccc.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4310\/25 + 26\/(-65). Calculate the greatest common divisor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/195*4\/((-8)\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5907 divided by 1969\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 - 35*d**2 - 6*d - 175. Suppose -m - 2*m + 54 = 0. Calculate the remainder when a(-12) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + h**2 - 2*h**4 + (h**2 - h**2 - h**3)*(76*h + 11*h - 34*h) - 4*h**4 - 13 + 13 + (-3*h - 14 + 14)*(-2*h**3 - 8 + 8).\nAnswer: -53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by 2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**3 - m**2)*(-71*m - 2269 + 2269) + 38*m - m + 9*m**4 - 10*m**4.\nAnswer: -143*m**4 + 37*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 4*a - 13. Calculate the remainder when l(-7) is divided by (-27)\/(-2)*(2 + 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/852144 and -79\/30504?\nAnswer: 26416464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 0*t + 4 = -212 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0627 - -0.0627. Let x = -1.4 - -1.45. Which is the second smallest value? (a) x (b) u (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, 1 q, and 1 i when four letters picked without replacement from qqieeeqeqyeebiy?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 4 - 1\/2*o**2 - o - 2\/3*o**3. Let p(r) = r**2 + r. Give -m(t) - 3*p(t).\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 403 = -300. Suppose q*p = 47*p - 40. Let h(k) be the third derivative of k**4\/12 + k**3\/6 - k**2. Determine h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5232.8771419 + -1805.8769888. Let h = 3427 - n. What is h rounded to 6 dps?\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259098 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59.6237 and 11.\nAnswer: 655.8607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 314305 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-704)\/(-1008) + (-5)\/7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -148*z + 266. Determine y(3).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3 - 11*b**2\/2 + 24*b. What is the units digit of i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 6, n: 4, a: 4}. Give prob of sequence rnpp.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1857 divide 30586647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:29 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqxq when four letters picked without replacement from fxqxqxxxqqxqqxqxxqqx?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 12 + 1 + 56)*(4 - 2 - 18).\nAnswer: -32*b - 720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16523, 3\/4, 1\/7, 0.2 in ascending order.\nAnswer: 1\/7, 0.2, 3\/4, 1, 16523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u = 0. Suppose 0 = -48*l + 42*l + 180. Solve l = -6*g - u*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**6\/480 - y**5\/60 - y**4\/32 + 38*y**2. Determine l, given that k(l) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3445527515 + 0?\nAnswer: -3445527515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45b + -5a?\nAnswer: -4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538773*t**3 + 538766*t**3 - 2*t**2 + 2*t**2 - 1.\nAnswer: -7*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*f**4*x - 3*b*f**3*x + b*f**2*x + 2*b*f*x + 277*b*x - 77168*f**3 - f**2*x - f - 6*x wrt f.\nAnswer: -48*b*f*x - 18*b*x - 463008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 6)*(-x - x + 5*x)*(-78 + 40 - 220) in the form g*x + r and give g.\nAnswer: 1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745*x - 750*x - 36 + 11 + 18 + 15.\nAnswer: -5*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/12 - 2\/8. Let c = -2.89 + 1.89. Are c and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614*h**3 + 3*h**2 - 3*h**2 + 1624*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -902243205*a**2 + 9270*a - 21232.\nAnswer: -1804486410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) -0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*c = -13, -5*y - 25 = -3*c + c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**2*i - 419*b**2*k**2 - b**2*k + 8*b*i*k**2 + 5*i*k + 26*k wrt k.\nAnswer: -838*b**2 + 16*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20b96 + -4?\nAnswer: 20b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17045*o**5 + 1231*o**4 - 37617773*o.\nAnswer: -340900*o**3 + 14772*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 6. Let g be 2 - (-5)\/((-10)\/(-6)). Suppose -5*d - g*n = -28 - 37, 1 = d - 3*n. Let v be (0 - -3)*d\/6. What is t(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 16*y**2 + 2*y - 28. Let t be o(16). Find the second derivative of -84*k + 133*k**t - 3*k**3 - 59*k**4 + 0*k**3 + 3*k**3 wrt k.\nAnswer: 888*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125439*6.\nAnswer: 752634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2739\/154 + -18)\/(6\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4484\/3 - -1511. Let f = -3 + -1. Calculate the common denominator of ((-9)\/(-2))\/(f\/7) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -5 (c) 1\/3 (d) 16 (e) 1\/2 (f) 60411\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + (sqrt(175) - (2 + sqrt(175))))**2 + sqrt(175) + 2 + sqrt(175) + -2)*5.\nAnswer: 70 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19298?\nAnswer: 2, 9649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 10*w**4 + 2 - 13*w**4 + (-2 + 3 + 4)*(w**4 - 2*w**4 + 6*w**4) + (3 - 4*w**3 - 3)*(-1 + 2*w + 1).\nAnswer: 14*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10841 - 7705. Calculate the highest common factor of 128 and i.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -20 + (-63 + 33 - -26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = -10*b - 9*b - 312 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 7, -0.2, 1.17, -3.\nAnswer: -3, -1.3, -0.2, 1.17, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 4 = -11*a. Suppose 39 = a*n + 33. Solve n*j = 2*m - 25, 2*m + 3*j + 10 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 + 19 + 0*a**3 + 3*a**3 wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 2. Let m be w(0). Suppose -2*o + 96 = m*o. Let j = -3822 - -3826. Solve 2*n + a - 4 = 0, -j*n + a = -a - o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -29649?\nAnswer: -25\/9883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 10*d - 19. Let t be r(5). Let b be 50\/18 - 10\/(-45). Let u = b + -3. Solve -12 = w - u*w - 4*m, w + 5*m = t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 24 = -145. Let n be 1*-1 + 6 + -4. Let p = n - q. Which is smaller: -11 or p?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111001011000001 (base 2) in base 3?\nAnswer: 201210201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 29*g**2 + 541*g\/4 + 777\/2.\nAnswer: (g - 111)*(g - 7)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 11021?\nAnswer: -11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-30 - (-26 + -80)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35007850*j + 252680347.\nAnswer: -35007850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from nccnncannnknfncnafn.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 1 - 7. Suppose 2*f = -5*c + 23, 0 = t*f - 4*f - 2. Which is smaller: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 304 = -17*l. Let g(u) = -4*u + 76. Let x be g(l). Which is the nearest to 1? (a) 3 (b) 9\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:12 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95284 divided by 19?\nAnswer: -95284\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -4844772.\nAnswer: 5\/4844772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/2 - 19*q**3\/6 - q**2. Suppose -d - m - 8 = 0, -4*d - 6 - 24 = 3*m. Does 10 divide g(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25274820 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-28)\/7 + -140998. Round b to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 68*t**2 - 62*t + 335. Let s be n(-67). Let d(m) be the third derivative of s*m - 20*m**2 - 1\/2*m**4 - 5\/2*m**3 + 0 + 1\/20*m**5. Factor d(g).\nAnswer: 3*(g - 5)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnejyjb. Give prob of sequence bne.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35735, -142811, -321271, -571115, -892343, -1284955?\n\"Answer: -35692*g**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 + -126 - ((-52 - (-3 - -1 - -4)) + -4).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.79, 1 in ascending order.\nAnswer: -0.79, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17781 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*y**2 + 1 + y - 280*y**2 + 0 - 314*y**2 + 988*y**2 to z*y + l + u*y**2 and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.076 + 0.076. Which is the nearest to n? (a) -1 (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15.9 + 3.9. Let l = -7 - d. Sort 3\/4, -0.1, l, -0.5 in increasing order.\nAnswer: -0.5, -0.1, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 13*f - 13. Let d be u(-14). Let q(t) = -t - 2. Let h be q(d). Let j be (6\/16)\/(h\/2). Which is greater: -1.9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -7. Suppose m + 1 = -5*h. Let n(v) = -v**3 - 5*v**2 + 5. Let l(s) = -s**3 - 4*s**2 + 4. Give h*l(p) + 2*n(p).\nAnswer: p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)*j)\/j**14*j**(2\/19)\/((j**(-5)\/j)\/j) assuming j is positive.\nAnswer: j**(-522\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 65 = 5*p, -2*l - 2*l - 39 = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10330 + 11?\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 14. Let k = s + 17. Let r(z) = z**3 + 4*z**2 + z + 1. Determine r(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 68332.19 kilograms?\nAnswer: 68332190000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2217857433 + 14.02.\nAnswer: 2217857447.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amp when three letters picked without replacement from vppmpmavmm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -11. Let v be (4 - 1*w) + -2. Let m = 6 - -10. What is the greatest common divisor of m and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f - 12 = 3*b, 0 = -4*f - b - 7. What is the common denominator of f\/2*(-581)\/(-56) and -29\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -284.\nAnswer: -11\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, w: 1, n: 5}. Give prob of sequence nw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imdnq. Give prob of picking 1 d and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -28997 times 1083?\nAnswer: -31403751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280245 and 760410?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.05812.\nAnswer: -3.05812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 3*c**2 - 2*c - 10. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -9*z - 170. What is the greatest common divisor of 85 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22688 + -22688.05. Which is the closest to 2? (a) -37 (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 + -4) - 4) + -6 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10*3*(-21)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 1 + 1 - 26*w - 54 + 54 - 4 - w + 4 + (-4*w + 0*w + 6*w)*(-1 - 3 + 6) + (2 - 1 + 1)*(-w - w + 0*w) in the form b*w + l and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -606?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 5. What is the remainder when 16 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-4*sqrt(90))\/sqrt(10) - sqrt(9)))\/(sqrt(75)*1 - (sqrt(1200) - sqrt(48))).\nAnswer: 20*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r - 76215 = -213*r + 39705. Calculate the lowest common multiple of r and 3105.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1.1, 1\/10, -1\/4, -0.1, 487?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*u = 286, -105*s + 106*s - 4*u = 284. Calculate the highest common divisor of s and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 34 + 4. Let x be ((-5)\/5 + -8)\/((-2)\/y). Let i = x + 48. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/98 + (-4)\/(-252)*-1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or 185?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 292842.5746 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 19*b**2 + 17*b + 53. Calculate f(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 + 145 - 145 + (-4*p**2 + 4*p**2 - p**2)*(-5 + 3 + 0).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 11.1. Which is the smallest value? (a) p (b) 5 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 726980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(6 + 332) - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 - (-23782)\/110. What is the greatest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 8*u - 4*u. Suppose u*p - 24 - 57 = 0. Suppose 0 = -p*a + 248 + 742. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5535\/738*8\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -530 - -6?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30843 divided by -3\nAnswer: 10281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6334560 and 89\/99600.\nAnswer: 31672800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -118*a + 134. What is the units digit of q(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89, 161, 233, 305, 377?\n\"Answer: 72*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (72\/10)\/((-10)\/(-150)*3). What is the greatest common factor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-7) + ((-616)\/98 - -6). Let z(b) = -b**3 - 19*b**2 - 17*b + 25. Let p be z(-18). Suppose 14*v + 25 = 15*v. Solve l*s + v = p*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 = -2*i. Let h(r) = -2 - r - r + i. Let q(x) = -7*x - 121. Let w(z) = 2*z + 49. Let j(m) = -2*q(m) - 5*w(m). Calculate 7*h(b) + 3*j(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -12710848.41 to the nearest 10000.\nAnswer: -12710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22\/7 + 115\/21. Let u = 3346 - 30115\/9. Which is the third smallest value? (a) -4 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/30*((-9)\/24)\/(15\/(-20))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:06 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.01 (b) 0.3 (c) 3\/7 (d) 1.1 (e) -40 (f) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 32*s**2 + 4*s + 4. Suppose 0 = -0*u + u - 20. Let d = u + -24. Let l be w(d). What is l rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/8)*l*l*l**4\/l)\/(l**(1\/3))**(-38))**10)**(-28) assuming l is positive.\nAnswer: l**(-14945\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/20 + -39\/20. What is the nearest to f in 1, 3\/7, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37498337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 429 + -292. Let k = -185 - -113. Let z = k + d. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - 7?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1204 - 374 - 545 + 31*n.\nAnswer: 31*n - 2123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:57 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12042 divided by -4014?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*2)**2 + -1 + sqrt(2057) - (4 + sqrt(153) + 0).\nAnswer: 8*sqrt(17) + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 322 + 392 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5557564 > -5557562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1470 - 976*m - 1470 to l + p*m and give p.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 39, 51, 59, 63, 63, 59?\n\"Answer: -2*z**2 + 22*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - (16 - (-3 + 12))) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (0 + -2 + 6) - (-37 + 12).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h + 3 = 0. Suppose h*s + 0*s = 30. What is the greatest common factor of s and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/60 + x**4\/24 + x**2. Let p be -2 - (2\/(-2) + -2). Let f be 2*3\/(-6)*p. Calculate s(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44766559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 16*o**5\/5 - 10*o - 11. Find the first derivative of t(g) wrt g.\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*o - 68. Let q be 32\/o + 2\/9. Find v, given that 5*v + 0*v**2 - q*v**2 - 3*v = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45198 is divided by 45092.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1200 - -1206. Solve 28 = 22*f + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1136, 2269, 3392, 4499, 5584?\n\"Answer: -k**3 + k**2 + 1137*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -490682898815 take away -175?\nAnswer: -490682898640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 10) to base 9\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13145 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b = 0. Let l(z) = z**2 + z + 5. Let q be l(0). Is b - 5\/(q\/(-22)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139618804*g**4 + 62394050*g**2 wrt g?\nAnswer: 3350851296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*l**3 - 202*l**3 - 208*l**3 - 205*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7079 divided by 7.\nAnswer: 7079\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 - 112.5. Let b = 109 + q. Which is greater: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*o - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4*(-2 + -2). Let j be n - 20\/24 - (-116)\/24. Solve -3*s = j*v + 20, s + 4*v + 0*v + 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b - 13*b + 26*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11*z**3 + 10*z**2 + 6*z - 34. Let m(o) = -31*o**3 - 30*o**2 - 16*o + 100. Let d(a) = 6*m(a) + 17*q(a). Give d(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46*(-15)\/330*(-1 - 1). Let q = s - 839\/198. Let f be (2\/(-4))\/(-1 - (-3)\/6). Which is the third smallest value? (a) 3 (b) -1 (c) f (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -28*j + 35. Let o be b(1). Solve 0 = 2*t - 2, 4*m - t + o = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**8\/2016 - z**7\/1260 + z**6\/240 + z**5\/360 - z**4\/72 + 3*z**2. Suppose s(r) = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010200585 rounded to 6 decimal places?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 10. Suppose -4*y = -3*y - 3, -2*y = p - u. Let k(d) = 36*d**2 - 2*d - 1. Let i be k(p). Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2 + 39*f**2 - 9*f**2 - 10*f**2 + 23*f**2. What is the units digit of s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359679?\nAnswer: 3, 23, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*o**3 - 8*o - 5*o**3 + 19*o**4 - 23*o**4 + 0*o**2 + 0*o**2 to the form l*o**2 + v*o**4 + h + x*o**3 + y*o and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/4)\/((-45)\/240*-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 424 - 409. Suppose a - w = -g - 1, 5*g = 4*a + 25. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*u + 20 = -s + 5*s - 10*s, 0 = 7*s - 5*u + 36 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 4*d + 1423*d**2.\nAnswer: 1423*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 207. Let s = j + 87.51. Let m = s - -0.59. Which is the closest to 1? (a) m (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26, 22, 26, 44, 82, 146, 242, 376?\n\"Answer: p**3 - 2*p**2 - 5*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 5.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004871 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 - 563 - 9*q**2 + 185 + 217.\nAnswer: -9*q**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 11*y**2 + 8*y - 83. Let g be d(11). Solve -2*v = 2*v, -2 = -f + g*v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1711*t**2 - 3436*t**2 + 1724*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1567 - 6265\/4. Which is the nearest to 2\/17? (a) r (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - h**3 - 4785*h + 9588*h - 4693*h + 5*h**3.\nAnswer: 4*h**3 + 110*h - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1766, 1769, 1774, 1781, 1790, 1801, 1814?\nAnswer: 1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215625133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15156a84 + -1?\nAnswer: -15156a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269333, 538672, 808011?\nAnswer: 1077350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 80*i + 782. Let o be c(-17). Solve -2*n - 4*w - 1 = 11, -n + 4*w + 6 = o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 + 3*g**2 - 5*g**2 - 405 + 232.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (50 - 49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19088402 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5444 + 5450. Solve -5*h - c - 13 = 0, 2*h + 2*c - 2 = s*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30352885, -30352884, -30352883, -30352882, -30352881, -30352880?\n\"Answer: r - 30352886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 - -274. Let q = 79 - i. Let m = 36 - 34. Solve m*o - 1 = q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21123*-2.\nAnswer: 42246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-100))\/((-1)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -617 = -7*j + 895. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-8)*(-2)\/15\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 8*i - 3. What is the lowest common multiple of z(-6) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146ab0 - 24?\nAnswer: -146b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 12 = 2*a, y - 6 = -2*a + 5*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 16*h**2 + 59*h**2 + 49*h**2 - 20*h**2.\nAnswer: 72*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 5*c**2\/2 - 5*c - 53. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016350228 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*w + 102, 0 = -4*m + 2*m + 8. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6991.4086 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u - q + 2, -4*u = 4*q - 24. Solve u*f + 0*f - 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 4*o = 24 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/32)\/(7\/168)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-6 - -10 - 29) + 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brrjbabrrbrrbbbarbbb. Give prob of picking 1 j, 1 r, and 1 b.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 14*g. Let o(k) = k**2 + 352*k. Give n(o(v)).\nAnswer: 14*v**2 + 4928*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -948*(13 + -53) - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 26)) + (7 - -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5255 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 212 + -22. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.068, -3, 84, -1\/9 in increasing order.\nAnswer: -3, -1, -1\/9, 0.068, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655383?\nAnswer: 3, 218461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*(d*d\/(d**(-1\/2)*d))\/d)\/(d*d*d\/(d*d**(1\/5)))**(-13\/4) assuming d is positive.\nAnswer: d**(267\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1997 + -3388\/605091. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100000110100 (base 2) to base 14\nAnswer: -aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 27*l**2 + 1163*l + 710. Determine v(-50).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(847) + sqrt(7) + (sqrt(252)*1)**2 + -5*(1 + -1 + sqrt(7) - sqrt(56)\/(sqrt(32)\/sqrt(4) + sqrt(8)))**2 + 1.\nAnswer: -21*sqrt(7) + 977\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -24*a + 73. Is a at most as big as 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-1*2)\/(-2). Let l be (-1)\/((-1)\/x*1). List the prime factors of (2 - 1)*l*10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 3. Let o(w) be the third derivative of -w**6\/120 - w**3\/6 - 4*w**2. Let s be o(0). Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 708*t - 17474 + 8737 + 8737 as y*t + s and give y.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/4 + 35*c\/4 + 153\/2 = 0.\nAnswer: -18, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 786.264 millennia in centuries?\nAnswer: 7862.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164837 <= -6334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 537178 to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.6. Let d = -0.1 - a. Let s = -0.159 + 0.059. What is the nearest to s in d, -1\/8, 0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -3*d + 20*d - 16998600. What is d rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 8*c + 7. Let x be v(-2). Sort x, -1, -20, -11.\nAnswer: -20, -11, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 10*g - 2*p + 2208 = 0, 0 = 4*g - 3*p + 2210. Which is bigger: -552 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 6. Let a be g(-2). Let d = a - -75. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2409\/2 - 1204. Let -k + 3\/4*b**2 - 1\/4*b = 0. Calculate b.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9714 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p - p**2 - 2*p**2 + 21 - 28*p.\nAnswer: -3*p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:37 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 16. Let c be d(-12). Let h = c - 4. Suppose -4*r = 1 + 7. Sort h, 6, r in ascending order.\nAnswer: r, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glli when four letters picked without replacement from lgimgmgdimlpi?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -740*a + 516520. Determine c(698).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.008 - 0.452. Let o = j - -0.45914. Round o to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114034, 105665, 91716, 72187, 47078?\nAnswer: 16389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37656 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*o + 12329 + 5213, -3*s = -5*o + 17533. Let c be 10\/(-15) + s\/330. Let f = -68\/11 - c. Calculate the common denominator of 133\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8290 = 11*v - 8408. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 894?\nAnswer: -893.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 10*y**2 + 3*y - 1. Let k(s) = -s**3 + 5*s**2 - s. Let d(a) = 5*k(a) + 3*t(a). What is the tens digit of d(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 86368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + 10 + 16\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59483299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -3\/4, -1, -0.5, -2\/17.\nAnswer: -122, -1, -3\/4, -0.5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/192 and (253 - -1)*(-8)\/288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:30 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - w = -9, 3*a + w - 11 = 6*w. Suppose -15 = -3*o, -a*q - q - 2 = -o. Sort 2, -18, q.\nAnswer: -18, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825586528.\nAnswer: 2, 3, 3851, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -266932.2.\nAnswer: 4804779.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900716824.\nAnswer: 2, 17, 13975859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 6:54 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = -r - 0, -2*g + 25 = -5*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 8*s**2 + 7*s + 5. Let y be p(-7). Factor 5*t**5 + 16*t**2 + y*t**4 - 9*t**2 - 12*t**2 - 5*t**3.\nAnswer: 5*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 3.1. Round z to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 46*j + 130. Let g be p(48). Suppose t - 92 = g. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 3*m. Let o(a) = 12*a + 571. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccfcfcfcffffcffcqff. What is prob of sequence qfqc?\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/((k*k\/(k**(-2\/35)\/k*k))\/k))\/(k\/k**(-8\/9)))\/(k**1*k*k)**(-47))**(-4\/19) assuming k is positive.\nAnswer: k**(-176468\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 276 = -10*r. Let z = 50 - r. Let n = z - -21. Solve -12 = -n*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*k - 97965 = 0, -3*h - 3*k + k + 58783 = 0. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 38. Suppose y*r - 33 = -z - 10, -5*r = -20. Solve 4*l + 7 = -z*u, -4*l - 28 = 2*u - 6*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -6*m + 8*h - 18*h + 70, 2*m + 7*h - 66 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212862166337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and 75\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2 + t**3 - 2*t - 2 + 0*t**3 + 12*t**2. Suppose -a + 1 = 0, 11 = -4*k - 6*a + a. Let o(q) = q**3 + 3*q**2 - 3*q - 3. Determine k*o(c) + 6*b(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46378 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y*y**(10\/9)\/y*y)\/y)\/y)\/((y\/y**(3\/8))\/y*y))**(-39\/4))**(4\/41))**(-4\/43) assuming y is positive.\nAnswer: y**(-481\/10578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -135*j + 2. Let i(k) = k - 28. Calculate h(i(x)).\nAnswer: -135*x + 3782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) -65 (d) -131 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -337*q - 344.\nAnswer: -337","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 5 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 23. Determine s(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76256 is divided by 693?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.7. Put 0, -1\/6, q in decreasing order.\nAnswer: q, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5*x + 2 + 3*x)*(-3*x - 13*x + 0*x) to r + a*x + y*x**2 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283*t**2 - 25*t**3 + 1283*t**2 + 109*t**3.\nAnswer: 84*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71307 is divided by 317?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*h - 177 + 184 + 4*h**2 - h**4 + 4*h + 4*h**3 to w*h**4 + a*h + m*h**2 + t + f*h**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 304396050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*g + 47*g + 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5359 + 5366 = n, -5*n - 5 = -5*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117560 by -2939.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 1, 3\/35, 3.14, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6370, 6369, 6368, 6367, 6366, 6365?\nAnswer: 6364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**3 + v**2 + 9*v + 5. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1444 - -1662. Solve 12*y + 194 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545716 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*((4*(sqrt(500) + 0) - sqrt(500)) + 4 + (sqrt(500) + 1 - sqrt(500))**2 + sqrt(500) + sqrt(500)).\nAnswer: -200*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3263782 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 4*sqrt(7) + -1)**2 - (2 + -2 + sqrt(7) - sqrt(7))) + 2*(sqrt(63) + sqrt(5103)*3)\/sqrt(9).\nAnswer: 46*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 208, 218, 240, 280, 344, 438, 568, 740?\n\"Answer: s**3 + 3*s + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:35 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -5*r + s, -2*r + 6*r = -4*s + 72. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.6 in 0.3, 22, 0.45, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3 + 3 + w**2 - 3*w**2 + 2 + w**3. Let x be l(3). Solve 3*t = x + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/17454)\/(56\/31676322). Let o = s - 8\/2909. Let n = -233\/8 - o. Find the common denominator of -19 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -43130?\nAnswer: 43127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1215955.85442 and 0.345?\nAnswer: 1215956.19942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (2 - -1) - (100 + -5904) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 25*y**2 - 41*y**2 + 19*y**2. Let a(c) = -16*c - 1. Determine x(a(k)).\nAnswer: 512*k**2 + 64*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -688, -966, -1194, -1366, -1476, -1518, -1486?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95280.97 nanometers in centimeters?\nAnswer: 0.009528097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 299 - 593 - 18*n + 294. What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 1. Suppose -6 = 4*n - o*n. Suppose 47 = 3*t - 2*d, -n*t + 75 = 3*d + 18. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/60 + p**4\/2 + 3*p**3\/2 - p**2. List the prime factors of r(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3841*h + 1. Let y(k) = 1929*k - 1. Let m(j) = -3*d(j) - 5*y(j). Let s be -11 + 1\/2*4. Let w be m(s). What is w rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186.9 - -200. Let a = k - 13. Sort a, 3\/4, 0.2 in descending order.\nAnswer: 3\/4, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 2581221256?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 2*u**2 + 3*u + 2. Let z be d(3). Suppose -3*p + 737 = -5*l, -p + 6*p - z*l - 1203 = 0. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i - 2*i)*(4*i - 4*i - 2*i) - 1360*i - 235*i**2 + 1360*i in the form g + d*i**2 + f*i and give d.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -5, -77.7, 3.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 2929.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -1204034?\nAnswer: 1204034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 0)\/(-1*(-2)\/(-6)). Suppose 0*w = -c*w. Suppose w = -0*k + 3*k. Solve k = g + 4 - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2664*b**3 + 2*b - 2664*b**3 + 324 + 445*b**5 wrt b?\nAnswer: 8900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 75*w**2 - 135*w - 65.\nAnswer: -5*(w + 1)**2*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 9*r**2 - r - 7. Let u be d(-9). Let t = 5 - u. Solve -3*j = -t*p - 3, 1 = -3*p + 2*j - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g + 226. Give l(-28).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2197 + 20*p**2 + 2194 + 12*p**2 as i*p**2 + y + u*p and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 67 - 73 = -4*y, 0 = y. Calculate the common denominator of 16\/9 and -1 - 2 - (-170)\/o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {m: 1, r: 1, j: 2, h: 4, g: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(294)*3 + sqrt(294) + sqrt(294))\/((sqrt(200) - 4*sqrt(200)) + sqrt(200)))**2*-2.\nAnswer: 441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 55, 3, -5 in decreasing order.\nAnswer: 55, 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1077, 132, -2 in descending order.\nAnswer: 132, -2, -1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 1\/1512*l**8 + 0*l**3 + 0*l - 1\/540*l**6 + 8*l**2 + 0 + 1\/945*l**7 + 0*l**4 - 1\/270*l**5. Factor g(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -127, -280, -505, -808, -1195, -1672?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 62 = 14. Let r be 5\/10*20*3\/t. What is the nearest to 0.2 in -3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -2388.\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaeajajjjjja. What is prob of picking 1 e and 2 j?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - h + 4*h - 6, -23 = -5*f - 2*h. Suppose 0 = -f*y - 122 + 347. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494951 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.4746 - 0.0254. Let g = 62.678 + y. Round g to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-4) + (0 - -2). Let o(j) = 9*j**2 - 2*j**3 + 9*j + 3*j**3 - 1 + 0 + 6. Let q be o(-8). Which is the nearest to q? (a) 3\/7 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757.981um in millimeters?\nAnswer: 3.757981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5644*i + 272. Let q(x) = 62*x - 3. Suppose -85 = -49*s + 62. Let a(v) = s*g(v) + 272*q(v). Let n(d) = 3*d**2. What is a(n(j))?\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 2. Let p be a(2). Let d = -2 - p. What is the greatest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 + 69*b - 275. Give t(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - (2 - (-4 + 3)). Let c be 60\/h*(-3)\/(-6). Calculate the highest common divisor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(576)\/(sqrt(12)*-2 - sqrt(12)))**2 - (-2 + sqrt(2352)) - (sqrt(3888)*-3 + 3)**2).\nAnswer: -104975\/3 + 620*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/24674 (b) -35 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7987763?\nAnswer: 7, 1141109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 56*v**2 + 12*v - 141. Calculate the smallest common multiple of w(56) and 21.\nAnswer: 3717","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.98cm in micrometers?\nAnswer: 5159800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.44 - -3.37. Let l = -0.02 - 0.38. Which is the nearest to 1? (a) 1\/2 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uutwuutubmtmiuumuwtm. Give prob of sequence bt.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 + b + 1. Let c be n(-1). Let v(a) be the second derivative of -a**4\/12 - a**3\/2 + 6*a**2 + 18*a. Let t be v(-5). Sort t, -2, c.\nAnswer: -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**4\/4 - 568*v**3\/3 + 1513*v**2\/2 - 3505. What is the second derivative of i(k) wrt k?\nAnswer: -18*k - 1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-8 - (-13 - 5)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0332916 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 38. Suppose -f - 7 = -6*f + 4*x, -3*f = n*x - 13. What is the greatest common factor of 9 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*(sqrt(11) + 2*sqrt(11)) + -1 + sqrt(11)*-2 + -2)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -602\/1815 + -1\/605. Suppose 12*m = 8*m + 3*q + 10, 0 = -4*q + 8. Which is the smallest value? (a) -121 (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/3 (b) 0.1 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 7 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/11 - 9\/55. Let v = 2\/5 + u. What is the third biggest value in v, 0.4, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 10*s = -w + 20, 3*s + 12 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1275.8 (b) 5 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 15 = -u. Let y be u*(4\/3)\/(-1). Suppose 2*z = y*b - 18, 3*z + 6 + 5 = -2*b. Solve -b*p = -m, 0*m + 4*m - 9 = -p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2240 - 154555\/69. Calculate the common denominator of 2 + 15\/(-72)*-1 and i.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*q - 22 = 0, 4*k = -0*q - q + 23. Let a = k + 3. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 14}. What is prob of picking 4 u?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 507 divided by -107940\nAnswer: -169\/35980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 101000000110000100001?\nAnswer: -101000000110000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4778, -4786, -4796, -4808, -4822, -4838, -4856?\n\"Answer: -g**2 - 5*g - 4772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uls when three letters picked without replacement from {s: 1, u: 2, z: 4, l: 3, j: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + 2*b)*(-6 - 2 + 2)*(-2 + 1 - 1)*(-16 + 11 - 16).\nAnswer: 252*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.095571 and -0.3.\nAnswer: -0.204429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -103. What is the closest to -1 in 5, 22, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 11334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:14 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(72) + (sqrt(72) + 2 - sqrt(72)))*3 + -4 + sqrt(96)\/sqrt(3) + -5)**2.\nAnswer: -132*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, q: 3, b: 1, n: 5, f: 1}. Give prob of sequence qi.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 8, c: 7}. What is prob of sequence cmmc?\nAnswer: 49\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 + 98 + 0*p**2 + 3*p**2)*(-2 + 3 + 1).\nAnswer: 6*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0*n - 11*n**2 + 0*n**3 + 0 - 1\/12*n**4. Let f(l) be the first derivative of -4*l**3\/3 - 3. What is f(v(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13030210231 (base 4) to base 6.\nAnswer: 104233501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {p: 1, t: 4, e: 8}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 21510\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvvl when four letters picked without replacement from {v: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104653581 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 - (5 - 9). Suppose 4*u + 11 = h*g - 25, -9 = -3*u. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + sqrt(240)\/sqrt(4))*-5)\/(sqrt(108)*4))**2.\nAnswer: 125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*297\/18. Let r = 16 - v. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 918093794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7520, -1, -14, -6, -5.\nAnswer: -14, -6, -5, -1, 2, 7520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -4*i**6 - 12*i**5 - 51*i**4\/8 - i**3 - 11. Determine l so that t(l) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36870.771 - 11.45?\nAnswer: -36882.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037 and 22627?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 215, 505, 989, 1667, 2539, 3605?\n\"Answer: 97*r**2 - r + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951867473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 8*u**2 + 9*u + 6. Let f(j) = -2*j - 4. Calculate the lowest common multiple of s(9) and f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534.\nAnswer: 2, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -10\/13 (c) -1\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0 - 5\/24*z**4 + 0*z**3 + 4*z**2 + 0*z. Let u(m) = -2*m**2. Calculate u(t(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -19. Let l = -2 - w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 - -280. Solve -2*v + 2*l - 7 = -3*l, y = -5*l + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 10. Let c be o(-6). Let u be (2 - 3)*c\/8. Is 2 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - -7 - (811 - 823) - -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/(16\/(-8)). Let r be (((-16)\/10)\/4)\/(-2). Which is the biggest value? (a) 0 (b) r (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1676 - 1171. Let z = g - 292. List the prime factors of z.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, n: 5, o: 1, x: 3}. Give prob of picking 2 n.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 3*r + 2. Let s = 1291 + -1287. Let t(c) = -3*c**2 - 2. Let q(b) = 3*b**2 - b + 2. Let u(v) = -4*q(v) - 3*t(v). Determine s*w(f) + 3*u(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n - 14. Let z be o(5). Let b = 9 + z. Let u be 32\/10 - b\/(-100). Solve -u*r - 1 = -10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 39. Suppose -3*r - 8 = d*b, 0*b - 12 = 2*b + 4*r. Let g(f) = b*f**2 + f + 85 - 85. What is g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Let m = 1256\/5 - 252. Which is the nearest to 1? (a) m (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, l: 6, o: 1, t: 6}. What is prob of sequence lx?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-459)\/(-15) - (-4)\/10. Suppose -6*v + w = -5. What is the remainder when 24 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112056090 times -6\nAnswer: 672336540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -3 - 18\/(-20). Put d, -0.3, -2 in decreasing order.\nAnswer: d, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-930))\/((-2)\/2580*3)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 6*o = -280. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/14)*488\/(-854)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578003.\nAnswer: 137, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, -2, -1, 17 in increasing order.\nAnswer: -13, -3, -2, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26486, -52971, -79456, -105941?\nAnswer: -132426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24542748, 24542752, 24542756, 24542760?\n\"Answer: 4*z + 24542744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + 146. Calculate the greatest common factor of 74 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12555568 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2000 and 79\/21000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, 9, 3, -612, -0.2 in increasing order.\nAnswer: -612, -0.2, 0.4, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (43 + -18 - 17) + (-16 - (-9 + 6)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 1.06. Which is the third smallest value? (a) -3 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 147*h + 308. Let d be z(-2). Solve d*a - 28 = 28*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-8) - 126\/(-12). What is the greatest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**3\/2 - 37*g**2\/2 + 22*g. Let d be l(-14). Let z = 138 + -136. Solve -d*o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-20))\/((-21)\/(-30)). Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 70 = -4*m. Let n = m - 25. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(6*z + 6*z - 11*z - 2 - z + 2 + (3 - 4 + 3)*(3*z - 4*z + 0*z) - 2*z + 0*z + z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13171169 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2)\/((-9)\/27) - -1. Suppose -14*s = -l*s - 4655. Suppose -s = -16*q + 11*q. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481063057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 1. Let v(o) = o**3 - 5*o - 2. Let t(z) = 5*i(z) + v(z). Let w be t(4). Let f = w - -14. Solve -5*g - 14 = 5*l + f, 5*l = g - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b**3 + b**2 + 2*b - 6. What is the remainder when 179 is divided by a(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 - 1)*(2 - i - 2) - 164*i - 25*i + 38*i)*(140 + 84 - 12 - 38) + (3 - 3 + 2*i)*(0 + 0 - 1) in the form o*i + j and give o.\nAnswer: -25928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8387*i + 1221*i = -15978*i - 3450*i + 929152 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -2, -2\/13, -3 in decreasing order.\nAnswer: -0.07, -2\/13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 - 476 = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 115 = 0. Solve -4*s = g - 6 + 20, -5*s = 4*g + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 5*x**2 - 10*x + 8. Suppose 5*b - 78 = -8*b. What is k(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31379, -62752, -94127, -125504, -156883, -188264, -219647?\n\"Answer: -y**2 - 31370*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 160, 157, 162, 181, 220, 285, 382, 517?\n\"Answer: l**3 - 2*l**2 - 4*l + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5 + sqrt(171) + sqrt(171) + sqrt(171) + 2 + sqrt(171) + sqrt(171) - sqrt(171))**2 - sqrt(171)) + sqrt(171) + -3 + 2 + sqrt(171)).\nAnswer: -13720 + 345*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Suppose 225*c = 221*c - 20. Calculate z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98146 times 522\nAnswer: 51232212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + 366 + -383 + 0 + 11 + 15?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (-10 - -29) - 19\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4 + sqrt(8)\/sqrt(4))**2 - (-3 + (-1 + sqrt(2))**2)).\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1. Let z(b) = 2*b + 6. Let p(i) = 24*s(i) - 3*z(i). What is the derivative of p(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:25 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -13, -91, -2742?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*p = -120*p + 1632. What is the remainder when p is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 52*h - 197. Determine t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 2*r**2 - 2*r - 17. Let s be n(0). Let c(j) = -5*j**2 - 87*j - 14. Calculate the lowest common multiple of 10\/(-4)*1*-22 and c(s).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175986 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4296 - -812.99.\nAnswer: -3483.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59368, -1, 93.\nAnswer: -59368, -1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-3)*(11 + -10 + -4)*-1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/45 - 34\/315. Let p = -1665.01 + 1673. Let o = -0.99 + p. What is the second biggest value in -2\/3, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 + 2*z + 2. Let h(j) be the first derivative of -j**3\/3 - j**2\/2 - j - 782. Let m be 2 - (-1 + 14\/2 + -2). What is m*f(y) - 4*h(y)?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p\/p**(2\/7)*((p**(3\/7)*p)\/p)\/p**(3\/5) assuming p is positive.\nAnswer: p**(124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 150*t**2 - 6732*t + 78408.\nAnswer: -(t - 66)**2*(t - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/8 + 285*x**2\/8 + 219*x\/2 + 147\/2.\nAnswer: -3*(x - 98)*(x + 1)*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29801287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 347574 and 58989?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 + 61*z**2 + 228*z + 63. Does 65 divide q(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + z + 30. Let c be t(-5). Let b be 0 + c + -3 + 8\/1. List the prime factors of (6\/b)\/(21\/2030).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3059988*s**3 - 7*s + 27703 wrt s?\nAnswer: -18359928*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0822 + 0.1122. Which is the second biggest value? (a) f (b) 7 (c) 11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1654*m + 3681*m + 1753*m as z + s*m and give s.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3879 + 3754 - 9*i + i**2 - 7693 in the form r + j*i + f*i**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 450*o + 450*o)*(-9*o + 0*o + 7*o) + o**3 - 9*o**3 - 7*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14092 is divided by 587.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 10) + (-1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2650 - -2649.7. Let s = 10 - 6. Which is the third biggest value? (a) 0 (b) w (c) 0.1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 35, 42, 29, -10, -81, -190?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 2*t + 3. Let y(g) = 5*g**2 + g + 2. Let r be y(2). Suppose -5*f = -a + 8, f - r - 29 = -4*a. Let w = a + -17. Determine s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 20 = -2*j - u, -5*j - 4*u = -5. Solve -p + 2 = 2*r, -5*r + j*p - 29 = -4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -11\/4 (b) -4 (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 15. Which is smaller: 1\/8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -13. Let g be 1\/(d\/18*3). Suppose -5*w + 5*u = 5, -g*w = 3*u - 0*u - 15. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 + 2*h - 2. Let m = 9 + -7. Let n be y(m). Suppose -n*o = -o. Solve o = -5*s + s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 731868?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*h - 17*h - 28*h + 4*h - 25*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175129?\nAnswer: 175129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 4:07 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 195*s - 307. Suppose h + h = 6. Calculate the least common multiple of y(63) and h.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.0098, -1\/2, 67 in ascending order.\nAnswer: -1\/2, -0.0098, 2\/17, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - 4.83. What is the third smallest value in p, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -79.9, 2, 0.3, -12\/5?\nAnswer: -79.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/378 and -53\/8610588.\nAnswer: 25831764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462*l + 179*l - 244*l)*(0*l**2 + l**2 - 3*l**2 + l).\nAnswer: 1054*l**3 - 527*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 5*w**4\/12 - 5*w**2\/2 + 2*w - 76. Let l(k) be the second derivative of b(k). Let v(p) = -6*p**2. What is v(l(s))?\nAnswer: -600*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 11*v**2 - 12*v + 6. Let a be m(-12). Let q be 3*2\/a + 159. Suppose 120 = 4*r - q. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1181 + (-13)\/(-26)*(10 - 0). Let h = -526 + f. What are the prime factors of h?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 5*u**2 - u + 11. Let k be f(5). Suppose 432 = -0*l - 4*l. Let a be l\/(-24) - k\/4. Solve a*y = t - 5*t - 32, -5*t = -5*y + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - ((9 - 15) + -3 - -11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 12. Suppose -19*y = -21*y - 4. Let m(c) = 2. Let j(g) = y*a(g) + 14*m(g). What is j(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 193 = -3*x, 0 = 2*x - 7*a + 10*a - 140. Find the first derivative of -245*c + 128*c + x + 171*c wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, 8\/9, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 120 + -92 + 39\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -55*h**4\/4 - 2*h**3\/9 + 905. Factor k(w).\nAnswer: -w**2*(165*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 780b81?\nAnswer: 780b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*m + 10, -3*m = -n - n + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.724 + 1.924. Which is the second biggest value? (a) z (b) 0.4 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*v**2\/21 - 10*v\/7 - 4\/21 = 0. Calculate v.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728956*p**4 - 464668 wrt p.\nAnswer: -2915824*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772167670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -933*t**2 - 4*t - 4. Let h(n) = n**2 + n + 1. Give g(r) + 4*h(r).\nAnswer: -929*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14078625 rounded to the nearest 100000?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144498460 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3234\/385*(-40)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(176) - sqrt(44)\/sqrt(4)*3.\nAnswer: 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*h + 1 - 524*h - 927*h.\nAnswer: -1097*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 521758319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/945 and 113\/60?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29798 and 20?\nAnswer: 297980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3336 = 1216. Let k = l - 188. Calculate the remainder when k is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 125 = 25. Let d(i) be the first derivative of -i**3\/3 + 7*i**2 + 5*i - 1. Let w be d(q). Is w <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-29))\/(-9 + 11 + -17 + 0).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 67 = 47. Let z be 34\/3 + 8\/12. Suppose -z = -2*c - 2. Solve 4*i - 3*k = 2*k - u, c*i + 5*k + 25 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 + 2*j**3 - 5*j**3)*(56*j**2 + 205*j**2 - 79*j**2) + 0*j**5 - 3*j**5 + 4*j**5.\nAnswer: 365*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8922.5385 + -37.2.\nAnswer: -8959.7385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*a = -129*a - 20. Let w(d) = -d**3 + 7*d**2 - 6*d + 10. Let h be w(6). Solve -h = 4*m + o - 4*o, a*m + 16 = 2*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*r + 2*r. What is r rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 + 3*h + 27. Calculate g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let d(a) = 4*a + 4*a - 4*a - 2*a**2 + 2*a**i - 3*a**3. Calculate d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50125561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 74228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 3. Let a(h) = 4*h**2 - 18*h - 93. Let i be a(-10). Let c = i + -490. Let w(n) = 2*n - 2. What is c*f(m) + 4*w(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160.247548 + -0.180548. Let s = p + -160. What is s rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -3. Calculate the highest common factor of 24 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h)**(-2)*(h**(-6)*h)\/(h**1\/h))\/((h\/(h*h\/(h*h*h*h**(-1\/3)\/h*h)))**(-18))**(4\/3) assuming h is positive.\nAnswer: h**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*-5)\/(sqrt(320) - (sqrt(320) - sqrt(320)*4 - sqrt(320))).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 19 - 3*j + 0.\nAnswer: -3*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (((-4)\/6)\/2)\/(26\/(-1404)) and 62.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/60 - z**4\/6 + 21*z**3\/2 - 6*z**2 - 4. Let l be b(-10). Solve 1 = -l*s - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 70 = -6*y + 128, n = -3*y + 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*r = 31, 3*k - 76 = -k - 4*r. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/3 + 2*m**3\/3 - 33*m**2. Let h = 20 - 10. Let t be u(h). Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - 3*d**2)*((-d**2 - d**2 + 4*d**2)*(0 + 2*d + 0) - 4*d**3 + 2*d**3 + d**3 - 3 - 2*d**3 + 3) + 3*d**3 - 3*d**3 + d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13474*j = -13789*j - 7875 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(192) + -2 + sqrt(192))**2 - ((sqrt(192) + 1)*6*-1)**2.\nAnswer: -6175 - 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1122*b - 73210. Give q(65).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Suppose 2*j = -j + 4*o + 87, -3*j - 4*o + 63 = 0. Suppose -v + 6*v = j. Solve -5*u + 5 = -4*a + 1, 4*u + z = -v*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/6)\/(((-6)\/128)\/(15\/(1380\/(-23)))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Let m = y + -7. Let l = 53\/180 + -2\/45. Which is the nearest to m? (a) l (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15894 - -15891. Which is the nearest to 1\/4? (a) i (b) 5 (c) -37 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 902.244585 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10192 and 34186?\nAnswer: 174211856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/9)*v*v*v*v**(1\/3)*(v\/v**(-2\/3))**(4\/5))\/(((v\/v**(-4\/7))\/v**(-5\/2))\/(v*((v\/(v\/(v\/v**(1\/4))))\/v)\/v*v)**(-48)) assuming v is positive.\nAnswer: v**(-4307\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 16700*s + 16700*s + 2*s**3.\nAnswer: 2*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.52 + -1.48. Is h greater than -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x + 2*x)*(129*x + 344*x**2 - 344*x**2 - x**3).\nAnswer: -x**4 + 129*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/36 + (-2)\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p - 68. Let h be u(-4). Put -1, -3, h in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-886246.\nAnswer: 9748706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - -4) + -2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 - 24*m**3 - 80*m**2 + 600*m - 500 = 0.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -10*a - i, -3780*a + 5*i + 235 = -3775*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 12, -3*c - 849 = -4*a - 0*c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l - 3. Let c be r(-4). Let d = -0.04 - 1.96. What is the second smallest value in d, c, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 - 21*k + 54. Suppose -3*q = -12, 10*q - 16 = -4*i + 9*q. Calculate z(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30*t + 202. Determine j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(9\/5)*b*b**(-1\/11))**(13\/6) assuming b is positive.\nAnswer: b**(1937\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 705.313\nAnswer: -705.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 - 8*n - 6. Let o be q(-6). Let h be 1049999 - (3 - (o - 2)). Round h to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35798 is divided by 5088?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259994 and 59124.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 2*a**2 + 2. Let f(x) be the first derivative of -4 - 6*x + 5\/2*x**4 + 0*x**2 - 7\/3*x**3. Determine -2*f(q) - 7*n(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 266725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-151)\/(-5) + 2\/(-10). Suppose -c - 23 + 28 = 0. Calculate the highest common divisor of c and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*((sqrt(1008)*2*-5 - (3 + (sqrt(1008) - (sqrt(1008) + 2)))) + sqrt(1008) + -2 + 5 + 4))**2.\nAnswer: -4320*sqrt(7) + 326692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**5\/60 + c**4\/8 + 2*c**3\/3 + 3*c**2. Let g be o(3). Let p = g - -6. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkllxyxa. What is prob of sequence ak?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.064 + 582.936. Let f = h + -581. Which is the nearest to 0.7? (a) f (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3786732 and -0.05.\nAnswer: -3786732.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from yypyppcc?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14.1 (b) 2\/17 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = 3*c. Is 14 a factor of (-35)\/c - 75\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 983 + 1555*b**5 - 517*b**5 - 1004*b**3 + b + 4*b - 525*b**5 - 517*b**5 wrt b?\nAnswer: -80*b**3 - 6024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from coccccccccccccccccc?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 951000 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 + 132 + 7*f + 11*f**2 + (-f**2 - f + f)*(4 + 0 - 3) in the form s + w*f**2 + v*f and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/70)\/(-4)*(-10)\/4.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -19, -15, 1, 35, 93?\n\"Answer: d**3 - 3*d**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3 - -4) - -5. What is the greatest common factor of a and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let k be (-80)\/198 - 14\/(-77). Is y at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424896010 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0)*(0 - 2*b**2 + 0) + 4*b**3 - 6*b**3 + 0*b**3 + 0*b**3 - 5*b**3 + 4*b**3 + (4 - 4 + 1)*(2*b**3 + 2*b**3 - 5*b**3) + 3*b**2 - 3*b**2 - 2*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -99*g - 9. Let f be d(3). Let t = f - -301. What is the second biggest value in 1\/4, -0.04, t?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 347 = 708. Suppose 64*h = 69*h + 615. Let n = h + i. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656 and 39096?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3\/8 (c) -1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 23. Let j = -10 - t. Factor -15*k**2 - 2*k**2 - j*k**2 - 7*k**2 + 15*k - 2.\nAnswer: -(4*k - 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -10 (b) -0.4 (c) -2\/17 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 3*n**5\/5 - n**4\/6 + 4*n**3\/3 - 4*n**2. Let h(v) = 53*v + 109. Let p be h(-2). Is z(p) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8230 divide 165513530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 5 - 4 + 0. Let p be 3\/12 + 1\/(-4). What is the units digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341895362 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-54) + (-7334123)\/(-1161) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299967 divided by 3\nAnswer: 99989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25755406 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30054894.051 + -30068802. Let r = -13916 - v. Let h = -7.9 - r. What is h rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 3 + 27. Let n be 9\/6*2 + h + 8. Suppose 0 = n*w - 16*w + 63. Calculate the smallest common multiple of 33 and w.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 56453*f + 1975848. Give u(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 14 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:03 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -193*n**3 + 7*n**2 - 17. Let g(j) = 194*j**3 - 6*j**2 + 15. Determine 7*g(b) + 6*w(b).\nAnswer: 200*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-10)*50\/(-20). Let c = -5 + 9. Let f = z - c. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-32)\/(-14) - (-13)\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 179*m - 5510. What is u(35)?\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*g - 4 = 0, -32*d - 2 = -37*d + 3*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 25*l - 130. Let v be o(8). Solve -v*n - 35 = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/54 + (-29)\/(-87). Which is the closest to -0.06? (a) 0.5 (b) -3 (c) j (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 35*f**2 - 8*f + 4. Is z(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11580253 and 15846662?\nAnswer: 301086578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/45358143 or 2?\nAnswer: -5\/45358143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4124604 or -4124603?\nAnswer: -4124604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 21\/2, -2\/5 in decreasing order.\nAnswer: 21\/2, -2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000362903 to seven dps.\nAnswer: -0.0003629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*((-24)\/(-9))\/4. Let a = 9 - l. Suppose a*u - 14 = -2. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 42, 18, -100, -360, -810, -1498, -2472?\n\"Answer: -8*i**3 + 25*i**2 + 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 143119849 + -2930\nAnswer: 143116919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11031 - -15272. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 352 = -442 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -7\/4*f**4 + f**5 - f**3 - 5 - 2*f + 7\/2*f**2. Find v, given that q(v) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5 - 7. Let u(r) = -r**3 - 5*r**2 - 4*r + 1. Let c be u(w). Let s = 60 + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttktttgts. Give prob of picking 1 s and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1338 + 0.0657. Let i = p - 0.2129. Round i to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.5 + -1.5. Let h = f + 32. Which is the closest to h? (a) 0.3 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 12) to base 10.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 14) in base 3?\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/21 + a**6\/40 - 11*a**4\/12 + a**3\/3 - 83*a**2. Find the second derivative of i(d) wrt d.\nAnswer: 320*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + 7ba136?\nAnswer: 7ba123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.26 + 0.14. Let n = s + -1. Let u be 3\/(-9)*6\/(-4). Which is the second biggest value? (a) n (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*b - 13. Let w(p) = 2*p**2 - 9*p - 10. Let y be w(b). Let j = 3 - 3. Solve j = -4*k - k + y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h. Let n(m) = 3872112*m**2. Calculate u(n(z)).\nAnswer: 15488448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-270)\/(-14) + 18\/(-63). Does 19 divide 2*(x\/2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2013\/4697*(39\/9 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 8*i - 48. Suppose -2*s = -5*m - i*s + 39, 0 = -5*m + 4*s + 71. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/9 and -2\/1983861?\nAnswer: 1983861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -515 - 2509. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.347 - 22.547. Which is the nearest to -1\/4? (a) z (b) -4 (c) 18.2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/2)\/(3\/(-57)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -108a + 786?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6.53*-0.7\nAnswer: 4.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -272. Let x = -78 - d. Suppose 2*f + 4*l = -f + 27, -f = -5*l - 28. Calculate the greatest common factor of f and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*t + 1 - 1 - 147*t + 98*t.\nAnswer: -178*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2. Let f(w) be the second derivative of -5*w**4\/6 - w. Calculate f(z(b)).\nAnswer: -160*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110306002.\nAnswer: 2, 13, 19, 23, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 12834185604.\nAnswer: -12834185604.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let g = 2 + -3. Let j = g - -5\/4. Which is the nearest to j? (a) 2\/13 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/120 - n**5\/60 - n**4\/12 - n**3\/3 - 17*n**2. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -2*v - 3*v. Calculate the highest common divisor of v and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 - 2*p**3 - 2*p + p - 6*p**2 - 48*p**2 to the form a*p**2 + m*p + c + g*p**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, -1324, -2\/7 in decreasing order.\nAnswer: 30, -2\/7, -4, -1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320 a factor of 85730400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*l = 5, 0 = -r - 2*r + 5*l - 5. Let v = -2.6 - 1.4. Put -1\/2, v, r in decreasing order.\nAnswer: r, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76801977 and 8334?\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 184 = 145 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 41 = -4*k + f, 0 = 3*k - 4*f - 36. Let s = -5 + k. Suppose -s*h + 60 = h. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o - 14*o + 5 + o**2 - 5*o + 5*o + 0*o**2.\nAnswer: o**2 - 25*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + b + 4*b + 17 = 0, 4*b - 15 = m. Solve 12*z + m*z = 125 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -1 (c) -2 (d) -8 (e) -1\/62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 37, 98, 211, 394?\n\"Answer: 3*p**3 - p**2 + 9*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {k: 1, r: 1, l: 7}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*o + 16, -q + 1 = 3*o + 10. Let z(p) = -2*p - 1. Determine z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2\/5, 23.71, 1, -0.6, -4.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**3 - 20*c**3 - 21*c**3 + 61*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -637420 less than -637406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 85103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 544485827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -5*l + 12*c + 10*c, -3*l + 20 = -c for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*m*p**3*y**2 - 3*a*m - a*y**2 + 25*m*y**2 + 46*p**3*y**2 with respect to m.\nAnswer: -a*p**3*y**2 - 3*a + 25*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14841180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.85 - 36. Let q = 53.43143 + -50.5802. Let z = q - k. What is z rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 39 + -32 + ((-639)\/6 - 2\/4). Suppose -u - 5*o = 130, -u - 4*o - 180 = -55. Let d = m - u. Which is the third biggest value? (a) -0.4 (b) d (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 23 - 1320*d**2 - 11.\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5923, 5157, 3885, 2107?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 3, -2*x = -3*s - 5. Let b be -7*x*-64 - -2. Let z = -9003\/20 + b. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*1\/30*(-15)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-30)*t\/((t\/(t\/(t**(-10)*t)))\/t*t)*t assuming t is positive.\nAnswer: t**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -4\/7, -3032, -3 in decreasing order.\nAnswer: 2, 0.1, -4\/7, -3, -3032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 2*v - 0*v + 6, 5*o - 5*v - 35 = 0. Put -3, 0, -1, o in ascending order.\nAnswer: -3, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1891, -1039, -5923, -12761, -21553, -32299, -44999?\n\"Answer: -977*o**2 + o + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35115 to 3 decimal places.\nAnswer: 0.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -332 - 10. Let l = 324.1 + s. Let d = 18 + l. What is the closest to d in -5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, n: 3, h: 3, l: 2, x: 2, s: 1}. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6794 != -6233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12) + (-10)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-36) - 1796\/(-18). Let t = -775 - -815. What is the highest common factor of g and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*s + 32*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 23*m - 76. Let g be t(-19). Let q = 6 - 4. Solve 3*s - q*s - 3 = g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.06 - 1.94. Sort 0.3, -3, m in descending order.\nAnswer: 0.3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1586367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21981, 21981, 21983, 21987, 21993, 22001, 22011?\nAnswer: 22023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2050499, 2050497, 2050495, 2050493?\nAnswer: 2050491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81092.655 rounded to the nearest one hundred?\nAnswer: 81100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:16 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -174*y + 1397. Let f be r(8). Put -8, f, -5 in descending order.\nAnswer: f, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/4, -0.1, -1\/36, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/10, -2, -0.066?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894772894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.206805\nAnswer: 0.1034025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.8225?\nAnswer: -4.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/5 - 104*d**3\/5 + 108*d**2\/5 + 104*d\/5 - 106\/5 = 0. What is d?\nAnswer: -53, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 - 21*g - 16. Let u be n(11). Let o(d) = -149*d + 6. Is o(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/35 + (-19182)\/30. Let g = 639 + j. Which is greater: g or -46?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.138 - -86.862. Let r = -81.6 + f. Let j = -5.4049 + r. What is j rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 98a - 7?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbbhmbmmbpbbscbb. What is prob of sequence pm?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/60)\/(8\/(-12))*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 84.68493 centimeters?\nAnswer: 846.8493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 2*d**2 + 30*d + 8. What is k(5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -59.26744?\nAnswer: 59.26744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 290.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63598 and 230.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1315 + -12329\/9. Let f = p - -166\/3. Factor f + 2\/9*k - 2\/3*k**2.\nAnswer: -2*(k - 1)*(3*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/(-160) + 2\/(-5) - (-484)\/330. Which is the closest to v? (a) -6\/5 (b) -0.4 (c) 0.3 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f**4 - 1)*(-2 + 4 - 4) - 24*f**4 + 1 - 2 + 5.\nAnswer: -22*f**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 - 8007003*q**2 + 21370699014003*q = 0. What is q?\nAnswer: 0, 5338002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(176)) + (sqrt(176) + sqrt(176) + 4)*-4 + -3*(sqrt(176) + (3 + sqrt(176))*-6) + 1)**2.\nAnswer: 4056*sqrt(11) + 31265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkxwkwkwkkwk. What is prob of picking 1 x, 1 w, and 2 k?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3256, -4, 4, 7 in ascending order.\nAnswer: -3256, -4, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + (-9)\/(-4). Suppose v - a*v = -6. Suppose -d - v = -40. What is the greatest common divisor of d and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 25*z - 6*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 37*p + 15. Let f be a(8). Let l be (7 - f) + 2 + -4. Solve -5*o - 5 = -2*k, 6*o + 3*k = o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 170\/35 - 1\/(-7). Suppose 5*v - 3 - 2 = 0, 7 = n*r - 3*v. What is o in 0*o**2 + o + o - 2*o**2 + 4 + 0*o**r = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 135592.1913?\nAnswer: 135591.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 158 and 87\/58*-2*8\/(-3).\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 1\/3 (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/4 + -6)\/(21 + 196\/(-8) + 3)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-49) + (-1 - 47\/(-21))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 2\/3, 1\/26, 0.5, 2\/5?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -61. Is a less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 + 6587*m + 90490. Give x(1331).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 6:43 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15d27a (base 16) to base 11.\nAnswer: 897536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-60)*3 + 1014\/(-15). Let g = s + -318. Let i be 4\/(-26)*-1 + g\/(-26). Which is smaller: 12 or i?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -211, -221, -233, -247, -263?\n\"Answer: -s**2 - 7*s - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 15*q**2 - 45*q - 64. Let g(i) = -2*i**2 - i. Let x be g(-1). Let n(y) = -y**2 + y. Let k(p) = x*d(p) + 3*n(p). Factor k(h).\nAnswer: (h + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 313451 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/6 - (-64)\/24. Let o(s) = s**2 - 5*s + 5. Give o(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 2. Let x(a) = -a**2 - 7*a - 9. Let n be x(-3). Let h be n + (-11)\/(44\/40). What is m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 2*y**2 + 2*y**4 + (3*y**3 - 5*y**3 + 3*y**3)*(y - y + 2*y) - 3*y**3 + 3*y**3 - y**4 - 1340*y**4 - 814*y**4 - 75*y**4.\nAnswer: -2226*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-39 - 45\/(-15)). What is the greatest common factor of w and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9054 + 28064 = -4295*o + 293890 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 3*f + 26 - 45 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -23*v**2 + 23*v - 6. Let y be (-18 - -26) + -1*2. Let t(g) be the second derivative of 2*g**4\/3 - 4*g**3\/3 + g**2 + 15*g. What is y*b(k) + 17*t(k)?\nAnswer: -2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 1 = 3*j + 5*f, 3*j - 13 = -2*f. Let t(d) = -d**2 + 18*d + 12. Let p be t(15). Let k = j + p. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 448 + -448.07. Let n = -1 - 0. Which is the nearest to -1? (a) 0 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssvjjeccjj. What is prob of picking 1 e and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 - 2*c**2 - 20*c - 87. What is the tens digit of r(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 423 and 1889400.\nAnswer: 5668200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let h be s(-4). Sort 3, -4, -5, h.\nAnswer: -5, -4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39450042 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*x = -2*x + 204, x = -5*c + 353. Suppose -4*g + 3*t = 74, 0*g - t + c = -4*g. List the prime factors of g\/(-3)*(10 - 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2, 2, 0.4, 0.5, 84203, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 74*s**2 + 749*s + 88. Give o(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 236*g**2 - 1184*g + 14. Calculate l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2, -0.4, 2.9, 3\/7 in decreasing order.\nAnswer: 2.9, 2, 3\/7, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-774)\/(-22) + 6\/(-33). Suppose g = 5*x - 25. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 15*d + 35. What is j(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o - o - 133524 + 133534.\nAnswer: -12*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 9*u - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.094*-109034.\nAnswer: -337351.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 95*p**2 - 320*p - 420.\nAnswer: -5*(p - 14)*(p - 6)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 5:06 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*v - 36*v - 50. Solve 5*q - 3*q - 3*c = -14, 5*c - 15 = -v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*((((o*o**3*o)\/o)\/o)\/o)\/o)\/(o\/o**6))\/(o**(-2\/13)\/(o\/(o**11*o)*o)) assuming o is positive.\nAnswer: o**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1015139 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273324?\nAnswer: 2, 3, 22777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-8)\/(-2 - 2)). Suppose -4*b + 3*o + 21 = 0, -2*b + 6*b + 5*o - 29 = j. Suppose -b*x + 480 = 2*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4\/7, -0.2, -3\/8, 4.109, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55875899926 + -0.2\nAnswer: 55875899925.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 + 6*h. Let c be x(6). Suppose 4*t = 2*t + 4. Let f be t - (2 + c + -2). Solve 0 = f*o - 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 733 - 1193. Calculate the remainder when 224 is divided by (-24)\/16*b\/15.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 20*n**2. Let k(w) be the third derivative of -w**4\/12 + 49*w**2. Determine a(k(u)).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 44*f + 3. Let o be m(-21). Solve 2*p + 4*u = 6, -3*p - o = 2*p - 5*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31242319811 - -67.33.\nAnswer: -31242319743.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y + 7 + 761. Suppose -30 = 62*w - y*w - l, 4*w - l - 66 = 0. Solve -13*t - 3 = -w*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -142, -105, -54?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 9*m**2 + 78*m + 350. Let w be x(-13). Solve -5*y + 10 = -2*d + w, 2*y = 2*d - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1024433991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:20 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1729 and 6175?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 41. Solve 2*n - j = 2*z, 5*n = 6*z - 2*z + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19278 greater than or equal to -19323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 840 - 280. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + (-3 + 4)*-2. Suppose -3*y = -4*b + 11, -y - 3*b + a = b. Let i = -4 - -3.6. What is the smallest value in -5, i, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 60*b - 10*b.\nAnswer: 50*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661145.8 minutes to microseconds.\nAnswer: 39668748000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-156)\/12*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -241?\nAnswer: -3\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -2877 in descending order.\nAnswer: 4, -8, -2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8482 and 65\/269922686?\nAnswer: 269922686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 2, d: 3, p: 5, u: 3}. Give prob of sequence up.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 h when three letters picked without replacement from hbbbbbbbbhbhhbbbbh.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let k(v) = -39*v + 1. Let t(m) = -40*m + 1. Let f(p) = o*k(p) - 4*t(p). Calculate the remainder when f(1) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-779)\/(-164))\/(-19)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048814 is divided by 4145?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 6*q + 2. Let y be s(6). Solve y*p - 2 = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1778401*a**2 + 1778401*a**2 - 6*a**3 + 0*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*114698\nAnswer: 344094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-217)\/(-70))\/31)\/(-2*(-3)\/36)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/13844210 and 21\/1136465.\nAnswer: 152286310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6))\/(1\/3). Let s = 1 + h. Let v(q) = 3*q**2 + 218*q - 292. Let u be v(-74). Calculate the highest common divisor of s and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632547 divided by 210849?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 + 38*f**2 + 1. Is s(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*a**3 - 50*a**3 - 64*a**3 - 50*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8273, -10815, -13357, -15899, -18441, -20983?\n\"Answer: -2542*j - 5731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + g**2. What is the remainder when 23 is divided by o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*o + 34 = 0, 5*d + 172*o = 177*o - 40 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*p - 30 - 35, -5*r - p + 97 = 0. Suppose 5*c = 6*c + r. Which is bigger: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -33. What is the greatest common factor of 44 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1014*y + 18 = 1011*y - 2, -197*h + 418 = -4*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j + 147. Let l = j + 27. Let u(s) = s**2 - 2*s + 18. Is 11 a factor of u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -168, -170, -172, -174, -176, -178?\n\"Answer: -2*g - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150384704 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(8)*3))\/(sqrt(192) + sqrt(192) + sqrt(192)*1 - sqrt(3)))**2 + (-4*sqrt(10)*-4)\/sqrt(5)*-2.\nAnswer: -32*sqrt(2) + 2\/4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13449, 4, -53, 3 in decreasing order.\nAnswer: 13449, 4, 3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16826447 is divided by 1388.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 48*y**4 - 70684*y**3 - 100240*y**2 + 11764*y + 41272 = 0.\nAnswer: -1, 7\/12, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 4 + 6 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*k - 5*i, 3*k + 3*i - 7 - 17 = 0. Let u = -6 + k. Suppose z - 9 = -1. Solve z*q + 16 = 3*q - 3*n, 4 = -u*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3378\/43 (c) -31\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 2*c**2 - 2489*c**3 - 152*c + 152*c.\nAnswer: -2489*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 192747666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3398*a + 1618*a - 284*a**2 + 1779*a.\nAnswer: -284*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 43*n - 18. Let j be c(21). Suppose -2*r - s - 2*s - 8 = 0, 0 = j*r + 2*s + 2. Solve -17*b + 16*b = -r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (15\/60)\/((-2)\/(-1784))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7752 + 7688 - (-5224)\/82\nAnswer: -12\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2. Let l(p) be the first derivative of -p**3\/3 - 21. Determine v(l(n)).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 30.3. Let h = -8 + 10. Let l = h - -3. Which is the smallest value? (a) 1 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -5 (c) 3 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2074, -2060, -2046?\n\"Answer: 14*o - 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8043 - -8109. Which is the second biggest value? (a) -0.5 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + (sqrt(80) - (sqrt(80) + 2)))*-1 + sqrt(80) + 0 + 4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.372431m in nanometers?\nAnswer: 9372431000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5618 + 112319\/20. Let o = -9\/5 - p. Let i = -1 - -1. Which is the closest to o? (a) 0.3 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189096.1 to the nearest one thousand.\nAnswer: 189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -76*-0.16506\nAnswer: 12.54456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*-5*(sqrt(112) + 2*(sqrt(112) + 0) + sqrt(112)) + 3)**2.\nAnswer: -537627 + 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 - 1\/4*v**3 + 4*v**2 + 1\/24*v**4 - 1\/360*v**5 + 0*v. Factor p(i).\nAnswer: -(i - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15309*m**3 + 3*m**2 + 14*m + 6 wrt m?\nAnswer: 91854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 12*r + 2664. Let h = 216 + r. Is -6 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(19) - (1 + sqrt(19))) + 0 - (-3 + sqrt(76))) + -1).\nAnswer: -6*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 1 + 0*p + 4*p.\nAnswer: 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) -54 (c) 2 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 13*s**2 - 17*s + 17. Let p be u(12). Suppose 3*j - 4168 = p. Suppose j = 13*r - 5824. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-4)*219\/73.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -10366.\nAnswer: 518.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001367148 rounded to seven dps?\nAnswer: 0.0001367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -110100?\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o**4 - 5*o**3 + 5*o + 13. Let m = 4 - 3. Let i(y) = y**4 - y**3 + y + 1. Let d(j) = m*k(j) - 5*i(j). Differentiate d(s) with respect to s.\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1465*f**3 + 1414*f**3 - 4348*f**3 + 1464*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/27 + (-548138)\/(-315). Let i = r + -13378\/7. Let k = 170 + i. What is the third smallest value in k, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2957*u**3 + 469*u**2 + 1.\nAnswer: -17742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -105, -261, -547, -1005, -1677?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9566 + 9987. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 8103?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 430.\nAnswer: 1\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1036, -4188, -9454, -16834, -26328, -37936, -51658?\n\"Answer: -1057*y**2 + 19*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 36, -2, 0.3, -8, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from nnnnnnenenfnfnnlfnn.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -135833885 >= -135833886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13567, -0.6, -4 in descending order.\nAnswer: 13567, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-297)\/(-72)*-3*(-4)\/(-18)*-2*-12?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16418 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - o - 1. Suppose -85*y = -76*y - 252. Let h be -6 - (-35)\/y*4. Determine l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 185275077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 3. Suppose 2*j + 3*a - 2 = 0, 4*a = 5*j + 7*a - 14. Give q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.567 + 79.433. Which is greater: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/12 + k**3\/2 - 27*k**2. Let w(v) = 0 - 3*v**2 + 2*v**2 - 1. Let y be 4\/(-12) + (-4)\/(-3). Calculate y*d(q) + w(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/38, -18, -1, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 227\/(-5) + 2\/5. Is (-11395)\/x + 2\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625846 less than 6625844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*y = 14, 7 = -5*m - 2*y - 2. Let o = -395 - -8291\/21. Let x = -37\/84 - o. Is x at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -75231*i - 8. Let y(s) = -71*s**2. What is j(y(b))?\nAnswer: 5341401*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.922 + 0.078. Let p = -51.3 + z. What is p rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12026 + 0*l**2 - 9584*l - 3*l**2 + 9584*l.\nAnswer: -3*l**2 - 12026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 62 divided by -147353\nAnswer: -62\/147353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 1298*z\/9 + 31960\/3.\nAnswer: 2*(z + 85)*(z + 564)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -442 - -5744\/13. Which is the nearest to -1? (a) -4\/19 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + 1 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 8*a**2 - a - 3. Let g be z(-8). Suppose -4*w - 24 = 5*d - 69, 3*d = 3*w. Solve -n = -3, w*m - 2*m - 27 = -g*n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 2*l)*(-3 + 1 + 5).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -892 + 1989. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 - 15b5?\nAnswer: -154a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -119*r + 3422. Calculate the remainder when 101 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71205 and 1987074.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*j + 3*r - 4, -j = 2*r + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1875)\/450)\/((-5)\/3) + 18\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 4) to base 6\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0.056, 4, 0.4 in increasing order.\nAnswer: -4, 0.056, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -560 - -91. Suppose 0 = 19*q + 7*q + 7904. Let g = q - c. List the prime factors of g.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-38)*((-64)\/16)\/4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 + 266*y + 1950. What is k(140)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46267.\nAnswer: 13, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3*s - 4*j**2*m**2*s + 39*j**2*s**2 - j*m*s**2 - 26*m**2*s**2 - 6*m**2*s - 10*m*s wrt j.\nAnswer: 18*j*s - 8*m**2*s + 78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 398, 588, 778?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 + 3*g**2\/2 - 285*g + 1200.\nAnswer: 3*(g - 10)*(g - 5)*(g + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s. Let k(a) = -3053*a. Let u(p) = -172*d(p) + k(p). Let b(w) = -5*w - 3. Let z(h) = h + 1. Let l(v) = b(v) + 3*z(v). Give l(u(g)).\nAnswer: -86*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3519*g**4 + 3*g - 3680*g**4 - 3*g**2 + 1 - 4*g in the form f*g**4 + o*g**2 + c*g + v*g**3 + w and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + 3 - (25 + -17))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 48569.\nAnswer: 777104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878568.66 nanoseconds to hours.\nAnswer: 0.00000024404685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8778688143 and -5.\nAnswer: 8778688138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Suppose -2*o = 0, -r + 2*o - 5*o + 22 = i. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/24)\/(-44 + 3534\/76)*2\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62439272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20697\/28 - -2931\/4. Let v = -48\/7 - d. Suppose -5*g = p, -3*p = -4*g + p. Which is bigger: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2618060 divided by -1580\nAnswer: -1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10337890151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -488780.\nAnswer: -1\/48878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100100010 + -10?\nAnswer: 110100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*v + 39 - 94 = 0, -3*z - v = -89. Calculate the highest common divisor of z and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6672380*y**2 - 53912964 with respect to y.\nAnswer: -13344760*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -304534 - -4?\nAnswer: -304530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011414197 rounded to six decimal places?\nAnswer: -0.001141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-11158.5\nAnswer: -34591.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, 6 in decreasing order.\nAnswer: 6, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 15048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 - -5) + -2 - 1)\/2. Let a be (-4)\/h - -5 - 3*-1. Suppose 3*m - a*m = -251. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 + 13*d - 19. Let n be l(-8). Suppose n*a - 661 = 539. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/1 - -1) + 741\/(-143). What is the nearest to 8 in z, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 111100001?\nAnswer: 111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41708 and -526?\nAnswer: -21938408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q + 6. Let h be y(-2). Let j be ((-4)\/h*6)\/5. Which is the fourth smallest value? (a) -0.5 (b) 3\/4 (c) 0 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 877?\nAnswer: -881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7960 and 136558576.\nAnswer: 682792880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u. Let f = -188 - -188. Let p(i) be the second derivative of f*i**2 - i + 0 + 1\/12*i**4 + 0*i**3. Give a(p(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1\/(-280766))*153\/(-306) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5)*t*t)\/t*t)**(-10\/7)*((t\/(((t\/t**(4\/5))\/t)\/t))\/t)\/t**(3\/7) assuming t is positive.\nAnswer: t**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + h + 3)*(113 - 51 - 91)*(233 - 58 + 31).\nAnswer: -5974*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-119)*8\/(32\/(-28))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 19. Let p = 5153.3 + -5153. Sort b, -1, 0, p in decreasing order.\nAnswer: b, p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 50*p**2 - 167*p + 13. What is a(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61205 or -183619\/3?\nAnswer: -61205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*g*r**3 - g*r**2 + 2*g - 14*r**2 wrt r.\nAnswer: -852*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000129095889 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44173.02 weeks?\nAnswer: 445264041.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -234 (base 5) to base 12\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -195ef4 (base 16) in base 10?\nAnswer: -1662708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 385301025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 114201550 (base 7) in base 11?\nAnswer: 4005233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24237312917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m + 51900 = 0. What is m rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347091 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + (((sqrt(1100) + 2 + sqrt(1100))*4)**2 - sqrt(1100)) - -5*3*sqrt(1100)) + 1 + sqrt(1331)*1 + 1 + 4.\nAnswer: 1441*sqrt(11) + 70470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 81610922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7108513, -14217026, -21325539, -28434052, -35542565, -42651078?\nAnswer: -49759591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 2*a. Let c(y) = y**2 + y - 2. Determine c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286667 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309131 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 the ten thousands digit of 592534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**5\/4 + 8819*r**4\/2 + 3703140*r**3 + 1036173600*r**2 - 296352000*r.\nAnswer: r*(r + 840)**3*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 - 76*i + 76*i + (-4*i + 2*i + i)*(i**3 - 2*i**3 - i**3) - i**4 + 4*i**4 - 2*i**4 as f*i**2 + a*i**4 + j*i + l + d*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2057) + 1 + -2)**2.\nAnswer: -22*sqrt(17) + 2054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + b**3 - b**3 + (-5 - 2*b**2 + 5)*(b + 1 - 1) + 5*b**3 + 2*b**3 + 0*b**3 + (2 - 4 + 3)*(-3*b**3 + 3*b**3 + 2*b**3) + 4*b**2 + b**3 - 4*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2382*f**3*w**2 + 2*f**2*w**2 + 4*f**2*w - 23*f - 4*w wrt f?\nAnswer: -14292*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3869 * -915\nAnswer: -3540135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 26*d = 7*d - 42 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15501486 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*b - 1456 - 14905 = 758 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 3, 1.3, -71, 2 in decreasing order.\nAnswer: 3, 2, 1.3, -2\/19, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327091780 to the power of 1\/2, to the nearest integer?\nAnswer: 36429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 171 - 155 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 7*h**2 - 7*h - 2. Let m be 0\/((32\/4)\/(-4)). Suppose -4*x + m + 4 = 0. Let s(c) = 5*c**3 + 3*c - 2. Let t be s(x). Determine k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/13, -123 in increasing order.\nAnswer: -123, -1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*l + 168*l + 574 = 328*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 1\/6*s**3 + s + 0 + 0*s**2 - 1\/12*s**4. Factor j(o).\nAnswer: -o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -230 - 640*w + 472 - 243 in the form q + o*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2. Let h be ((9\/3)\/(-3) - -1)\/1. Suppose -5*k - 9 = 2*g - 31, -4*k - 4*g = -8. Let i(n) = k*n + h*n - 3*n + 6*n. Give c(i(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-15)*3\/1. Let p = 4042 - 36380\/9. What is the third smallest value in p, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -15*x**2 + 0 - 2*x**2 + 1 + 543*x**3 - 544*x**3. Let y = -52 + 35. Let d be q(y). Calculate the highest common factor of d and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 >= 3105208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 + 342. Sort v, -7, 5, 3.\nAnswer: -7, 3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.27 (b) 2\/31 (c) 61 (d) 3\/8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by ((-68)\/(-3) + -2)\/((-6)\/(-18))?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, -2\/3, -1, -3\/47?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12037228, 12037232, 12037236, 12037240, 12037244?\n\"Answer: 4*t + 12037224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 9*j**2 - j - 7. Let u be c(-6). Let o be 1 + u + 4\/(-4). Suppose o = n - 48. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19213, -38419, -57623, -76825, -96025?\nAnswer: -115223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-22))\/((-10)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3940990062.\nAnswer: 2, 3, 23, 28557899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 20*g**2. Let a = 319 + -316. Let x(h) = -a*h - 5*h - 5*h + 10*h. Determine x(z(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3521508*j**2 + 2312069?\nAnswer: 7043016*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) -9 (c) -7 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l = 81*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5894 is divided by 618.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fifg when four letters picked without replacement from fgfuvufifcvu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*p = 150. Suppose 23 = 4*q + 5*o, 9*o + p = 4*o. Let r be -3 - (-8 + 4\/2). Solve r*s = -s + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxzmbbmym. Give prob of sequence xmz.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (47\/(-9) - (-6)\/27)\/(-1). Suppose 3 = m - k. Let v = -20 + 38. What is the smallest common multiple of v and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 97, 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550390874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 5 (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/(2\/(-2)). Suppose 4*s - k - k = 16, a = -4*s - 4*k - 8. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211 + -161. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/11, 4690\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3 - (-2 - (-4)\/21) and 77\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*-1 - (4 - 4). Suppose 0 = 4*h + 4*z - 24, -5*z = -4*z - o. Solve 14 = 5*s + 2*r, h*s - r - 8 = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2135680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*n, 3*i + n = 2*n. Suppose i = -3*t + 4 + 2. Solve -2*l = t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 15*k - 9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m - 52. What is l(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 807861, 0.2, 5, -2, 0, 21?\nAnswer: 807861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 j, and 1 q when four letters picked without replacement from jqjjqjjzz.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/5 or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 484 = 152*i - 76*i - 74*i, 100 = -5*u + 6*i for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103936 + -31779. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 823508926 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3116598, 3116597, 3116596, 3116595?\n\"Answer: -d + 3116599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -15*(3 - 16\/3). Let r = 40 - v. Let t be 14\/(-21)*-15*r. Calculate the highest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, j: 17}. Give prob of picking 1 h and 1 j.\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7226 and -0.0956?\nAnswer: 690.8056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -8. Let h be -3 + 0\/3 - -309. Suppose 94 + h = 5*y. Calculate the greatest common divisor of y and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k - 2 + k)*(0 + 2*k + 0).\nAnswer: -2*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-231)\/22)\/((-2)\/(-4)). Let z be (-48)\/(-70) + 6\/f. Which is the nearest to 1? (a) 1 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j - 38. Let n be g(-3). What is the least common multiple of -5 - (27\/n - -5)*2 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108562 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = 15*i - 13*i - 228820. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21874?\nAnswer: 2, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 3*c - 23. Let v(f) = -2*f**2 + 5*f + 46. What is 5*d(y) + 3*v(y)?\nAnswer: -y**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 5. What is the smallest value in z, 0.3, -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2286274806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77103531599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (9 + (-13 - (3 - 5)))) + -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 + -41?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278557003*h*r**3 - h*r**2 + h*r + 13886*h - 13*r - 95 wrt r.\nAnswer: -1671342018*h*r - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 982193567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/9)\/((-55809)\/1378).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*12\/(-22))\/((-5450)\/(-29975))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497267273*q**2*v**3 + 395183154*q**2*v**2 + 2*q**2 wrt v?\nAnswer: 2983603638*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -908\/7. Is g equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 237955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 1. Let c(g) = -g - 1. Let n = 14 - 10. Let t(s) = -s**3 + 5*s**2 - 2*s - 3. Let y be t(n). Determine y*c(j) + 6*h(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h + 6245 = -1690 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6989*y + 6989*y + 272*y**2)*(y - y + y) - y**3 - 3*y**3 + 6*y**3.\nAnswer: 274*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9067 and 1.\nAnswer: 9067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6725 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 983415757 divided by 1\nAnswer: 983415757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g + 5. Calculate p(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -9, 154503.6 in ascending order.\nAnswer: -9, -2\/21, 154503.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057))**2 + ((-1 + sqrt(425))**2 - sqrt(425)) + sqrt(17) + -4.\nAnswer: -14*sqrt(17) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4271 = -2*a - 4136, -3*a = -15 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -m - i*g = 3 - 18, -4*g = m - 13. Suppose 503 = 2*s - o, -5*s - o = -m*o - 1259. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + 53\/5. Suppose -10 = -2*x + 2*u, -8*x = -4*x + 5*u - k. Solve 5*d + t = x*t - 8, -3*t + 4 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 9*n - 5. Let z be q(8). Suppose 0 = -6*o + z*o + 54. Let x = 21 - o. Which is the closest to 1\/2? (a) 3\/4 (b) x (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0. Let y be (-15)\/(-4)*(-48)\/(-126). Let k = -137\/91 + y. Is m bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2149 = -3*t, -t + 0*n + 714 = n. Suppose 0 = -3*j - 2*j + t. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28687, 114738, 258121, 458806, 716763, 1031962, 1404373, 1833966?\nAnswer: 2320711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose 2*k + 1 = -3*z, -5*z + 4 = -u*k + 13. Let v be (z + 5)\/(2\/4). Solve 3*j + f - 4 = -v, 5*f = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(24\/144). Suppose 5*j - 7 = z. Solve 4*f + j*b = 18, 2*f - 16 + 4 = -4*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + k - 1)*(2 - 10 - 2) + 0*k + k - 5*k as y + s*k and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8949, 17387, 25847, 34341, 42881, 51479, 60147?\nAnswer: 68897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119379582 and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 888.003761 and 68?\nAnswer: 820.003761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -498869\nAnswer: 2\/498869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 2, -21 in descending order.\nAnswer: 4, 2, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-6 - -5) - 7) + (-78 - -105)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 15354, 20.4?\nAnswer: 15354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**(4\/9)*b*b**(2\/7)*b**2 assuming b is positive.\nAnswer: b**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 168 = -2*d. Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58289596 by -677786.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m**3 - 13*m**3 - 5 + 2 + 448*m + 220*m**2 + 38*m**3 - 221*m**2 to t + l*m + p*m**3 + f*m**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2*w - 1. Let x be f(3). Let z(g) = -3*g - 9 + 3*g + g**x + 6*g. Is z(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tss when three letters picked without replacement from {t: 6, p: 4, s: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 14862*s**3 - 14876*s**3 - s + 2*s + (2*s - 3*s + 3*s)*(3 - 2*s**3 - 3).\nAnswer: -2*s**4 - 14*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.972394 rounded to two dps?\nAnswer: 81.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**3 - w. Let b(x) = -2*x**2. Calculate v(b(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o - 4. Let w(a) = -14*a + 2. Give 3*n(p) + 4*w(p).\nAnswer: -11*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(228)*2)\/((sqrt(300) + sqrt(300) + -1*sqrt(300))*-3).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/3 - (-2 - 2). Suppose 3 = -3*z + k - 2*k, -15 = z + 5*k. Suppose 0 = -z*y + v*y. Put y, -2, -1 in decreasing order.\nAnswer: y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66175 divided by 5\nAnswer: -13235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + a + 0*a)*(3*a + 0*a - a) + (-2*a - 4 + 4)*(0*a - 5*a + 4*a) + 48*a**2 + 20*a - 104*a**2 + 57*a**2 as c*a + f + z*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 8. Let v = b - -2. Calculate the lowest common multiple of 104 and v.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551522433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 4c2?\nAnswer: 4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 165, 346, 579, 858, 1177, 1530?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 - 3*z - 3. Suppose l = -m - 0 - 2, -3*m = 4*l + 5. Let f be h(m). Calculate the least common multiple of 8 and 8\/20 - f\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2874 - -2873. Let y = 1 - 0.8. Let i = -8 - -3. Which is the biggest value? (a) y (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/267262635 and -91\/6056.\nAnswer: 2138101080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2886 and 2262.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-6)*(10 + -426 + 8). Let b = 1799 + y. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1635.65, -26 in ascending order.\nAnswer: -1635.65, -26, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 + (-5)\/2). Let c be m\/(-4) + (-148)\/(-8). Let o = c + -10. Is o > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 h, and 1 i when four letters picked without replacement from {h: 3, w: 6, c: 6, i: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 80.95621 milligrams?\nAnswer: 80956.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 52*r**2. Let s(g) = 80*g. What is s(b(y))?\nAnswer: 4160*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(4 - j - 4) - 104*j + 25075 - 25075 + (-2*j + j + 2*j)*(-2 + 3 - 3).\nAnswer: -104*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/27)\/(1\/(37308\/8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 988621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 9*b**2 + 35*b + 15. Let r be u(12). Factor 53*c**4 - 9*c**2 + 52*c**4 - r*c**3 + 3*c**5 - 96*c**4.\nAnswer: 3*c**2*(c - 1)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052710128?\nAnswer: 2, 13, 17, 863323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 28, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*c + 2*k, 0*k = 5*k - 25. Let p = -3 - c. Let d = -5 + p. Solve 4 = -5*q + 2*g, -d*q + g + 0 = 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7525.728 years to decades.\nAnswer: 752.5728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*i = -19, 3*c + 17*c - 2*c + 15 = -3*i + 2*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1888, -7566, -16994, -30142, -46980, -67478, -91606, -119334?\nAnswer: -150632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/140 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -133606 divided by 1887?\nAnswer: -133606\/1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517434 take away -0.0186?\nAnswer: -2517433.9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 28*s = w - 1, 0 = 3*s - w + 21. Let t be (1 - (-2)\/3) + -2. What is the nearest to 0.3 in -14, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(19\/114*-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 12*r + 7. Let f = -19 - -30. Let p be v(f). What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*g - 9, -5*m = 3*g - 0*m - 8. Suppose -4*z = -g + 5, 51 = 4*v - 3*z. Suppose -4 = 4*x - v. Put 1, -1, x in descending order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -349566, -1, -34, -4 in descending order.\nAnswer: -1, -4, -34, -349566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/27 - 2\/9 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:50 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-18)*(-20)\/(-6). Suppose -1 = 3*o - 19. Solve 2*g + x*l = 14, -5*l - o = -5*g - 3*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 6 + 6. Let p(b) be the third derivative of -1\/8*b**4 + 0*b**3 - 1\/20*b**5 + 2*b**t + 0 + 0*b. What is the second derivative of p(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1)\/(9\/9). Suppose g = -b - 0*b - 2*x - 2, b = 5*x - 23. Let o(s) = -14*s + 11. Is o(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let d = g + 1. Is 3 a factor of (d + 0)\/((-7)\/(-63))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145314?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - j - 15, 0 = -3*n - 3*j + 8*j - 40. Let h = -4.01 + 4. Let f = 2.99 - h. Which is the closest to 1? (a) n (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 516*z + 4483. What is b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100101101111011001100 (base 2) to base 12\nAnswer: 4b7810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36101*w - 43718*w + 44349*w - 39633*w - 46697*w)*(0*w + 2*w + w) to the form l*w**2 + o + k*w and give l.\nAnswer: -365400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -1453, -2398, -3491, -4732, -6121?\nAnswer: -7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c - 120448. Let b(l) = l. Give b(w(r)).\nAnswer: -2*r - 120448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1885049 (base 10) to base 13\nAnswer: 51001a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2267241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjjhbjjhjhjjjjhjjjh. Give prob of picking 1 j, 1 h, and 2 b.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687 + 686. Put t, -0.11, -2\/3 in decreasing order.\nAnswer: -0.11, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20925187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, u: 1, z: 3, k: 3, o: 1}. What is prob of sequence zd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + (5 - -5) - -38) + -21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-603)\/(-90) + -7)*-2. Solve l = 5*r + 8, j*r + 3*l = 8*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6758 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**2\/9 - 227432*i\/3 - 2047212 = 0.\nAnswer: -27, 170601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (2 - (-4 + -2 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3381*l**3 - 1425*l**3 - 1961*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 34, -25, -160, -395?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u + 1. Let l(x) = 3*x**2 - 4*x + 4. Determine -l(i) + 2*q(i).\nAnswer: -i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*a = -0*n + 9, -21 = -4*n + a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57515 and 11?\nAnswer: 632665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 2*f**2 - 3*f + 6. Let w be m(2). Suppose -43 = -4*p + w*r + 18, -5 = 5*r. Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**25*y)\/((y*y**(-28))\/y))\/((y**(-22)*y*y)\/(y*y**(1\/2))))**(7\/3) assuming y is positive.\nAnswer: y**(357\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0 + 0)*(0 - 1 - 1)*(-4*l**2 + 2*l**2 + 3*l**2)*(2 - 15 - 6) in the form v*l**3 + u*l**2 + o + z*l and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*0\/(-330)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 43972*s + 87960 = 0. Calculate s.\nAnswer: -10995, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 43 (b) 4 (c) -0.2 (d) 10 (e) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1019.4 + -3204.6. Let a = -4223.9998227 - p. Round a to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11100 and 900?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.077 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 321 and 4002014.\nAnswer: 12006042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.839 - -2.839. Let r = -1.59 - 0.41. Which is the third biggest value? (a) u (b) r (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5 - 1947360*s**4 + 23368614*s**3 - 89580036*s**2 + 116843685*s - 48684900 = 0.\nAnswer: -649132, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/((-6)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 2565.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/7 + 3068\/70. Let a = 213\/5 - j. Put 3, -0.3, a in decreasing order.\nAnswer: 3, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b - 94. Suppose 8*r - 56 = 35 - 19. Determine c(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -31*w**2. Let d(b) be the first derivative of 13*b**3\/3 - 191. What is d(k(i))?\nAnswer: 12493*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -14 - (1 - 2) - (1 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:53 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b - 24*b - 17*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-243))\/(3\/((-36)\/16))*4.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.67101 or 1314?\nAnswer: 0.67101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 904 = 3*l, -4*l = -5*w - 2*l + 1130. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d**3)*(-2561*d + 1122*d + 2 + 1152*d).\nAnswer: -287*d**4 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15268684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3965)\/366 + 2\/(-12). Let y(w) = -8*w**3 - 23*w**2 + 25*w + 19. Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 2*b - 3*b)*(20*b**3 - 28*b**3 - 44*b**3) + 2*b**4 + 2 - 2 in the form x*b + v*b**4 + s*b**2 + h + p*b**3 and give v.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4867 is divided by 257?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010 (base 4) to base 15.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(64) + 5.\nAnswer: sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/4 + 4*h**3 + 20*h + 16. What are the prime factors of a(-6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - c + 26 = c, -2*s - 31 = 5*c. Let k(d) = -d**2 - 13*d - 9. Calculate the remainder when k(s) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69089d5 - -2?\nAnswer: 69089d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/3*1*(1 + 6). Let p(j) = j**3 + 8*j**2 + 8*j + 9. Let y be p(s). What is the second derivative of 4*f**3 - 22*f**3 - y*f**3 - 21*f**3 - 9*f wrt f?\nAnswer: -246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-6))\/(36\/(-8)). Let p(d) be the second derivative of 163*d**4\/12 - 2*d**3\/3 + d**2\/2 + d. List the prime factors of p(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 + 6 = 0. Let r = 21 - i. Let z = 14 - r. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-105)\/2)*10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142458333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 2 + -4))**2) + (sqrt(1872) - ((-1 + sqrt(1872))*4)**2) + 0).\nAnswer: -59944 + 816*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1120)\/(-48))\/((-2)\/(-36)). Let w be 4 + (-11)\/((-55)\/t). Let q = w - 88. Solve 5*m = u + m + 12, 2*m - 6 = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a factor of 947974474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 182201 - 191?\nAnswer: 182010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16875 and 2157525?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11950.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*q = -7, 2*x + 0*q = -2*q + 10. Let i be -1*2 + 1 + x. Suppose -2*z - 4 - 6 = i. Which is the second smallest value? (a) 4\/7 (b) z (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i**4 + i**3 - i - 6. Let a(k) = k**4 - k**3 + k - 1. Let f(t) = a(t) + s(t). Differentiate f(z) with respect to z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7594 is divided by 93?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3 = 5*y - 14, -1 = y. Let g be 6\/4*(-3 + h)*2. Let u(w) = g + 10 - 13 - 6*w**2. Let l(n) = -3*n. Calculate u(l(r)).\nAnswer: -54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607483621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*34768\/32595?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 1378 - 1559 = 14*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*(700\/(-1890))\/(10\/(-24)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-62)*-13*48\/312?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -4. Let t(s) = -4*s - 33. Let i(v) = -v - 8. Let o(x) = u*t(x) - 9*i(x). Let h be o(7). Solve h = 3*a + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * 428.\nAnswer: 21828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -0.6 (b) 0.4 (c) -3 (d) 72\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnndnndydnndnd. Give prob of picking 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7540587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -23. Suppose 0*n - 4*n = -20. Solve -2*c - 10 = -n*l + 4*l, 0 = m*c + l + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 47. Let q = -34 + t. Suppose 0 = -0*f - 4*f + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 5) + -1)\/(18\/(-2))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/15 in 1\/2, 33, 4, 9\/22?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*g + m, 0 = 25*g - 22*g - m + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-9))\/(1470\/756).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4544051\/635 - 7156. Let n = h - 22126\/6985. Calculate the common denominator of -31\/6 and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -11 - 4)\/((-5)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1650766*y. Let w(f) = -11919*f. Calculate 5*m(u) - 692*w(u).\nAnswer: -5882*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -298 - -1228. Let t be (a\/(-20))\/31 - 106\/(-4). Calculate the greatest common divisor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 + 471. Let i = -149.91 + z. Which is the closest to 0.2? (a) 0.1 (b) -0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2))\/(3\/8). Let m = -2 + r. Factor 0 - x**3 - x**3 + x**3 + 1 + x - x**m.\nAnswer: -(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:59 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203103221122 (base 4) to base 7.\nAnswer: -141446002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(14) - ((1*sqrt(224) + sqrt(224) - sqrt(224)) + sqrt(224))))\/(sqrt(14)\/((sqrt(10)\/sqrt(5) + sqrt(2))*2)).\nAnswer: 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 2*a - 17 + a**4 + 0*a**4 + 2*a**2 - 4*a**2 as q*a**3 + w*a**2 + y + l*a**4 + t*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 739, 4, 39, 465.\nAnswer: 2, 4, 39, 465, 739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 27 = 5*i, -9*i - 3 = -5*i + 5*b. Suppose 2*a - 185 = -i*a. What is the common denominator of a\/18 - (52\/12 - 4) and 73\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -3*d, 0 = -2*d + 3*r - 1. Let z(b) = b + 1. Let v be z(0). What is the closest to v in -3, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4\/q)\/q**(-3)*(q**(-2\/5)*q)**(-44))\/(q\/q**(-2)*q*(q**(-2\/3)\/q)\/q)**(5\/4) assuming q is positive.\nAnswer: q**(-331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*m - 4*q = 1916, -134*q + 26 = 3*m - 132*q for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15297*o**3 - 14872*o**3 + 30202*o**3.\nAnswer: 33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (4 - -29) - (-1 + 7 + -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 2. Let i(f) be the first derivative of -f**3\/3 - 5*f**2\/2 - 12*f + 11. Let l(v) be the first derivative of i(v). Calculate -3*l(r) - 8*y(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007654485 rounded to 5 dps?\nAnswer: -0.00765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-33)*9\/12. Sort -0.5, q, -0.1, 0.3 in ascending order.\nAnswer: -0.5, q, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-2 - 3) + 18 + 25 + -19\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -127, -113, -99?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaii. What is prob of sequence ai?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5860373 less than or equal to 5860373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*l + 73 = l, l = -3*i + 58. Suppose -4*b + v - 6*v = -11, -v - i = -5*b. Find the third derivative of -24*q**b - 3*q**2 + 24*q**4 - q**6 wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124524887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 2, f: 7}. Give prob of picking 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - 35. Let x be 5\/(-40) - r\/168. Let w(b) = -b**2 + 2*b + 24. Let d be w(6). Is d less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(6656\/(-168))*18\/(-27).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 27263.69.\nAnswer: -81791.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3\/3 - w**2\/2 + 3*w + 74. Let x(u) = 2*u**2 - u + 6. Let a(l) = -13*i(l) + 6*x(l). Give a(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5326*g**3 - 7*g**2 - 14*g - 7. Let a(o) = 3550*o**3 + 5*o**2 + 10*o + 5. What is 7*a(s) + 5*m(s)?\nAnswer: -1780*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 29*o - 4. Let d be y(3). Suppose i - 29 + 79 = 0. Let u = d + i. Solve 2*w + 13 = -h, -4*h - u + 6 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + 5 + (-4 - (-4 + 21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = -3*c. Let m be 0 + 1 + (-3)\/3. Let j = m + c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12246 or -199?\nAnswer: -12246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28534253 is divided by 14618?\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1801*r + 100101 = -190*r - 62610 for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from rbqrbrbbrbrbbrbbbq.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3985 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/10)\/(5\/(-100)). Let z = -26 - f. Solve 0*s - 4*d + 10 = -s, -z*d = -5*s - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -18*d + 5. Give n(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 30 = -2*s, 3*s - 5*s - 9 + 90 = -5*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66\/4*(3 + 7\/(-3)) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (sqrt(126) + 2*sqrt(126)))\/sqrt(7))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 14.2, 1\/7, 0.5, 685, -4, -8\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -47093\/23?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(847) - (2*sqrt(847) + sqrt(847)))**2 - ((sqrt(847) - (sqrt(847) + 0)*-4)**2 - sqrt(847))).\nAnswer: -66*sqrt(7) + 249018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-60))\/((-36)\/180)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/24*3\/61*112\/(-28)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, -2\/5, 1\/4, -4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x**4\/11 + 1028*x**3\/11 + 12146*x**2\/11 - 90564*x\/11 - 354627\/11 = 0. Calculate x.\nAnswer: -39, -433\/17, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i = 225*i + 2, 4*m - 26 = 5*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162 or -137?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -5. Let t = -8.2 + s. Let w = 1785 + -5353\/3. Which is the fourth smallest value? (a) w (b) t (c) 1\/6 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 - b + 253. Suppose 2*m = -4*c + 8*c + 8, -9 = -4*m + c. Let x be 0\/(0 - m)*1. Is h(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*j - 137, 2*o - 11*j = -15*j + 146. Solve o*k + 8 = -348 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 - 2*v**2 + 2*v - 1. Let d be ((-2)\/8)\/(3\/(-12)). Let s be n(d). Suppose 31 = s*z + 1. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-0.0617.\nAnswer: -1.3574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {e: 4, r: 5, l: 1, u: 3}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/(121\/(-11)) + (38 - 1). Let p(r) = -4*r - 1. Let q be p(-4). Let n be (-426)\/(-15) + (-6)\/q. Calculate the highest common factor of o and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*i + 3*l + 27, -10 = -i - 2*l. Which is the fourth biggest value? (a) 1 (b) 1\/5 (c) 4\/7 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63291 - -126532. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3234.289335 - 0.159335. Let p = y + -3217. Let c = -17 + p. What is c rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -26. Solve -i - x*i = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 17. Let w = -8 - -7.5. Suppose 5*x + 5*i + 10 = 0, -x + 14 = -2*i + 7. Put w, x, z in descending order.\nAnswer: x, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(567))*-3)**2.\nAnswer: 2592*sqrt(7) + 81792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4038)\/30330 - 12\/(-90). Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4449379749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*55*-26*(-1)\/130?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + j + 2 + (3*j + 2*j - 3*j)*(3 + 0 - 1) - 2*j + 0*j + 3*j + 8*j - 3*j - 9*j - 2.\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220100 + 0?\nAnswer: 220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/2175 and 47\/46962.\nAnswer: 34047450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*w = -0*w - 13, -4*n + 3*w = -24. Let p(f) = -3 + 0 - 4 + 5 - n*f. Calculate the smallest common multiple of 6 and p(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*3*sqrt(102) + ((-1*sqrt(102) + sqrt(102))*-1 - sqrt(102)))\/(-2*(sqrt(24) + sqrt(6)) - -3*sqrt(54)).\nAnswer: -7*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 26*s**3 + 10*s**2 - 4*s + 2. What are the prime factors of j(5)?\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*2*-5. Let z be 17\/5 - 6\/15. Let y(q) = 24*q**3 - q. Let h be y(1). Solve 5*f + h = -z*b, v*f + 4*b + b = -25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5 - 7. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f**3*y**2 - 347*f**3 - 1142*f**2 + f*y**2 + 7*f*y + f + 25*y**2 + 333 wrt f.\nAnswer: -24*f*y**2 - 2082*f - 2284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2\/3*n**3 - 1 + 2*n**2 + 2*n. Factor f(i).\nAnswer: 2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118807 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -81448, -162918, -244386, -325852, -407316, -488778, -570238?\n\"Answer: n**2 - 81473*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 3*m**3 + 2 + 4 + 1 - 2 in the form n*m**3 + p*m**2 + h*m + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7165, -7164, -7163, -7162, -7161?\n\"Answer: q - 7166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -181, -1508, -5105, -12106, -23645, -40856?\n\"Answer: -189*o**3 - o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.36, 8, 2\/3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5834 divided by 3\nAnswer: -5834\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 18. Let j = -3 + p. Calculate the lowest common multiple of (-125)\/(-10)*(-4)\/(-10) and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 453?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189551\/158 or -1200?\nAnswer: -189551\/158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14556366 a multiple of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**10\/4320 + d**7\/360 + d**4\/12 + 5*d. Let w(h) be the third derivative of k(h). Find the third derivative of w(g) wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14564? (a) 1\/2 (b) -1\/3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**4\/f*f))*f**(-1))**26 assuming f is positive.\nAnswer: f**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -5442 and -5500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a973 (base 16) in base 8?\nAnswer: -2324563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r**4 - 12*r**4 + 16*r**4)*(0 - 2 + 1 + (-4 + 2 + 1)*(-1 + 2 - 3)).\nAnswer: 21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {m: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229099*f*m - f - 194202 wrt m?\nAnswer: -229099*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8759757 is divided by 86?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 35433530 to the nearest one hundred thousand.\nAnswer: 35400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -2*v, 4*h - v = v + 36. What is the derivative of 12*q**2 - 3 - h*q**2 + 2 wrt q?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 837 + -2506\/3. Put 1\/3, n, 36, 2 in decreasing order.\nAnswer: 36, 2, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 1410*z**2 - 155975*z = 0. Calculate z.\nAnswer: -367, 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 13 = -27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5. Suppose 5*d + o = 17, p*d + 4*o = -3*d. Suppose 0 = -r - 5*k - 15, -2*r + 15 = -r - 5*k. Solve 4*w - d*j - 32 = -r*w, 0 = 3*w - 5*j - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + g = 13, 3*u + g + 2*g = 9. What is the closest to -1\/3 in u, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1008)*-1 + 1 + 4.\nAnswer: -12*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 71 = -4*h, -2*n + 0*n + 11 = 5*h - 11*n - 27 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + 134. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -6 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/(-36))\/(-7))\/((-15)\/(-4410)*14).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) + (sqrt(132)\/sqrt(4) + sqrt(33))*2))\/(sqrt(33)\/(sqrt(11) + sqrt(44)\/sqrt(4))) - (-2 + sqrt(275) + 0 + -3))**2.\nAnswer: -130*sqrt(11) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 + 5. Let s(m) = 10*m. What is z(s(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11450669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwlsj. What is prob of picking 1 w and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 422*d**2 + 7*d - 423*d**2 - 1 - 8. Let c be t(3). Let f(x) = -2*x**3 + 6 - c*x**3 + 6*x**2 - 11 + 4*x**3 + x. Calculate f(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 18673*y - 56664. What is f(3)?\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7527 + -0.7527. Let m be 23\/4 + 1 - 0. Let i be -2*(-9)\/8 - (-22 + 24). Which is the second biggest value? (a) 0.5 (b) o (c) i (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1491 + 2015. What is the remainder when p is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30222 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -14, -4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)*v**(33\/4))\/((v*(v\/v**(-33\/4))\/v*v)\/v**(2\/49)) assuming v is positive.\nAnswer: v**(-2110\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.923 + 0.077. Is s not equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 9*r**2 + 3*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/35)\/((-14)\/28)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 6*x + 2. What is the smallest common multiple of a(-8) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(13\/2)*i*i\/i**(-3\/13))**(-34))**(-14) assuming i is positive.\nAnswer: i**(-20230\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.17 - 0.59. Let q = m + -0.57999953. Round q to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.9. Let a = 2.4 + -12.8. Let d = 10 + a. What is the nearest to g in d, -1\/7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3953943 to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/2223 + -2968\/2223. Let z = 2.9 + -4. Are y and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -16*x - 143. Let w be r(-11). Let m(c) = -c**3 + 34*c**2 - 35*c + 68. Let o be m(w). Solve 4 = -2*s - o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-16) - (-41)\/(-8). Let d = 211 + o. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 97232.73g?\nAnswer: 97232730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyy when three letters picked without replacement from {v: 1, f: 1, s: 1, y: 10}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -1, 3\/14, -2\/19?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccwwcwwcwwcecccw. What is prob of picking 2 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**8\/336 + l**5\/20 + 3*l**2\/2 - 3. Let y(o) be the second derivative of h(o). Find the third derivative of y(j) wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {l: 4, b: 3, i: 4, v: 2, e: 1, f: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007471 to 7 dps.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(2\/21)*i)*i**(-2))\/((i**(4\/7)*i)\/((i*i**(-2\/13))\/i*i)))\/((i**(-1))**(-44)\/((i*i**(2\/11))\/i*i**(-2))) assuming i is positive.\nAnswer: i**(-20866\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 4*r - 29. Calculate j(-7).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172 + 363 - 337)*(1 + 3*n - 13*n + 1).\nAnswer: -1980*n + 396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12803 to three dps.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*u - 1 = 2*u, -2*t - 11 = -5*u. Let k = 3 + -11. Calculate the remainder when t is divided by 8*2\/k*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5438192 less than -0.2?\nAnswer: -5438192.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from azae?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -7*f**5\/20 + f**4\/24 + 19*f**2. Determine p(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + 0 + 0\/2. Calculate the highest common divisor of 130 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 139489*p - 139465*p = -307, 2*k - 67 = 5*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6853747 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*f**4\/11 + 23800752*f**3\/11 + 23603158156896*f**2\/11.\nAnswer: 6*f**2*(f + 1983396)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 42 + 600*a**2 - 553*a**2.\nAnswer: 47*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-41)\/4 + (1 - 12\/16). Let h = a - 88. Let n = 219 + h. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Calculate the common denominator of 8\/6 + f\/(20\/(-8)) and -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 + 12*z - 4. Let q be o(4). Put q, 5, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = -56. What is the remainder when 34 is divided by (48\/a)\/((-24)\/(-84))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3209?\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfff when four letters picked without replacement from cffcfcffffff.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1124 times -1.0902\nAnswer: 1225.3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*s + 162, 20*u - 317 = 16*u + 3*s. Calculate the lowest common multiple of u and 110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1 (b) 4 (c) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*i - 4, -5*s + 0*i + 8 = 3*i. Suppose -s*m - 25 = -9*m. Suppose -727 - 618 = -m*n. List the prime factors of n.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185152425 and 1510?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732 and 25498.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 42*a - 25905. What is n(103)?\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - f**2 + 2*f + 4. Let d be t(-1). What is the third biggest value in d, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, 1 x, and 1 v when four letters picked without replacement from rioivriiirixv.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.8. Let f = -1.31 - -1.38. Let t = -0.93 - f. Which is the biggest value? (a) t (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*(-3)\/((-84)\/16). Suppose 0 = -3*x + 5*h - 40, -h = 4*x + 2*h + 63. What is the units digit of (j - 1)\/(x\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/3 + 2428148*r\/3 + 736987838738\/3 = 0.\nAnswer: -607037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 54 + 60 - 5*m)*((1 - 5 + 2)*(0 + 0 + 1) + 1 + 3 - 3).\nAnswer: 3*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73681720 and 319776?\nAnswer: 884180640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-21) - (-4)\/(-14). Let v(k) = 7*k - 1. Let n be v(-6). Let t = 128\/3 + n. Which is the closest to t? (a) w (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 (base 9) in base 3?\nAnswer: -11122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 0*p + 32*p + 25*p - 40*p - 20*p + p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266*l - 556*l + 17 + 269*l + 2*l**2 to h + r*l**2 + k*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/2*1\/10*-110?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 124 = 0, 7100*o - 6*d + 181 = 7101*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11619280?\nAnswer: 2, 5, 61, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose -4*x = -0*q - q + 10, -q - 2*x = 8. Let m be (-19)\/(-45) - 5\/25. What is the smallest value in q, m, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13266972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 650, 1005, 1310, 1565?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-48))\/(2\/(96\/(-12)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7206 + -0.065. Let y = q + 0.0702. What is y rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.2 - 10.2. Let v be (2 - 1 - 2)*-4. Suppose -v = 2*s - 2. Which is the closest to o? (a) -3 (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-6)\/80)\/(1\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10031767979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100033 + 21112?\nAnswer: -12321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7451063 or 7451061?\nAnswer: 7451063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-105) + ((-1653)\/2373 - -1). Put -2\/3, c, 2, -2\/11 in ascending order.\nAnswer: -2\/3, -2\/11, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 22*f + 491. Let t(b) = 5*b + 125. Calculate 18*t(s) - 4*u(s).\nAnswer: 2*s + 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 17126?\nAnswer: -17129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44003 + -2?\nAnswer: 44001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/32534 and -103\/14.\nAnswer: 227738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -91. Let k(j) be the second derivative of -1\/4*j**4 + 0 + 1\/10*j**5 + j + 0*j**2 + x*j**3. Find the third derivative of k(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**6\/15 - 5*h**3\/3 + 5*h. Find the second derivative of j(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Suppose y = -4*m + 13 + 3. Suppose m*u - 32 = 4. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222001112110001121 - 12?\nAnswer: -10222001112110001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**4 - 350*s**3 + 55*s**2 - 2*s?\nAnswer: 24*s - 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 7. Let d(f) = -f + 1. Let y(k) = -d(k) + x(k). Let v be (0 - -1)\/1*5. Suppose 0*t = -v*t. Calculate y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(4\/208). Let p = a + -21. Suppose -4*b + p*r + 38 - 1 = 0, -r + 55 = 4*b. Solve 3*v - b = -4*i - 6, 3*v = 2*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 16*g**2 - 38*g - 37. Let k be v(-18). Which is the closest to k? (a) 2 (b) -0.8 (c) -2\/39 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5\/3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -27. Let c = -13 + 21. Calculate the remainder when g is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose -3*d + d = s. Which is greater: d or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-4 - 1) + 28. Suppose -30 = u*w - 32*w. Solve 0 = w*l - n - 23, -6*l + 19 = -2*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -10*w**4 + 95000*w**3 + 15*w**2\/2 - 142505*w\/2 + 23750 = 0.\nAnswer: -1, 1\/2, 9500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*k - 7. Let h be 4*(0 - (k - 2)). Let w(i) = -4 - 2*i + 2*i - i**3 + 2*i - 3*i**2. Calculate w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = k - 2*k + 4, 5*o - 12 = -3*k. Let i = 172 - 171. Put -2, -1, o, i in descending order.\nAnswer: i, o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 6:44 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12049 = -b, g + 5*b - b - 6021 = 0. Suppose g = -x - 211. Let z = 137227\/22 + x. What is the common denominator of -43\/10 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 3. Let t = 6 - 4. Suppose -v - 4 = t*j, 0 = 5*v - j - 4*j + 20. Let u be d(v). Sort 4, -3, u in decreasing order.\nAnswer: 4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239 - 220.7. Let d = -77.7 - r. Let j = -95.99999949 - d. What is j rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + w + 6 - 28 = 0, -w = 3*k + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1640 + -1410.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/5 + (-5)\/((-25)\/14). Solve 4*w = h*i + 10 - 6, 0 = 3*w + 2*i - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 399*y**4 - 222*y**3 - 509*y + 1246794719 wrt y.\nAnswer: 1596*y**3 - 666*y**2 - 509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6864240, -6864239, -6864238, -6864237, -6864236?\nAnswer: -6864235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - 504. Let q = 557 + i. Solve q = -5*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30626*64.07\nAnswer: 1962207.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97, -206, -517, -1144, -2201, -3802, -6061, -9092?\n\"Answer: -19*l**3 + 13*l**2 - 15*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3850*y - 3883*y - 1232 = -7621*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 + -1349?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 3. Let t be ((-26)\/b)\/((-7)\/(-14)). Let y = -2 + t. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4491, -2 in descending order.\nAnswer: 4491, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -594 + 588. List the prime factors of 6 - n\/(12\/1466).\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6 - 3*j + 13)*(-1 - 2 - 1).\nAnswer: 12*j + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.077, 2\/11, -4\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-26)\/104)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8543.14 centuries to years.\nAnswer: 854314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -507238 and 0.011.\nAnswer: -5579.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 2609276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + 20 + (5 - 17). Suppose 2 - 5 = -q. Suppose 0 = -2*b + t - q. Solve 0*y + b = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1142901214 by -7.\nAnswer: -163271602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/5 + 2354*i\/5 + 195260 = 0. Calculate i.\nAnswer: -325, 1502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*q - 5762, -r + 3*r - 3813 = -3*q. Does 58 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-1)\/(-7))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 48*u + 14. Let i be s(1). Let o(c) = -c - i - 2*c + 62. Let t(k) = 7*k + 4*k + 4*k - 5*k. Determine o(t(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/810*(-17 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - -3*sqrt(2299) - sqrt(2299))*-4 + 0 + -2 + sqrt(2299)*2*6)*-4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112 + 353 + 129*a**4 + 3*a**3 - 1007 - 3*a**3 wrt a.\nAnswer: 516*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + 4*sqrt(3) + 3))**2*-4 + -3.\nAnswer: -231 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(1792) + sqrt(1792) + 2*sqrt(1792))*4*2)**2.\nAnswer: -9175040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6342 - 1.717. What is the biggest value in -0.2, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10116 and 67\/648.\nAnswer: 182088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -29, -1\/9, 3, 4, -11\/3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - t + 45. Suppose -t*q = -q - 328. Suppose -q = -4*g + 7. Calculate the smallest common multiple of 18 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 v when three letters picked without replacement from vkakvakakkva?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -102. Let o(h) = 4*h**3 - 2*h**2 + 2*h - 1. Let r be o(1). Find the first derivative of -15 - 8*p**3 + s*p**r + 14*p**3 wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*-1 + -6*2*sqrt(121))\/((sqrt(396) + sqrt(396)*3)*-3).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 39 = -3*r + 14, -5*g = -4*r + 64. Solve 3*c = -k - r, 2*k + 2 = -2*c - 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80) + -1)))**2 + (sqrt(5) - (sqrt(15) - sqrt(60)\/sqrt(4))\/sqrt(3) - sqrt(5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -23*q**2. Let u(g) = -90*g. Give v(u(l)).\nAnswer: -186300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*c = -40, -3*c + 2*c = -4*u + 7. Solve 0 = u*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -4, -9.\nAnswer: -9, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110235461 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 6*q - 8. Let h(d) = d**2 + 2*d - 3. Suppose -6*b + 1 = 19. Suppose 36 = 5*t - 4. Let s(f) = b*y(f) + t*h(f). What is m in s(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115537 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = l - 2. Let n(s) = -s**3 + 8*s**2 - 5*s + 3. Calculate the remainder when n(4) is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3491*b + 6 - 3 - 2 - 8 in the form l + y*b and give y.\nAnswer: 3491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 + 3*q**2 + q + 1. Determine t(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*d + 2*d**5 - 255*d + 6*d**5 wrt d.\nAnswer: 160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11413*y + 11412*y + a - 17 = 0, -2*y = -5*a + 28 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/19, 6, 0.2, -8.\nAnswer: -8, 0.2, 12\/19, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*j - 3*h - 18 = -284*j, 4*j - 5*h - 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - 3933?\nAnswer: -3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 38 = -5996. List the prime factors of l.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -129*z - 2. Is x(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317613 is divided by 67.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 955 divide 70580230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1034*y**3 - 330*y**2 + 4*y - 4. Let h(k) = 2072*k**3 + 662*k**2 - 8*k + 7. Let v(q) = -4*h(q) - 7*o(q). Let v(i) = 0. Calculate i.\nAnswer: -1\/3, 0, 2\/175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/17 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37834919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m - 3. Let c be y(-1). Suppose 2*l = -t + 3*t + c, -5*t = -4*l + 28. Let g be 6\/l + (-7)\/(-1). What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136)*-6 - sqrt(136))\/(sqrt(32)\/sqrt(4)*4) - (-3 + 0 + sqrt(17) - ((sqrt(153))**2 - sqrt(17))*5)) + 1.\nAnswer: -31*sqrt(17)\/4 + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.068 (b) 616 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 43843 and 43843 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 - 0 - (1 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 337 - 311. Calculate the remainder when 179 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2948290 to the nearest integer?\nAnswer: 1717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 + (1 + 0)\/1 + (-39359)\/(-39359)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 3*z + 18, z + 4 = 4*b. Solve m = -3*n - 1, 3*n + b*n = 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17348731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + -1 - (-10 + -12 + 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 3*k - 56 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 8. Suppose p - c*x = 1 - 2, 3*p + 3*x = -3. Is 1 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -26\/553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1521*j. Let i(g) = -1667*g. What is i(f(c))?\nAnswer: -2535507*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 2*o + 1. Let u be j(-4). What is the closest to 1 in 1\/4, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 119800560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -254*b - 760. Let v be k(-3). Solve -4*q - 3*l = v, 0 = -3*q - 2*q - 2*l - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 - j. Let r(g) = 3*g**3 + 8*g**2 + 2*g - 5. Let z(p) = -4*l(p) + r(p). Let c be z(5). Suppose 4*t - 10 = -t. Solve 2*b + t + 8 = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/2 + 808*v**4 + 77465*v**3 + 1881854*v**2 + 7069095*v\/2 + 1729350 = 0.\nAnswer: -45, -1, 1708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let l(d) = d**2 + 1. Let h = -1185 + 1182. What is h*l(g) - 5*v(g)?\nAnswer: 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -16.5. Let x = 0.9 - n. Put 0, 1\/7, x in decreasing order.\nAnswer: x, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-196)\/(-6) - (-2)\/6. Let k = 2 + 9. Calculate the highest common divisor of d and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6*s + 30458, 5*w - 90915 + 14808 = 4*s. List the prime factors of w.\nAnswer: 13, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*q**2 + o*q*r**3 - 5*o*q*r + 37*o*r**3 - 34*q**2*r**3 + 118*q**2 wrt q.\nAnswer: 4*o - 68*r**3 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*q + 97*q - 190*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/6 - i. Let c = -2461 - -4734. Let w(f) = -2273*f - 13*f**2 + c*f. Determine w(o(p)).\nAnswer: -52*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g + 151*g + 137*g + 9917 = 0 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6679 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 258*x + 214 - 706. Let c(n) = n**2 + 5*n + 4. Let y be c(-5). Suppose 11 = y*f - 1. Solve 2*t - x*s = -3*t - 9, -f*t - 4*s = 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*h + 6322 + 9043, -4*h - 2*v = -20482. What is the hundreds digit of 18\/27*h\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 52*q**3 - 6*q**2 + 7*q - 4. What is d(2)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/(-10)*30\/4. Suppose 6*r - y = -10*r. Suppose 2*m - 3*l - 99 = 0, r*m + 5*l - 69 - 70 = 0. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 8:06 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:45 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.362 - 0.038. Which is the closest to -1? (a) t (b) -0.3 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 + 3*g**2\/2 + 2*g + 21. Let u(o) = o**2 + 5*o + 1. Let m be u(-2). Let y = -2 - m. Determine q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 63. Let b be a(28). Suppose b*v + 0*v = 2*v. Let f be (12\/8)\/((-22)\/(-4)). Is v less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116831 = 93*s + 14345. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 30*n**2 + 1807*n - 35. Let t(i) = 14*i**2 + 903*i - 16. Determine -13*t(u) + 6*v(u).\nAnswer: -2*u**2 - 897*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (2\/6)\/(3\/(-36)). Let r be (12\/8)\/v*2 - -2. Solve -2*h + r*h - 2*j - 12 = 0, 12 = 3*h - 5*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 16*m - 32. Which is smaller: -1\/73 or m?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 73*g + 73*g - 2*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-71)\/(-39) - (5 + -2). Let s = 2183\/1950 + l. Let k = -1979\/350 + s. Find the common denominator of k and 31\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -6805006, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 15. Let j(x) = x + 14. Let b(h) = -5*a(h) + 6*j(h). Let w be b(-3). Suppose -w*u = -0*u - 750. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 13, 279, 4, -5 in increasing order.\nAnswer: -14, -5, -1, 4, 13, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -309, -311, -309, -303, -293, -279, -261?\n\"Answer: 2*y**2 - 8*y - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-7)\/((-42)\/18))\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.72 - -28.82. Sort 3, 0.133, 1, t, -1 in descending order.\nAnswer: 3, 1, 0.133, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -54*z - 56. Let n(p) = 11*p + 11. Let s(h) = 22*n(h) + 4*q(h). Differentiate s(a) with respect to a.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 175, 26, -223, -572, -1021?\n\"Answer: -50*o**2 + o + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, -21, 21624, 0, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*q - 41 - 49 - 2*q + 47 + 5*q as s + z*q and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 9*p**2 + 10*p + 35. Determine g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -23\/3. Let q = -192 - -1346\/7. Which is the nearest to 0.1? (a) t (b) 1\/10 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2023.\nAnswer: -606.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c - 58. Let p(u) = -26*u + 53. Let o(j) = 8*k(j) + 9*p(j). What is o(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 3*t + 2. Let q be u(-3). Let p = -16 + q. What is the units digit of (2 + -1)*(p - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*r + 18 = 0, -v + 0*r - 26 = 5*r. Suppose c - 3*h = 6*c + 12, -5*c - 4*h - 11 = 0. Let x be -4 + c + (12 - v). Solve -4*m - 6 = x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 15307818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**3 - 66*a**2 - 160*a + 7. Let g(p) = 5*p**3 - 33*p**2 - 80*p + 4. Let f(l) = 4*b(l) - 7*g(l). What is the second derivative of f(j) wrt j?\nAnswer: 6*j - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303182367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16620, -15866, -14610, -12852, -10592?\n\"Answer: 251*c**2 + c - 16872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 142*l - 572. Calculate j(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -640*n + 11494. What is t(18)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -22*z. Let a(k) = -78*k**2 - 2*k + 3. What is b(a(h))?\nAnswer: 1716*h**2 + 44*h - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + v + 1. Let y(l) = -l**3 + 14*l**2 + 3*l - 9. Let z(k) = -3*j(k) - y(k). Let o be z(14). Suppose -6*x + o = -3*x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321981*a = -321925*a + 2016 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 17*c + 18. Let m be f(16). Solve 2*t - y + 10 = 0, m*y - 35 = 5*t - 3*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0503775747 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746918.\nAnswer: 2, 373459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/409085 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121665 divided by -360.\nAnswer: 8111\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 3. Let m be b(8). Let q = -128 + 307. Suppose -q = -m*w + 286. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 11 + 1 = 0. Let u(s) = s + 13. Let a(q) = -q - 12. Let l(x) = r*a(x) - 2*u(x). What is the remainder when 8 is divided by l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6417773, -6417751, -6417729, -6417707, -6417685, -6417663?\n\"Answer: 22*g - 6417795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 1:50 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -0.52478?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7305 + 7303.78. Sort 1, -2, t in descending order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 106 = 2*w, -5*w - s - 42 = 259. Let n = w - -71. Let l = n + 2. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**5 - 115*i**4 - 705*i**3 - 925*i**2 + 1750*i = 0.\nAnswer: -14, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6452819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 617?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 251*g**2 + 1. Let z(y) = 83*y**2. Calculate z(u(i)).\nAnswer: 5229083*i**4 + 41666*i**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d + 6. Let c be (-24)\/16*12\/(-9). Determine m(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 20\/37970287?\nAnswer: 20\/37970287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-38)\/(-6))\/((-2)\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88223331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 190, 190, 188, 184, 178, 170?\n\"Answer: -b**2 + 3*b + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 166072*x**4 - 11467*x + 2 wrt x.\nAnswer: 1992864*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16372\/6630 - 0)\/4. Let a = 1\/510 - m. Let j be (-10)\/45 + (-154)\/(-126) + -3. Does j = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488) + 2*sqrt(7488) + sqrt(7488))*-3 - sqrt(7488))\/((sqrt(120)\/(3*sqrt(6)))\/sqrt(5))*6.\nAnswer: -2808*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -1, 32, 69?\n\"Answer: 2*b**2 + 23*b - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 33*c - 103. Let a be u(-23). Solve -a = -7*l - 106 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 13. Let t(g) = 6*g - 38. Determine 14*a(y) + 5*t(y).\nAnswer: 2*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2769240 + 182885.\nAnswer: -2586355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26*k**2 - 1. Let f be m(1). Let b = 25 + f. Is (2 - b)*499\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (22\/385 - (-552)\/140)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 36*c**3 + 11*c + 5. Let a = -6900 + 6904. Let l(q) = -12*q**3 - 4*q - 2. Let f(i) = 3*i**2 + 5*i - 1. Let u be f(-3). Calculate a*w(s) + u*l(s).\nAnswer: 12*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 29*h - 124. What is g(23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 308994546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*x = 0. Differentiate 1 + x*w**2 + w**2 + w**2 with respect to w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/(-3)*(-126)\/168.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -15*f. Let t(r) = 5185510*r. Calculate t(q(w)).\nAnswer: -77782650*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*q - 50, 2*a = 2*q - 3*a + 1. What is the remainder when 34 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**5\/75 - 3*t**4\/10 + 2*t**3\/5 + 17*t**2\/3 - 20*t - 346. Let b(i) = 0. What is i?\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295 - 4*o**3 - 293 - 295 - 299 + 1175.\nAnswer: -4*o**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-5)\/(-10)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllrticitoc. What is prob of sequence ri?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/224)\/((-2)\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 1. Let y(z) be the second derivative of -z**3\/3 - z**2 + 2*z - 3. What is -9*v(b) - 4*y(b)?\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/75 + 103226\/(-30). Let m = 7228 + n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h)**(-3\/7)*(h\/(h**2*h))\/h*h**2)**(-50) assuming h is positive.\nAnswer: h**(600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4426 - 4413. Solve -9*o - 58 = -y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Suppose 32 = -4*s + 8*s + 4*c, 5*s - 5*c = 0. Let k(l) = -2*l**2 + 9. Let a(z) = -z**2 + 4. Let t(x) = s*k(x) - 9*a(x). What is t(q(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 13\/50, 0.4, -9.1.\nAnswer: -9.1, -5, -0.2, 13\/50, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -23.8. What is the closest to r in -4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(27) - sqrt(27))*1)\/(sqrt(9) + sqrt(108)\/(sqrt(48)\/sqrt(4) + sqrt(12))).\nAnswer: -4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5 - 5. Let d = -3 - x. Let y be (10 - 10)\/((-2)\/d). Is 2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 1. Let x(n) = -3*n - 2. Let q be (-1)\/2*2*(-22 - -26). Suppose 4*h - 2 = 6. What is h*x(i) + q*d(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaawwwaww. What is prob of picking 3 a and 1 w?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12838, -25820, -38946, -52216?\nAnswer: -65630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142675.62 * 0.1.\nAnswer: -14267.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 3. Let b be c(10). Let d(a) be the second derivative of 5*a**3\/6 + 3*a**2 - 3*a. Is d(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1250 or 3.663?\nAnswer: 1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {u: 4, m: 1, x: 1, v: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 576056106 and 576056107 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7 - (-36)\/9) + (-4062)\/(-2). Let s = z - 1443. What are the prime factors of s?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/30)\/((-8)\/50) and 46\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5296912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**7\/105 + 2*n**6\/5 + 49*n**5\/30 + 11*n**2. What is the third derivative of r(p) wrt p?\nAnswer: -48*p + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w**4 + 14921*w**3 - 8*w**2 - 5447382*w wrt w.\nAnswer: -48*w**2 + 89526*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 11. Suppose -4*r = -p - 5. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -99865, -13.6 in descending order.\nAnswer: 0, -13.6, -99865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 58777?\nAnswer: -58780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1404)\/65)\/27*(-5)\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1216) + 3)*4 - sqrt(1216)) + 1*(sqrt(1216) + (-2 + sqrt(1216))*1))**2 + 1.\nAnswer: 800*sqrt(19) + 30501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from gpnnnnppgpnpngnpgpng?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4)*6 + -3. Suppose 5*k - t*k - 149 = -z, -3*k + 5*z + 230 = 0. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 12, 7 in decreasing order.\nAnswer: 12, 7, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + i**2 - i**2)*(-128 + 1334 - 142 + (-2 + 0 + 0)*(1 - 5 + 2)).\nAnswer: 1068*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/7 + 456*z**3\/7 + 4320*z**2 + 24192*z - 4064256 = 0.\nAnswer: -84, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15025 divided by -59\nAnswer: 15025\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*m**25*(m**4\/m)**(-4\/5) assuming m is positive.\nAnswer: m**(1931\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -706*f**2 - f - 13. Let u be w(-3). Let j = 8987 + u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 92*o**2 - 55*o - 484. Determine m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 23*d**2 + 64*d**2.\nAnswer: 78*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 4*h - h)*(-62*h - 4*h**2 + 62*h + (-3 - 2*h + 3)*(-2*h + 4*h - 3*h)).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -19 (c) 2\/7 (d) 5 (e) -25.535 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**2 + 20*l - 20. Let b be f(-5). What is the third smallest value in -2, b, -15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r - 11. Let x be u(2). Solve 13 = -x*y - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5150.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-9)\/(-252)*320\/(-2100).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -4*s - 4*d, -5*d = 5. Suppose 0 = t + t - 4. Let c(y) = -7 - y**3 + 3*y + 2 - 2*y - s*y + 6*y**t. Calculate c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = u. Suppose 0 = -3*c + 16 - u. Solve -c*y = y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 2*d**2 + 5*d**2 + (-3 + 1 + 3)*(0*d**2 + 2*d**2 - 3*d**2) - d**2 + 2*d**2 + d**2 - 3*d + 3*d + 2*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 156969 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/14)\/(56\/392).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35915788 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*n + 124*n - 464112. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*c = -6593 - 6119 + 2296 for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16481*h**3 + 10*h**2 + 95*h**2 - 16483*h**3.\nAnswer: -2*h**3 + 105*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*g**2 - 10*g**2 + 8*g**2)*(3 - 1 - 4).\nAnswer: 12*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 4*j**2 + 2*j - 5. Let l = 11 + -11. Suppose -o + 0*o + 2 = l. Let i be (1*(6 - o))\/1. Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 46. Let x = w - -34. Let n = x + 41. Calculate the remainder when 28 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6137776 * 0.1\nAnswer: -613777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -0.5, 20\/9, 0.4, -0.4, -13 in ascending order.\nAnswer: -13, -0.5, -0.4, 0.4, 20\/9, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))\/((t*(t**(-6)\/t)\/t*t)\/t))**(-1\/28) assuming t is positive.\nAnswer: t**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/6 (b) -4\/5 (c) -1 (d) -3 (e) -11\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + i + 2*i. Let g(y) be the first derivative of 2*y**3\/3 - 10. What is f(g(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.049 + 0.284. Let f = -0.162 + z. Round f to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1588 - -1587. Sort j, -4, 1, 26.\nAnswer: -4, j, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59133078 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: Let y(g) = -8*g**2 + g - 3. Let b(w) = w**3 - 6*w**2 + 7*w - 7. Let x be b(5). Let q(j) = -7*j**2 + j - 4. Let l(n) = x*q(n) - 4*y(n). Is l(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450035.\nAnswer: 5, 90007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 14 (c) 2 (d) -1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1188, -1190, -1192, -1194?\n\"Answer: -2*h - 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1358410357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4277 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2. Let b(z) = -105*z**2. Calculate b(f(d)).\nAnswer: -945*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k - 6. Suppose -3*w = -6*c + 4*c - 2, 3*c - 4*w = -4. Let d be z(c). Suppose -3*u + 98 = -d. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = -5*g + 12, 3*k = 2*g + 12. Suppose 2*y - 3 = -p, -3*y = -2*y + k*p + 2. Suppose t - 4*u - 48 = 0, y*t + u = -0*u + 60. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2. Let b(s) = 1. Let d(i) = b(i) + p(i). Let u = 10 - 10. Let t(a) = 2*a + a - a + u + 1. Calculate 2*d(w) + t(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -426488152*u**2 - 79236978*u + 2 wrt u.\nAnswer: -852976304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540\/7 + 77. Let l = 20018 - 20017.5. What is the biggest value in 3, l, t, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 3*d**3 + 3*d**3 + (3 + 2 - 2)*(-2*d**3 + 8*d**3 - 5*d**3).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256058 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - -7. Let b(v) = -27*v - 138. What is the remainder when b(-10) is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from ghu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -12, -47, -106, -195, -320, -487?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082232 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = 13*i - 246. Solve 16*l - 19*l = -i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 24 - 9. Let f(y) = -5*y**3 + 4*y**2 - y. Let g(h) = -14*h**3 + 12*h**2 - 4*h. Let w(l) = -17*f(l) + 6*g(l). What is w(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - (-1 - 3\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -444.415 - 0.585. Let r = 446 + w. Are -87 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 16*g**2 + 6*g - 617. Let p(k) = -5*k**2 - 2*k + 1. What is 2*a(t) + 6*p(t)?\nAnswer: 2*t**2 - 1228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6717?\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 - 2*w + 9. Calculate the remainder when 98 is divided by z(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -765 - -486. Let o = -269 - j. Solve 2 = 3*d - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9898*n - 20440. Determine x(-2).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 608 + -1219\/2. Let a be 0 - (12 + (-3)\/1). Let l be 2\/(-6) + 15\/a. What is the biggest value in 2, 0.3, l, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + -7)*2\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 137*r + 1002. What are the prime factors of v(21)?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3 (b) 5 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16480*j + 16484*j - 32962*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 179 in -72, 7\/2, 0?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t + 33. What is the remainder when 177\/12 + 3\/12 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 43. Let i(f) = 29*f + 61. Let n(j) = 14*j + 31. Let g(q) = 2*i(q) - 5*n(q). What is the tens digit of g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-56))\/((-3)\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 + 18*g - 7. Let a(f) = 6*f**2 + 17*f - 6. Let q = 4541 + -4535. Calculate q*a(d) - 5*c(d).\nAnswer: d**2 + 12*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 1 + 0 + q)*(2 + 1 + 1)*(-q + 9*q - q).\nAnswer: 28*q**2 - 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(192) - (-4*sqrt(192) - sqrt(192)))*-2 + -3).\nAnswer: 576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/64)\/(((-8)\/(-1))\/(-16))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.98 + -12.48. Which is the nearest to 1\/4? (a) 1\/3 (b) 45 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 293097a?\nAnswer: -2930972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-704)\/(-112) - (-4)\/(-14). Find the third derivative of 3*n**2 + 2*n**2 - 30*n**d + 8*n**2 + 3*n**2 wrt n.\nAnswer: -3600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-190)*60\/8*(-13)\/((-13)\/(-4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 6. Let v(a) = -2*a - 5. Let s(y) = 4*d(y) + 6*v(y). Let k be s(-2). Solve 6*c - 3*c + 10 = 5*h, 0 = -h + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31409 - -30103.7. Let z = 1382 + n. Round z to zero decimal places.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {x: 5, h: 5, s: 4}.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*n + 12, 2*g = 3*n + 3*g - 1. Is 15 a factor of (-9)\/2*(-19 + -2 + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (sqrt(7) + sqrt(28)\/sqrt(4))**2)*6.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5545, 5542, 5537, 5530, 5521, 5510, 5497?\nAnswer: 5482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9464*k + 10672*k - 20144*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83296 by 1.\nAnswer: 83296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/47, 2\/7, 64, -57, 3, 2\/15?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2\/13, 3, -33.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + 15?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 18*w**2 - 78*w + 13. Let c be g(11). Solve 0 = -2*a - 2*a + 2*y, a - c*y = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6541668 + -26.3459212. Let j = w + 27. What is j rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cytm when four letters picked without replacement from yctttzemzmm.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 5 = 35 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*y = 1, 0 = -5*u + 4*y - 3 - 11. Let r be (-1)\/(28\/1052) - -5. Let d = 614\/21 + r. Is u at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c - 752000 = 0. What is c rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i + 1. Let k(c) = -c**3 - c - 3. Let r(x) = -5*a(x) - k(x). What is r(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -977, -1464, -1949?\nAnswer: -2432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-60)*30\/32. Let r = 4456\/17 - 262. Which is the nearest to 1\/2? (a) -0.5 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153400 divided by -76700.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 171838694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 62070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343) + 2 - (sqrt(343) - (1 + sqrt(343))*6))**2.\nAnswer: 756*sqrt(7) + 12429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 14. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, w: 6, z: 2, j: 1, p: 1, v: 2}. What is prob of picking 1 v and 3 w?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672a5e (base 16) in base 2?\nAnswer: 11001110010101001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.029624l to millilitres.\nAnswer: 9029.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -c + 5*b + 761, 0 = -c - 5*b + 631. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:08 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(1872) + -1)**2*-4 - (3 + sqrt(1872) + 4 - 5*(sqrt(1872) + (sqrt(1872) + 3 - sqrt(1872)) + sqrt(1872))).\nAnswer: -22471 + 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, w: 1, p: 1}. What is prob of sequence wapa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 332 - 83. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.211? (a) 2 (b) 5 (c) 2\/9 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -70*j + 4. Let r(o) = -o. Let q be (1\/(-3))\/(27\/(-81)). Let v(n) = q*k(n) + r(n). What is the hundreds digit of v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-20))\/((-1)\/(-275)). Let l be ((-108)\/k)\/((-32)\/(-20)). Let j = l - -4\/11. What is the nearest to 1 in j, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 7 - w - 7 + 6*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23d78a (base 16) to base 6.\nAnswer: 122202414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**9\/u*(u\/(u\/(u*u*(u\/(u*u**(2\/59)\/u))\/u)))\/u assuming u is positive.\nAnswer: u**(588\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 49 = 5. Suppose -u*f = 17*f. Let k = 44 - 30. Sort f, -2, k in descending order.\nAnswer: k, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 35*u**2 + 34*u + 20. Let n be f(-34). Solve -2*x + 7*x - 20 = -2*v, 0 = -3*v + 5*x - n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p. Let t be o(-8). Suppose k - 3*k + 180 = t. Calculate the remainder when 35 is divided by ((-2)\/5)\/((-3)\/k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -15. Suppose 0 = d*w - 10*w - 15. Find the first derivative of w - 10*y + 2*y + y wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7987758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/107236 and 19\/255?\nAnswer: 1608540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2*n**2 + 412*n - 411*n - 9 + 2*n**2 in the form y*n**2 + l + i*n and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 186 = 378*r - 380*r, 4*u - 3*r = 281 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14517*h**3*v**2 - 3*h**2*v**2 + 2961*h*v**2 wrt h?\nAnswer: 87102*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-11)\/(-4))\/(33\/(-22)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 72*p**3 + 305*p**5 + 32*p - 15*p**2 + 95*p**2 + 28*p**4 - 301*p**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 104\/8 + -16 - 1*-29. What is the greatest common factor of 52 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/7))**44)**(7\/2))**(-25) assuming u is positive.\nAnswer: u**1100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*g + 2 + 25 - 8*g)*(2 - 4 + 1) as x*g + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324374.\nAnswer: 2, 79, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 11. Let k = 12 + -19. Let f be j(k). Suppose 2*n + f*n - 2238 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64470340 and 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 176354 (base 9) to base 4\nAnswer: 122301022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1257 + -865. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**3 - 4*g**3 - 3*g**3 + (-9*g + 9*g + 17*g**3)*(3 + 5 - 6).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20771123 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0*n + 9\/2 - 1\/2*n**2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7292517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p + 34. What is o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14136 by 2.\nAnswer: 7068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) - (sqrt(32)\/sqrt(2))\/sqrt(8)) - sqrt(22)\/(sqrt(11) + (2*sqrt(11) - sqrt(11))*-5)) + (((-1 + sqrt(8))*-6 + (sqrt(8) + 1)*-4)*6)**2.\nAnswer: -11519*sqrt(2)\/4 + 28944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38063*4.1\nAnswer: -156058.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = r - 0*r, -5*m = 0. Solve 0 = -3*n + 2*u - 0*u - 8, r = 3*n - u + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 0*b**2 + 230*b + 153*b - 383*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 72*u - 324.\nAnswer: -4*(u - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -97721 and 0.3.\nAnswer: -29316.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 425 or 147?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o + 5. Let d be r(-5). Let f(u) = -u - 2. Let v be f(-6). What is the second derivative of d*n - n + 4*n**v + 19*n**3 - 19*n**3 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7688 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 6*t + 20. Let r(z) = -3*z**2 + 7*z + 23. Determine 4*r(k) - 5*v(k).\nAnswer: 3*k**2 - 2*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15504993 divided by -10?\nAnswer: 15504993\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 26231.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/10*26\/455?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2863755*f**2. Let x(w) = -w. Determine o(x(t)).\nAnswer: -2863755*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 12:04 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = 2*g, g + 15 = 5*a - 9. Let i(n) = -6 - 8*n**2 - n**3 + a + 5*n**2 - 3*n. Calculate i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*o**2 + 167*o**2 - 39*o**3 + 8*o**3 + 13*o**3 + 17*o**3 + 850 as m + y*o + n*o**2 + x*o**3 and give m.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 148 + 160 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*j, -13 = -3*n + 2*j - 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000557272229 rounded to six decimal places?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1689 - 1095?\nAnswer: -2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gphggghggghggpgpgg.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**7\/1260 + b**4\/8 + 2*b**2. Let h(w) be the second derivative of g(w). Let v(d) = -d**2. Determine h(v(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 34*d**2 + 32*d + 36. Determine i(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:49 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -266, -1298, -3044, -5504?\n\"Answer: -357*x**2 + 39*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = s. Let o = -2 + 2. Suppose 0*j + 3*j - 9 = 0. Put j, s, o in increasing order.\nAnswer: s, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801970691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7036.3 + 0.332.\nAnswer: 7036.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*n + 968 = 3*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*y + 1668 - 1073 = -2639 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 5. Let b(s) = 2*s - 1. Let z(t) = 5*t - 4. Let u(g) = -11*b(g) + 4*z(g). Give -4*u(r) + 3*y(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 148.\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**8\/840 - l**7\/90 + 49*l**6\/1080 + l**5\/60 - l**2 - 60. Let v(c) be the third derivative of o(c). Factor v(b).\nAnswer: 2*(6*b - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 700291974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 5*h + 4*h)*(3*h - 8*h - 2*h) as t + p*h**2 + u*h and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 2:21 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i**2 + 2 - 2)*(-2*i + 2*i + i).\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*u - 364 = -d, 5*d + 455 = -4*u. Let b(n) = 481*n**2 - 91. Let c(z) = 16*z**2 - 3. Calculate d*c(v) + 3*b(v).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1545 + 0.04\nAnswer: 1545.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 1041600*j + 213738125.\nAnswer: -5*(j - 208525)*(j + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 18 + 6 - (27\/21)\/(-3)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1435162750 divided by 205023250.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z + 20*z = 887397. List the prime factors of z.\nAnswer: 42257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 4 + 14)*((-d + 0*d + 3*d)*(-4 + 1 + 5) - 2*d + 60 - 30 - 31) as f*d + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-3) - 3 - -410 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 9*o + 4. Let p = -53\/12 - -493\/108. Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 4*k, -3*k = 6*q - 9*q + 21. Calculate the highest common divisor of 156 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 3*u - 2*u + 0*u + u - 3*u + 4*u - 5*u - u + (-u + 2*u - 3*u)*(1 - 5 + 5) - 2 + 2*u + 2 - 138777*u - 45 + 291 + 138773*u - 2*u - u + 4*u.\nAnswer: -9*u + 246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-28))\/((-2)\/4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 595319441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 792 divided by 22\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 35*a + 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, -4, 5, -1 in increasing order.\nAnswer: -195, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - 2*n**5 + n**5 + (-2*n + n + 2*n)*(5*n**4 + 0*n**4 + 0*n**4).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/3 + 6119*q**4\/3 + 64483*q**3\/3 - 39889*q**2\/3 - 64481*q\/3 + 33770\/3 = 0. What is q?\nAnswer: -11, -1, 1\/2, 1, 3070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261425.0145 - 261370. Let h = -55 + f. Let v = h + -0.011. What is v rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6)*4026\/(-1952).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12629, 25188, 37669, 50066, 62373, 74584, 86693?\nAnswer: 98694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889331.\nAnswer: 3, 37, 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.4, 0, 0.5, -4, -2\/5 in decreasing order.\nAnswer: 0.5, 0, -2\/5, -2.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -1143?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1568556, 1568558, 1568560?\n\"Answer: 2*v + 1568554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 6:20 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - k + 1089 = 0, k - 4 + 5 = 0. Let q = g + -873\/4. Which is the closest to -0.3? (a) q (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {w: 4, p: 4, l: 5, h: 2, d: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 2, n: 1, g: 3, c: 1}. What is prob of sequence gqg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950059 to the power of 1\/2, to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23036485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888634 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let a = 4 + d. Factor 1 + 3*f**3 - 5*f**a + 8*f**2 - 1 - 4*f**4 - 4*f.\nAnswer: -f*(f + 1)*(3*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2)*(-10)\/(-55))\/(((-1075)\/(-86))\/(-25)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 2*m + 1. Let r be l(4). Let b = r + 8. Suppose b = 2*p + 5*a + 11, -2*p + 2 = -a. Solve -z = -p*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-1323))\/(2\/6*1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4)*28\/(-14). Suppose -c*l + 7 + 8 = 0. Solve 4*u = l*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65656 is divided by 304?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*n**2*t**2 + 78*n**2 + 2*n + 6*t**2 wrt t?\nAnswer: -16*n**2*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - -40 - (-2 + (-1 - -2))) + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvxxvxvvvxxxxvvvxx?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v*v**(-1)\/v)\/v))**(-14)\/(v**0*v**(2\/11)*v*v))**30)**(1\/30) assuming v is positive.\nAnswer: v**(-486\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 583*y**3 - 584*y**3 + 8 + y - 8. Let s(r) = -7*r**3 - 2*r**2 + 9*r. Let i(d) = s(d) - 6*v(d). Suppose i(q) = 0. Calculate q.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 1083 = -276*s, -3241*o = -3237*o - 3*s + 40 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -21, 4\/9125, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/120 - w**5\/4 - w**4\/24 + 2*w**2. Let h be k(-15). Solve 0*u = 3*u - h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*u**2*y + 1631*u*y**3 + y**3 - 1397*y wrt u?\nAnswer: 8*u*y + 1631*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-21)*45\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194748997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380, -1377, -1372, -1365, -1356, -1345, -1332?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030.22576 rounded to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 4*j**2 - 7*j**2 + 253*j + 8*j**2 - 9*j**2 in the form y*j + o + a*j**2 and give y.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 7*a**2 - 20*a + 20. Let s be t(9). Let o(w) = 16*w**2 - 1 + s*w - 39*w**2 + 25*w**2. Suppose -2*q - 11 = -i, -3*i - i = q + 1. What is o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.5 (c) -2\/21 (d) 46 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 3*h - 3*h + (0 + 0 - 6*h)*(-4*h + 2*h + 0*h) + 22*h**2 - 39*h**2 + 62*h**2 + h - h + 2*h**2 + (-1 + 2*h + 1)*(3*h - 2*h - 3*h).\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16611, -33227, -49843, -66459, -83075?\n\"Answer: -16616*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011101111000 (base 2) to base 7.\nAnswer: -122166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -23\/4. Suppose 3*k + 1 = -f + 12, f + k = 1. What is the biggest value in f, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -244*q - 221 - 565 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b1 (base 13) to base 7.\nAnswer: -4566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -148*f**2 + 6. Let h(s) = -214*s**2 + 9. Let d(p) = 5*h(p) - 7*r(p). Let z(l) = -39*l**2. Give z(d(t)).\nAnswer: -45084*t**4 + 7956*t**2 - 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (0 + 2 - -2). Let g(z) = -21*z**2 - 5*z + 4. Let n be g(v). Let q be (-68 - 12\/3)*n. Round q to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 50. Let c be n(15). Let j = -89 - c. Suppose 2*r = -2*a + 14, a + 2*a = 2*r + 11. Solve r*m = -m - j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7897646.\nAnswer: 2, 859, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 5385534?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3*z**2 - 180*o**3 - 4*o**2*z + o*z**2 with respect to z.\nAnswer: -2*o**3*z - 4*o**2 + 2*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 7*k + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -16. Let f(d) = d + 7. Let m(y) = -2*y - 7. Let c(o) = -3*f(o) - 2*m(o). What is the units digit of c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 21*v + 42. Let i be h(-2). Suppose 4*m + 3 = 5*m. Suppose 2*q - m*q + 5 = 0. Solve q*s + 9 = 3*j - 13, -3*j + 3*s = -i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1471 + -1470.999175. Round b to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 2, h: 2, e: 1, a: 1, c: 1, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28040 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1200694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {x: 2, g: 3, i: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/35, -2, 4967?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 76. Let g(u) = -h*u + 11*u - 9*u - 2 - 2. Give g(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -49 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 451 = -19*i. Suppose -i = 11*v - 12*v. Sort v, 5, -2.\nAnswer: -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-25) + 2\/5*-51. Is (-3)\/f*-3*(-1 + -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3259.\nAnswer: 2\/3259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297165 and 225390.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 - -247. Let u be (-6)\/(3 + (-15)\/3). Suppose u*c - 2 = 4, -t*c = -2*q - 2. Which is smaller: q or 5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 1)*(-27)\/(-9) - -356 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085538*-2181.\nAnswer: -186.558378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438 = 33*x + 123 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 4)*(-1)\/(-2). Let z(l) = 2*l - 1. Let h be z(g). Let x = -6 + h. What is the lowest common multiple of 5 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 6*g - 12. Calculate v(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 11*a - 663. Determine b(0).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 + o**4\/4 - 5*o**3\/6 - 2*o**2 - 10*o. Let k be m(-4). Let x be (-1)\/((-2)\/50 - k). Is x smaller than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 46 - 48*o**2 as v*o + h + y*o**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28*4)\/(143\/234*9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.1205261 to one decimal place.\nAnswer: -47.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2.0564 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13649.0775 to zero decimal places.\nAnswer: 13649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5921585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 864 and 32508.\nAnswer: 260064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*y + 66 + 125, 5*m - 3*y = 1023. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10401.9994047 + -10402. What is v rounded to 5 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*o - 15, 15 = 3*b + 2*o + 3*o. Suppose -d = -b*n - 5*n + 252, 3*d = n - 42. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-25)*c)\/(c**(-14)*c) assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*2786891\nAnswer: -808198.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*s + 32, 0 = 4*y + 4*s + 22 - 118. Let x be (-1)\/(y\/1)*-2. Let a = -0.45 + 0.05. What is the nearest to -2\/3 in 3, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3606215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let f(r) = r - 1. Let k be f(-4). Let j = k + 8. Let n(x) = 4*x - 4. Determine j*m(a) + n(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 30*t + 69. Is y(-34) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 8*a - 9. Let y be z(-9). Suppose 4*u - 358 = -2*r, -5*r + r - 2*u + 686 = y. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-3) + (0 - -54)\/(-6). Let r(g) = -g + 7. Let c(w) = w - 2. Let m(l) = y*c(l) - 2*r(l). Let b(x) = -10*x. Determine m(b(z)).\nAnswer: 50*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 6694650*b - 53556880.\nAnswer: -5*(b - 1338922)*(b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 11) in base 16?\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19180.898 - -19121. Let a = y - 0.102. Let o = a - -53.9. Round o to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 861\/18942*48\/(-6).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v + 2. Let i be a(0). Suppose -3*d - 16 = -4*w, -w + 4*d = -0*w - 4. Let m = w - i. Solve -r - 4*s - 7 = 0, m*r - s = s - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**7\/273 - 8*j**6\/195 - j**5\/10 - j**4\/13 - 177*j. Factor n(f).\nAnswer: -2*f**2*(f + 1)**2*(f + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + 51 - 107 - (-50 - -2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -101. What is the tens digit of (-3951)\/(-6)*(-2)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - -28. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let h be 3*(0 - (3 + -4)). Sort y, h, -1\/2 in descending order.\nAnswer: h, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*g - 2*g**5 + 31*g + 9*g**3 + 3*g**5 + 0*g**5 - g**5 + (-5*g**2 + 6*g**2 - 3*g**2)*(0*g + 0*g - g**3).\nAnswer: 2*g**5 + 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14172580 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581*q - 537*q - 2420 = 0. Solve -8*c + q - 63 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 1, a: 3, n: 6}. Give prob of picking 2 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -690 (b) -0.4 (c) -1\/3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 41*a**2 - 394*a + 39. What is i(-23)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4799, 4934, 5153, 5450, 5819, 6254?\nAnswer: 6749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8529460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b52 - -106a?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 + 138*f - 17. Give l(13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v + 122 = 0. Let f = 124 - v. Solve -2 - 4 = f*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 - -104. Suppose l - 327 = -k*i, -2*l - 5*i = -99 - 530. List the prime factors of l.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 113, 280, 525, 854, 1273, 1788, 2405?\nAnswer: 3130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Factor -1 + 2*i**4 + 1 + i**2 - i**4 - v*i**3.\nAnswer: i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 9 = -10*s. Suppose 0*u - 4*u + 3 = n, -s*u = 4*n - 12. Suppose -g = -u*g - 4. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccfw when four letters picked without replacement from ccwcfwfffwwffffccff.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 4 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36.5 and 64.4339281.\nAnswer: 27.9339281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 + 3 + ((-4)\/1 - -1) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-1581)\/(-310))*10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 367 + -302.3. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3 + 4 + n + 3. Let r be -2 + (7 - -2) + -1. List the prime factors of f(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -651 or -902?\nAnswer: -651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/2, 1\/144, -2, 0?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216 + -168. Suppose d = 102 + t. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2*c + 1. Let y be q(1). Solve -5*v - 6 + 1 = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234223032 - -12?\nAnswer: -234223020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 32532 = -165*k - 45756 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 - 298*m + 417. Give d(-61).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*y = 83525, -4*b - 17*y + 15*y = -66802. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97061040?\nAnswer: 2, 3, 5, 134807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:50 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18666 by 549.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*d + 179*d = 5577 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -176 - 36*o - 179 + 355 as a*o + f and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbhbbxbhbhzpbbhxp. Give prob of sequence bbhb.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/25))*(a\/(a\/a**(-12\/5))*a)\/a)\/(a**4*a**(2\/7)*a*a) assuming a is positive.\nAnswer: a**(-1534\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/12 - 17*o**3\/6 + 15*o**2\/2 - 2*o. Let g = -450 - -467. What are the prime factors of y(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 - 8*z - 13. Let w be c(-3). Solve -5*b - w + 7 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 26 - 23) + (4 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2974, -11766, -26412, -46906, -73242, -105414?\nAnswer: -143416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 270?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-667 + 691 + 39 + 0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*99\/22. Let w be 1\/a*(-196796)\/(-16104)*-3. Let l = -18\/671 - w. What is the common denominator of l and 65\/186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 14*w = 1, -5*w = y + 2. Let k be (-12)\/8 - 42\/(-4). Sort -5, k, y, 5 in descending order.\nAnswer: k, 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*b - 9 - 11 = 0, -4*b = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4318*k - 4359*k - 71339*k**3 - 4327*k + 13004*k + 71336*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456056.3 litres to millilitres.\nAnswer: 456056300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4.39922.\nAnswer: 0.439922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) - 63\/(-18). Solve 5*s = -4*h - 8, -b*h - s + 5*s = -28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 45114?\nAnswer: -5\/45114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421 + 3476 = 142*a - 769 - 4418 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -86568100 to the nearest one hundred thousand.\nAnswer: -86600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28425 from 38906.\nAnswer: 67331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, 839, 3892, 9841, 19652?\nAnswer: 34291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by -29.\nAnswer: 72\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 7 - 7*j + 0*j - j. What is the least common multiple of 4 and l(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*x = 20, 0 - 13 = -2*m + 5*x. Let a be (25 + -24)\/(1 + m\/2). Suppose 12\/7*v**4 + 0*v + 0 - 4\/7*v**5 + 4\/7*v**a - 12\/7*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 4979?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y + 5. Let t be k(0). Let m(r) = 6*r**3 - 3*r**2 + 4*r. Let p be m(3). Calculate the common denominator of -73\/12 and t\/12*p\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -296668311*c**2 - 131452*c - 118 wrt c?\nAnswer: -593336622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 6630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35b6cc - 2?\nAnswer: 35b6ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 3*w + 16 = 0, 4 = 2*i + w. Let x = -3.907 + 2.807. Which is the closest to -1? (a) 0.5 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 50*j + 20280000 = 0. Round j to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1139.99997335 - -1140. Round r to six decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9497, 9493, 9487, 9479, 9469, 9457, 9443?\nAnswer: 9427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**1*y))\/(y*(y*y**(1\/5)\/y)\/y)*(y**(2\/3)\/y)**(-3\/20) assuming y is positive.\nAnswer: y**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/8 + 789*v**2\/8 + 3195*v\/8 + 2403\/8.\nAnswer: -3*(v - 267)*(v + 1)*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5411 - 2?\nAnswer: 5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 94, 0.0215, 0.5 in decreasing order.\nAnswer: 94, 0.5, 0.0215, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00232 take away -35739.1?\nAnswer: 35739.10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 832, 375, 0.5 in ascending order.\nAnswer: 0.5, 375, 832","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 7 - 258\/(-88). Let i = 149\/396 - w. Factor 0 - i*m - 2*m**2 - 8\/3*m**3 - 10\/9*m**4.\nAnswer: -2*m*(m + 1)**2*(5*m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 3. Let b(v) = -1. Let i be 2\/(5\/(-2) + 2). Let h(x) = -1. Let o(w) = i*b(w) + 3*h(w). Give -5*o(y) - t(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 45 + -57 + -28\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = 12. Let w(n) = -3*n + 2. What is the remainder when 20 is divided by w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + (-2)\/(-6))*16\/16. Let a = -3 - -3. What is the smallest value in a, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/6 + 22*n**3\/3 - 217*n**2\/2 + 583*n\/3 - 280\/3.\nAnswer: (n - 10)*(n - 1)**2*(n + 56)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*n - 583627 + 2096827 = 23*n. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32760 divided by -5\nAnswer: -6552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266511, -532856, -799201, -1065546?\nAnswer: -1331891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1121 - -1133.73. Let y = 0.27 + g. Let h = y + -13. Which is the second biggest value? (a) 1 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/401053 and 3\/10.\nAnswer: 4010530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b*b**(-4\/11))\/b*(b\/(b\/(b\/(b*b*b\/b**30))))\/b*(b\/((b*b\/(b*b**(-2)\/b))\/b*b))\/((b*b*b**(13\/6)*b)\/b) assuming b is positive.\nAnswer: b**(1351\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -4\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9844311 greater than or equal to -9844316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 6.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d*d*d*d\/(d**(-11)\/d*d)*d*d)\/d)*d**(-2\/15)\/d*(d\/(d*d**(1\/3)))**44 assuming d is positive.\nAnswer: d**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 164b0 (base 16) in base 4?\nAnswer: 112102300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14656757 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 - 65241058*j\/15 + 65241056\/15.\nAnswer: 2*(j - 32620528)*(j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507409224 to the power of 1\/4, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1556 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 604 and 8.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + h + 8 = -3*v, 8 = 4*v + 2*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 18*f**2 + 3*f + 2. Let h be p(-17). Let b = h + 340. Let r = -13 - -35. What is the greatest common factor of b and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 + 2. Let m be o(2). Suppose n = 3*y + 1 - 4, m*n + 6 = 5*y. Let g = y + 3. Solve -b + 5*v = -14, g*v = -2*b + 2*v + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525318 (base 10) in base 4?\nAnswer: 2000100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79527 and -502.2.\nAnswer: 39938459.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428 times 0.4?\nAnswer: 571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3578926342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8907*j + 8781*j + 1008 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -175.5 and -2226253.\nAnswer: -2226428.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let r(q) = -2*q**3 - 7*q**2 - 2*q + 2. Suppose 88*l = 3*w + 83*l - 1, 0 = -4*w - l + 9. Determine w*f(g) - r(g).\nAnswer: 2*g**3 + 7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drd when three letters picked without replacement from rdrddrddddrdddrddd.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7055.\nAnswer: 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -762 - -1101. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-5)\/(-15))*-1. Suppose -15 = q*m, 2*a + 2*m - 37 = 5*m. Let v = 9 + 0. Solve 5*h + a = -v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-6)*6\/1. Let m = w + 1. Calculate the common denominator of -83\/8 and (2\/m)\/((-4)\/265).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0474862 to four dps.\nAnswer: 0.0475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 673925158 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6167122 millilitres to litres.\nAnswer: 0.0006167122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275262153.\nAnswer: 3, 149, 615799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158206472*z**3 - 3955135118*z**2 + 5336391*z\/8 - 225\/8.\nAnswer: -(z + 25)*(35576*z - 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 151*q - 146*q + 25, 5*q + 25 = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 730475327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336094 + 323994 = 11*z + 180081. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by 3 - (-2 + (0 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13743*o + 3510 = -13608*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*l**3*s**2 - 5*l**3*s - 3*l**2*s + l**2 - 127*l*s**2 wrt l?\nAnswer: 306*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 105 - (-187 - (-197 + -7))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 5*l**2 - l - 1. Let n be a(5). Let p(v) = -v**2. Let o(w) = -2*w**2. Give n*o(y) + 11*p(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 3*z + 4*z)*(-3316 - 724 + 1642)*(12 + 5 - 4) in the form q + v*z and give v.\nAnswer: -62348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.1 - 12. Let k = t + -0.1. Let c = -110\/7 + 16. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 4189, -1\/3, 0.134 in decreasing order.\nAnswer: 4189, 1.2, 0.134, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -16. Let w be (y\/(-2))\/3 - -5. Suppose -1302*p = -1275*p - 54. Solve 1 = -p*d + w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - q - 4)*(13 + 11 - 17)*(-405*q - 10 + 408*q + 1) + (-1 - 2 + 1)*(-q + q + 2*q**2) + 0*q**2 + 4*q**2 - 2*q**2.\nAnswer: -23*q**2 + 63*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3647, 3652, 3657, 3662?\n\"Answer: 5*y + 3642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -718*c + 7244 - 782 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318, -1270, -2850, -5052, -7870, -11298?\nAnswer: -15330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 13) in base 15?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26804 + -26806. Let j = 1\/32 - -27\/160. What is the closest to j in 3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 208\nAnswer: -5\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c. Suppose -5*h + 31 = -3*j, c = -3*j + 4*h - 4 - 25. Let n = -2 - j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1 - 2) - -2. Let h be 2 + -1 + (3 - w). Suppose -5*z = -a - 12 + 4, h*z - 8 = -a. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - 80\/30. Let p be (-503)\/(-165) + 10\/(-55) + q. What is the fourth smallest value in -1\/14, 0, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/79056, 9\/5, -0.2 in descending order.\nAnswer: 9\/5, -35\/79056, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*q + 24, -5*q + 284*x - 281*x + 31 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t - 8*t + 0*t)*((-5*t + 3*t + 4*t)*(-t - 1 + 1) + t - t - 2*t**2) in the form b*t**2 + h + s*t + p*t**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8737, 8870, 8993, 9100, 9185, 9242, 9265, 9248?\nAnswer: 9185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 37*g**2 - 296*g - 3496. What is k(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808 divided by 34113.\nAnswer: -808\/34113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 3*s**2 + 2*s - 1. Let m be v(-2). What is the common denominator of 25\/11 and 0 - m*5\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 0. Let h be (7965\/45)\/(-59) + 1\/(-5)*-9. Let j = 43 + -43.4. Which is the nearest to h? (a) k (b) j (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*d + 4, 2027*l = 2025*l - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/6 + 2*n**3\/3 + 3*n**2 - 18*n. Factor i(s).\nAnswer: -2*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494104647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140760 divided by -552.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185.5 + 186. Which is the nearest to -0.1? (a) -2\/7 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/2*((-5)\/20)\/(24\/(-96))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + -9)) + -20 - (1 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/14 and 16\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 2\/7, -1, -4, 5277, 3?\nAnswer: 5277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.06\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d - 5*d - 2*d**3 - 2*d**2 + 1 - 3 + 4 to the form x*d**2 + t*d**3 + y + v*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -4*w + 5*x - 285, 0 = 158*w - 163*w + x - 342 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 15) + 1 + (3 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 12126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 + 2267\/8. Let d = 123.91 - -1.09. Let k = d - 121. Put -1\/2, k, w in decreasing order.\nAnswer: k, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/983 - -981\/1966. What is the common denominator of -41\/191 and z?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 74*t**3 + 7*t + 7. Let s(i) = -37*i**3 - 4*i - 4. Determine -4*d(b) - 7*s(b).\nAnswer: -37*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-44) - (-1 - 9\/(-11)). Let q = 45.9 - 46. Which is the closest to q? (a) -15 (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416562571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8 = n. Let s(d) = d**3 - d + 3. Let j(k) = k - 2. Let u be j(2). Let g be s(u). Solve g*y - 2*y = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8630705.\nAnswer: 5, 41, 42101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4033689.\nAnswer: 3, 11, 31, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + -240. Let t = -0.44 - -0.34. What is the nearest to t in 1\/14, m, 0.4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(480))\/sqrt(6) + -2*(0 + sqrt(5)*-2) + (sqrt(15)\/(sqrt(21)\/(sqrt(14)\/sqrt(2))) - (-2 + (sqrt(125) + 1 - sqrt(125)))).\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 3*j + 75. Is (-41385)\/(-25) + 6\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2656361531 to the nearest one million.\nAnswer: -2656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25430069 is divided by 747943.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2340431873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1565641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -1 - (-1 - 130). Let j = -93 + f. Let i = j + -24. Solve -4*w + w = -2*g + i, 2*g + 3*w + 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = -4*b - 718. Suppose a + 4*a - 2*z = 55, 5*a - b*z - 55 = 0. Let n(d) = 4*d - 5. Let t be n(4). Calculate the highest common divisor of a and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180\/11 - 889\/55. Factor -6\/5 + f*y**2 + y.\nAnswer: (y - 1)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245d9 (base 14) to base 7.\nAnswer: -520262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 + 2*r**2 + 5*r. Let o(v) = 2*v**3 - v**2 - 2*v. Let j(h) = -2*i(h) - 5*o(h). Let p be j(-1). Solve -4*d + n = p, -d + 2*n + 1 = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b + 14*b + 102*b**3.\nAnswer: 102*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -13 + (308 - 359).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5, -4*m - 98565 = -5*b - 0*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 50*b**2 + 133*b - 374. Let q be a(-47). Let x(d) = -d**3 - d**2 - d + 3. Let g be x(0). Sort 42, -2, g, q in increasing order.\nAnswer: -2, q, g, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 106037108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 18*u. Let h(r) = 6*r**2. Give m(h(k)).\nAnswer: -72*k**4 + 108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 984 + 337 = -51*n + 907 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/1620 + s**5\/135 - 5*s**4\/108 + 17*s**3\/6 + 12*s. Let n(z) be the second derivative of u(z). Factor n(v).\nAnswer: 2*(v - 1)*(v + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d + 4. Let n be v(0). Suppose 3*w = -3, 540 = -4*p - n*w - 744. What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 954*u + 951*u - 3738*u + 875*u + 956*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1170\/910)\/(6\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4212.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 13*a - 4. Let z be t(6). Let m be 3\/(-3) + 0 + z. Let n be 5*1\/10*6. Solve 2*w = n*w - m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24494, 48990, 73486, 97982, 122478?\n\"Answer: 24496*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/7399 - 154657\/2671039. Is c less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y**5 + 256*y - 256*y)*(8 - 5 + 9).\nAnswer: -216*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 + 2649*l - 18633. Determine b(7).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5))*3.\nAnswer: -3*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1380.902 nanograms?\nAnswer: 1.380902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-46)\/(-16))\/((-13)\/(-104)). Which is smaller: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -647, -1212, -2771, -5822, -10863, -18392, -28907, -42906?\n\"Answer: -83*r**3 + r**2 + 13*r - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*z - 8, -3*g + 5*z - z = -8. Suppose 2*y = -4*f + 1084, g*f - 3*y = 952 + 152. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -45 - (17 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138\/5 or -16\/3?\nAnswer: -138\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1056 - 930. Let f = 34 - -2. Calculate the highest common divisor of f and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 353353918 + -1.3.\nAnswer: 353353916.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2387810 + 3606710. What is z rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1921 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 plus 0.69172?\nAnswer: 0.65872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from {j: 16, t: 4}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from {w: 2, n: 1, k: 1, t: 1, m: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 11*t - 49. Give p(17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143171777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9777 + 9768.8. What is the third smallest value in -1\/2, q, -15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(32\/(-12))*(-64)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((-37 - -25 - -14) + -16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + -3 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6500418 divided by -307\nAnswer: -21174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*v - 2415 - 1545. What are the prime factors of v?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1902927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.88 - -27.42. Let m = 32.2999796 - j. Round m to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*r - 36 = 0, -v - 12 = 3*r - 28. Suppose 0 = -5*q - 0*q - 4*d + 695, 5*d + 515 = v*q. Calculate the highest common factor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -30*z**2 - 3*z + 7. Calculate f(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 1\/45*d**5 + 0 + 10*d**2 + 0*d + 1\/180*d**6 + 0*d**4 + 0*d**3. Factor j(o).\nAnswer: 2*o**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1220 divide 540963838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = 2*w. Suppose -w*v - z + 8 = z, 3*v + 5*z - 14 = 0. Suppose 3*d - 39 = 2*i, d - i = v*i + 23. Solve 3*q - 5*m = q - d, q = -4*m + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (48 - 44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*(-14)\/805)\/(4\/30*42\/(-12))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*i - 2*n, 3*i - 3*n = -i + 43. Let w(l) = l**3 - 9*l**2 - 9*l + 4. Is w(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 7, -4.\nAnswer: -4, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.056, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 46041784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.3013 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56a + 5?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.593 - 323601.\nAnswer: -323600.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -1, 15.\nAnswer: -4, -1, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6031308 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 10367.\nAnswer: 124404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(4)\/sqrt(2) + 3)*3.\nAnswer: 12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 13. Let r be o(17). Suppose 0 = -w + 6 - 0. Let q = w + r. Solve 2 = q*k - 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*z = 0, 0 = -3*x - z - 0*z - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1928922 and 28356.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufnsnsnnnwnnwsnnff. Give prob of sequence sfww.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*v - 44 = 0, 24 = 2*b + v + 4*v. Let w = -13 + b. Suppose -4*x = -4 - w. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -14. Suppose -2*j + 7 = -f. Calculate the remainder when 18 is divided by j - (-3)\/9*0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10. Let g be (-6)\/x*8\/(-12). Suppose 2*y + 3*y - 4*f = 27, -g*y = f - 30. Put y, -2, 3 in ascending order.\nAnswer: -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/42)\/12)\/(1\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 9, o: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4373 (base 9) in base 6?\nAnswer: -22533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i - 4. Let f(u) = 7*u + 1. What is 2*d(x) + 11*f(x)?\nAnswer: 5*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5381? (a) 0.2 (b) 1\/30 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18365*c*w**3 - 49019*c*w + c + 79*w**3 - 2*w**2 - 2 wrt w?\nAnswer: -110190*c + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-75)\/200*26\/(-15) and 89\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114789\/546452 + 51\/2039. Calculate the common denominator of m and -113\/20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11747 (base 9) in base 5?\nAnswer: 223100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13506331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 150862 times -0.3?\nAnswer: -45258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q + 8*q = 312. Calculate the highest common factor of q and 1536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-4))\/((-154)\/(-22)*(1159\/(-1330))\/(-61))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/4))**(-1\/57)*o**(-4)*o*o*o*o\/o**(-1\/2)*o)\/((o**(-2\/7))**8*((o\/(o\/o**4)*o)\/o*o)\/o**1) assuming o is positive.\nAnswer: o**(-377\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -16. Put y, 9, -2 in decreasing order.\nAnswer: 9, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17628, -35243, -52858, -70473?\nAnswer: -88088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 5, 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2205 = 11*n - 16*n. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 0 - 1\/5*f**4 - 3\/5*f**2 - 1\/5*f - 3\/5*f**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from vameeeeeemaee.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123.4 - -123. Which is the third biggest value? (a) -5 (b) -4\/3 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -3, 15, 1, -5 in decreasing order.\nAnswer: 15, 1, 1\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {f: 2, q: 1, o: 6, y: 3, c: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22.2 - -0.2. Let x = -18 - a. Sort 3, 2, x in descending order.\nAnswer: x, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 - 372*u**3\/7 - 1464*u**2\/7 - 208*u.\nAnswer: -2*u*(u + 2)**2*(u + 182)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/7, -638, 5\/2, 2\/25, -272, 0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 114. Suppose -3*v + 534 = 3*j - 0*v, 6 = 3*v. What is the greatest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 - 116*q + 469. Let k be w(4). Calculate the greatest common factor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394 (base 13) to base 2.\nAnswer: -1001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/(-21) - 0)*6\/4. Let l be -3 + 11\/w + 5397\/84. What is the greatest common divisor of 1216 and l?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*f**3 + 13*f**2 - 8*f**2 - 5*f**2 - 267*f**3.\nAnswer: 440*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*d - 7*d - 4, 4*i = -3*d - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 <= -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 32\/21*u**7 + 0*u**3 + 0*u**6 - 67 + u + 11\/3*u**4 + 0*u**5 + 0*u**2. Find the third derivative of q(w) wrt w.\nAnswer: 3840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2ac?\nAnswer: 2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445 is divided by 218.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -249 - -222. Suppose 3*t - 1 + 397 = 3*o, 0 = 2*t - 3*o + 260. Let l = k - t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*a**2*p**4 + 35*a**2*p**2 + 5*a**2 + 8*a wrt p?\nAnswer: -44*a**2*p**3 + 70*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*s = -17, 3*z + 0 = 5*s + 14. Suppose 2*i - 4 = -4*x, -z*x = -5*i - 8*x + 15. Let y(a) = 3 + 4*a - 10 + 3*a - i*a. Give y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z**5 + 1131*z**4\/5 - 801*z**3\/5 - 1113*z**2\/5 + 381*z\/5 - 18\/5 = 0 for z.\nAnswer: -3, -1, 2\/35, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 23*d**8\/336 + 11*d**5\/20 + 40*d**2. What is the third derivative of k(g) wrt g?\nAnswer: 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/((-4)\/(-30)). Let y = x + -4. Suppose 47 = 6*b + 11. What is the lowest common multiple of y and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, r: 8, f: 4}. Give prob of picking 1 v and 1 f.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2646 and 308112?\nAnswer: 2773008","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 10*r - 3586 = -171*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(13\/4)*x))\/x*x*(x*x**11*x)\/x*x)\/(x\/((x**(2\/67)*x)\/x))**12 assuming x is positive.\nAnswer: x**(-239\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3518448?\nAnswer: 2, 3, 23, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/42 - -2 - 72\/126?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 0.14?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3.9. Let s = t - 0.15. Let h = -3.95 + s. Which is the third biggest value? (a) h (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l + 341. Let p be y(24). Solve -3*c - 4*t + 6 = -5*c, -p*c - 2*t = 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 65832859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3306 - -7147. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.51875 - 67.51846. Let y = z + 21. What is y rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 10*o - 24. Let c be f(6). Let n be 288 - (c\/5 + -1). Suppose x = n + 13. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30306844 rounded to 3 dps?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -216c + b6?\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 277.\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 18. Suppose -3*r - 6 = -p*r. Factor -1\/3*g**3 + 0*g**r + 0*g - 4\/3*g**5 + 0 + 5\/3*g**4.\nAnswer: -g**3*(g - 1)*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6104*n**2 + 30 + 7585*n**2 - 30.\nAnswer: 1481*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -453 - 356303?\nAnswer: -356756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 193920 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 millions digit of 873225733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 9, -10\/11 in decreasing order.\nAnswer: 9, -0.3, -10\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*4*-1)\/((sqrt(63) + sqrt(2268)*-2)\/sqrt(7)).\nAnswer: 4*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120724 and 6.\nAnswer: 362172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/25 (c) 18 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33a439 (base 12) to base 3.\nAnswer: -1112222220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145 or 597?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-42) + (-276)\/(-288)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)\/n**(-2\/11)*(n*n**(2\/11)\/n)\/(n\/(n*n**(2\/5)\/n)) assuming n is positive.\nAnswer: n**(-107\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 249, 248, 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1.5 (b) 3 (c) 280\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from jggjegjeggjgjeegg.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 32 = 8. Find the second derivative of -2*o - 8*o - s*o + 14*o**4 + 9*o wrt o.\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 456698*x**2 + 2283487*x - 5. Determine f(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - c + 8, -4*c + 2*c + 4 = 4*k. Let r(n) be the first derivative of -n**k + 8*n - 2 - 3 + 1. Calculate r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*v**2 - 7*b*v - 5104*b + v**2 + 184356 wrt b.\nAnswer: -v**2 - 7*v - 5104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(9)\/(sqrt(9)\/sqrt(3)) + -3)**2 - 1*((sqrt(3)*2 + -2)**2 + sqrt(192))) + 3.\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s\/s**(-1\/3))))**(-43)*(s**4)**(-49))**(4\/7) assuming s is positive.\nAnswer: s**(-4072\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + -0.06. Let n = 0.2 + c. Let i = n - 0.19996. What is i rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 815598836 to the nearest integer?\nAnswer: 28559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fof?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Let o(b) = -2004*b. Let k(i) = 2005*i - 1. Let r(y) = -5*k(y) - 6*o(y). Let u be r(s). What is u rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 133 = 28. Suppose 4*y + y + 74 = 3*i, 4*i - 24 = 2*y. Let g = d + y. Solve g*o + 13 = -12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/7))*u)\/u**6*(u**(2\/3))**(-29\/3) assuming u is positive.\nAnswer: u**(-730\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2050.85*1.458.\nAnswer: -2990.1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:46 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let r(f) be the third derivative of -f**5\/15 - 37*f**2. Determine r(p(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 25*c - 168 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*g**3 + 205*g**2 - 6*g*n + 575504*n with respect to g.\nAnswer: 36*g**2 + 410*g - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2100))\/(-3*(sqrt(3) + sqrt(3)*-3)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010010000011010101101001111 + 11?\nAnswer: 110010010000011010101101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20759 - -36712. Is 301 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1128, 1127, 1126, 1125, 1124, 1123?\n\"Answer: -i + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7100, -14194, -21260, -28286, -35260, -42170, -49004?\nAnswer: -55750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 515 = -42*c + 256 + 259 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 371*q**3 - 7*q**2 + 4*q + 169. Let w(z) = -186*z**3 + 3*z**2 - 2*z - 84. Let a(g) = 3*k(g) + 7*w(g). What is the second derivative of a(p) wrt p?\nAnswer: -1134*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + 17 + (-386)\/(-1). Suppose 1083 = -7*x - k. Let z be (-291)\/x + 16\/(-56). Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 5506*s**2 + 6*s + 11000*s**2 - 5505*s**2 - 2 to b*s**2 + j + c*s and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from nhhnhnkhannknhhnk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 13. Let p(h) = h + 8. Let x be p(-6). Let t(v) = 25*v**x + 10 - v - 4*v - 4 - 26*v**2. What is t(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-18 - -40 - 35) - (-6 + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409 + -404 + (6 - 3) + -10 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -5*u**3\/6 + 3*u**2 - 3*u. Let f be b(-7). Suppose f = 4*n - 51. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o + 1. Let v(g) = -23*g**2 - 4*g - 2. Let b(u) = -5*r(u) - v(u). Let x be b(-2). Let i = x - 64. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1072*h**3 + h**2 - 3. What is n(-1)?\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Suppose -4*n + 2*n + 15 = 3*v, 2*v + n = 9. Let l(x) be the second derivative of -2*x + 0*x**2 - 5\/6*x**4 + 0 + 0*x**v. Calculate l(b(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10120 - 322113?\nAnswer: -311333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 454608 divided by 6?\nAnswer: 75768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 3}. What is prob of picking 1 y and 2 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3325.9 - -3326.11774. What is i rounded to 3 dps?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 - v + 3. Let o be x(0). Suppose 4*k - 2*a = 15470, o*a - 20 = -a. What is k rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17098971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/6*(-4)\/((-5)\/50*-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -34, 22, 4.\nAnswer: -34, -6, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*i - 57*i - 123040 = -98*i. Which is bigger: -772 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z = -b - 42*z + 99, 3*b - 302 = -4*z. Calculate the remainder when 368 is divided by b.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 675\/10 - 1\/(-2). Suppose -66*y = -z*y + 4. Suppose -5*m = -y*m - 15. Solve 3*g - m + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(68) + 0))**2 + 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -214, -502, -916, -1462?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-49)\/(6 - 13) + 2\/((-10)\/37). Which is the closest to 1\/3? (a) o (b) -3\/5 (c) 4\/7 (d) -17\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y - 1. Determine g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 7*n + 13*n + 37*n - 85*n.\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-14)*(-8)\/(-20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.642 + 11.358. Is -5.1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -4, 1\/18, -1\/2 in decreasing order.\nAnswer: 4, 2, 1\/18, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 155078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 893*s + 3561. Let g be o(-4). Solve -5*l + 2*m + 17 = 29, -5*m + g = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of ((-2)\/10)\/((-18)\/30)*477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g**33*g)*g*g*g*g)\/g)\/g*g*g**(7\/5)\/g*g assuming g is positive.\nAnswer: g**(-133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -21. Let a be (15\/(-20))\/(2\/(-8)). Suppose d = -4*l - 7, 4*l - 5*l = -3*d - 8. Sort b, a, d, -4 in increasing order.\nAnswer: -4, d, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5620 + -5614. What is the remainder when 395 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/455)\/((-180)\/3600)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 1 - k**3 - 8*k**2 + 17*k**2 - 8*k**2 - 3*k to the form p*k + n*k**3 + t + b*k**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94 and 15316595.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = 46404 - 846883. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from eeyeexetwxxe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2*3\/(-2). Let i(o) = 1 + 1 - o - w. Let s(z) = -4*z. Determine i(s(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.315 times -3?\nAnswer: 3.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -785. List the prime factors of r.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31164 and 372484.\nAnswer: 7822164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 43*o + 1 - 10 - 14*o + 7 + 0*o**2 + 2*o**4 in the form n*o**2 + m*o**3 + x*o**4 + s*o + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(55755\/1700) + 12\/(-42). What is the fourth smallest value in k, 1\/2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1862 - 1844. Calculate the smallest common multiple of k and 39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/260 (b) -4\/27 (c) -12 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168706410 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k, 4*k + 6 = -4*r - 38. Let t = -44 - -28. What is the tens digit of (-339)\/r + 4\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490920.61 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 102593322 divided by -28286\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1522, 50\/19, -3, 4\/43 in increasing order.\nAnswer: -3, 4\/43, 50\/19, 1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 1 - 1 - 3*a**2 + 2 - 2 + (a + 0*a - 3*a)*(-2*a + 5*a - 2*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 1. Suppose h*r = r + 12. Let f = r + -1. Solve f*y + 0 = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 3. Let y(p) = -8691 + p + 8691. What is y(o(c))?\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 794118 + -0.1039.\nAnswer: 794117.8961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 - 751 - 163 = -88*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(63)\/(sqrt(108)\/sqrt(3))*-5 + (-1 + 3 + 2*sqrt(112))**2 + -2.\nAnswer: 59*sqrt(7)\/2 + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - d = -6*d + 4, -4 = -2*d. Let n be o + 0\/(4\/2). Let m = n + 3. Solve -5*j - 25 = 5*f, m*f - 3*f = -3*j - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 3218898. Let u(z) = 2*z. Calculate u(s(i)).\nAnswer: 12*i - 6437796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 1. Let p = 17 - n. What is the second derivative of -8*h + h + p*h**3 + h**3 wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1334660882 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 723*i**2 + 86946*i + 4966. What is u(-828)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = -32. Suppose 12 - 25 = -4*l - 5. Solve -z + t = 2*z - 4*w, w + l = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -43*s**8\/56 - s**6\/30 + s**4\/6 + 31*s**3\/6 - 146*s. Find the third derivative of n(u) wrt u.\nAnswer: -5160*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 4) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019326847 rounded to 7 dps?\nAnswer: 0.0019327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32322*w + 2*i = -32320*w - 6, -5*w + 2*i + 21 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 9*z - 8. Let v(g) = g**2 + 4*g + 4. What is 9*v(a) + 4*y(a)?\nAnswer: -3*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -5, 0.04, -5042, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from dllqdtltttttdtdttt.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5644588, -5644590, -5644592, -5644594, -5644596, -5644598?\n\"Answer: -2*x - 5644586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*i = -190, 16*t + 744 = 20*t + 4*i. Which is bigger: t or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(324)*1 - sqrt(324)) + sqrt(324))\/sqrt(9))\/(-6*(sqrt(48) + sqrt(3)) - sqrt(3)))**2.\nAnswer: 12\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -232, 56, 6, 12, 5.\nAnswer: -232, -4, -3, 5, 6, 12, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 823, 827, 831, 835, 839?\n\"Answer: 4*x + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 914 = 4*q, 5*m - 44 = -19. Calculate the highest common divisor of q and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Let c be (-29)\/9 + (-6)\/(-27). Let f = c - -4. What is the third smallest value in p, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 4:14 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k + d - 91, 2*k + 172 = 4*d. Let t(i) = -4*i**2 - 23*i + 25. Let w be t(-8). Let f = k - w. What is f rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 19*p = 11*p. Let h(g) be the second derivative of 0*g**2 - g - 1\/4*g**4 + 0*g**3 - 1\/20*g**5 + p. What is the third derivative of h(z) wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 24*b - 20. Let n be (-60)\/(-4)*(b + 20\/(-12)). Let q = -2 + 3. What is the highest common divisor of q and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 591164*n**2\/5 - 760243*n\/5 + 45.\nAnswer: (7*n - 9)*(84452*n - 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -30*z + 73. Let v be d(2). What is the biggest value in v, -3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215980*l**4 - l**2 - 982*l + 7674?\nAnswer: -2591760*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 45. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -62. Let d(w) = -w**3 - 2*w**2 + 5*w - 8. Calculate the remainder when 166 is divided by d(z).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + -2 + -1 + sqrt(13))*-6.\nAnswer: -144 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r + 1. Let j(h) = -108*h - 4. Give 2*j(m) + 11*s(m).\nAnswer: 26*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4959 is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-6))\/((-2)\/6). Suppose 0*y = y + k. Let c = -344 + 345. Put y, c, -1, -2 in descending order.\nAnswer: c, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*s - 54 - 174, 0 = -2*f - 4*s + 224. Let w be 6\/(f\/4) - 2\/10. Suppose w = -3*a - 2*h + 1475, -a + 553 = -5*h + 67. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17654 and 99813?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17268, -34538, -51808, -69078?\nAnswer: -86348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b - 186?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + a - 1. Let v(m) = 3*m**3 + 13*m**2 + 4*m + 54. What is -4*k(w) + v(w)?\nAnswer: 3*w**3 + 5*w**2 + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o + 1. Let i(f) = -39*f**3 + f**2 - 5*f - 6. Let j(g) = i(g) - s(g). Let r be j(3). Round r to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**3 - 15*s**2 + 19*s - 1. Let l(n) = -4*n**3 + 8*n**2 - 10*n. Let b(j) = -3*h(j) - 5*l(j). Let b(f) = 0. What is f?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13593998?\nAnswer: 2, 11, 47, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m + 6. Let l = -16 + 10. Let q be w(l). What is the highest common factor of 24 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31733021.46 to the nearest one hundred thousand.\nAnswer: -31700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 4136*k - 37145. Let f be w(-9). Let m = 0.6 + -0.1. Sort -1, m, 3, f.\nAnswer: f, -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g - 745 = -771 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 610166 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -47. Solve -2 - 4 = -t*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2. Let a(g) = 5252*g + 3. Let v(k) = -45813202*k - 26170. Let l(s) = -26170*a(s) - 3*v(s). Determine p(l(z)).\nAnswer: 27394756*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 127, 196?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*z**2 - 5*z**3 - 292*z**2.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 896 + 896 - 8*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-4\/5)\/k)*((k*k**19)\/k)\/k)**(-3\/2) assuming k is positive.\nAnswer: k**(-327\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2014*l = 2026*l - 180192. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2))\/o)\/((o*o**(-1)*o)\/o*o)*o**10*o*o**7)**(1\/33) assuming o is positive.\nAnswer: o**(19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*p - 85*p - 50*p - 83*p in the form s*p + j and give s.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/11 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193*i**5 + 177*i**5 + 5*i**2 + 16*i**2 wrt i?\nAnswer: -960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 42 = 4*l. Let n = l - 20. Find the common denominator of n and ((-322)\/(-36))\/1 - (-9)\/234*-13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, -2, -3 in descending order.\nAnswer: 156, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*j + 516*j - 1026*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v - 215 - 222 + 6*v + 660 - 221.\nAnswer: 40*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -408.8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.9151 and 0.0597976.\nAnswer: 5.9748976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiry when four letters picked without replacement from llrrlllryyiellyr?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -51*p - 5*m + 359, 3*m + 152 = p. Which is the nearest to 0.1? (a) -2 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -88, -5, -52, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.16 + -7.1. Let k = -0.06 + w. Which is the nearest to k? (a) 1\/10 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 33*x - 126 = 0. Solve -z - x*i - 12 + 0 = 0, -3*i - 3 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37532\/3*j**2 + 25576*j - 2\/3*j**4 - 184*j**3 - 38642\/3.\nAnswer: -2*(j - 1)**2*(j + 139)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462753931 to the power of 1\/2, to the nearest integer?\nAnswer: 49626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8657 + -8629. Let u = 1.7 - 2. Are u and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.028 - -55.972. Let g = -59 + w. Suppose 0 = -5*k + d, 2*k = -d + 8 - 1. Which is the second biggest value? (a) k (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouo when three letters picked without replacement from ooou?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -2.2. Let b = 0.5 - s. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 2. Let t(f) = -3*f + 2*f - 8 + 2*f - 2*f. Let h be t(y). Solve h = -2*a - a - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 208 = z, 14*z - k = 18*z - 822. Let c = -206 + z. Solve c + 3\/4*r + 3\/4*r**2 = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 133824?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 + 201 + (8 + -2 - -1) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(147))*-1 + (sqrt(147) + -1 + -2 - sqrt(147)) + 1 + sqrt(147) + sqrt(147)*-4*3)*3)**2.\nAnswer: 3024*sqrt(3) + 190548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/19 - 4716*o**2\/19 - 386880*o\/19 - 7801600\/19 = 0.\nAnswer: -40, 2438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6)\/d*d*d)\/d**6)\/(d\/(d\/d**(2\/7)))**43 assuming d is positive.\nAnswer: d**(-733\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*1\/35)\/(-6*(-15)\/(-100))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1110000010101001100 (base 2) to base 16\nAnswer: -7054c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**42\/(c*c\/c**(-8)*c**(-1\/3)) assuming c is positive.\nAnswer: c**(-155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 112391 + -4\nAnswer: 112387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31046 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66) + sqrt(66)*-2) + -1*sqrt(66)*4)\/(sqrt(486) - ((sqrt(486)*-3 - sqrt(486))*-5 + sqrt(486)))*-2.\nAnswer: sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -17590*k - 9. Let h(u) = -2*u**2. What is n(h(s))?\nAnswer: 35180*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 63\/(-11 - -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.148 - 0.08618?\nAnswer: -301.23418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 186*b**2 + 2*b - 2. Suppose 6*x + 0*x - 6 = 0. Let u be g(x). What are the prime factors of u\/(-4)*12\/(-9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 1}. What is prob of picking 2 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Which is greater: w or -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 2*y + 0*y)*(-6*y - y + y) - 383 - 23*y**2 + 385 - 130*y**2 + (0 + 2 + 0)*(-3*y**2 + y**2 - y**2) in the form u + t*y**2 + p*y and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 3*d + 3*d + (d**2 + 0*d**2 - 2*d**2)*(15*d + 0*d - 5*d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19*d + 6. Let c(q) = 19*q - 5. Let y(f) = 6*c(f) + 5*n(f). Let m(h) = 2*h**2. Give y(m(v)).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 4, 1.3, -1\/7.\nAnswer: -0.22, -1\/7, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -131969, -263920, -395867, -527810, -659749?\n\"Answer: 2*i**2 - 131957*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*l = 120, 0*l = -2*j - 3*l - 80. Let b be (-3)\/(-4)*j\/(-75). Factor b*z**2 - 12\/5*z + 18\/5.\nAnswer: 2*(z - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13751*g**2*i - 4*g*i**2 - 9*i**2 + 931 wrt g.\nAnswer: -27502*g*i - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002611 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3000, -11996, -26986, -47970?\n\"Answer: -2997*g**2 - 5*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 1b18c?\nAnswer: -1b177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 11*c - 2. Let o be a(-5). Solve o*x + 4 = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s + 25. Let y be x(-7). What is the nearest to -1\/7 in -3, y, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14378610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/51)\/(24\/45)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 653399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -5, -6 in ascending order.\nAnswer: -6, -5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 88, -17.\nAnswer: -17, 1\/12, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(-5*(-196)\/630)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 5*c**2 + 7*c + 8*c)*(-c + 0 + 0) as s + r*c**2 + d*c + q*c**3 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4224364680 by 6.\nAnswer: -704060780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*i + 2810 = -511, 16581 = 5*l - i. List the prime factors of l.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681.3881 millennia to years.\nAnswer: 681388.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 371, 368, 351, 314, 251, 156, 23, -154?\n\"Answer: -k**3 - k**2 + 7*k + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*u + 44, 3*b + u = 6*u + 82. Suppose 4*s = s + 72. What is the highest common divisor of s and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddndddemzrreendd. What is prob of picking 1 r, 1 d, 1 n, and 1 z?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - -286562?\nAnswer: 286560.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 - 180. Let p = -2.5 - -2.2. Which is the closest to 2? (a) l (b) -7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427\/65 + -29\/13. Do y and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 34762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab (base 12) to base 6.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23049620 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23661 and 280320?\nAnswer: 2210883840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -538, -809?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70*4\/112*-1)\/((-5)\/(-52)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.969 + 0.682. Let u = p - 0.013. Which is smaller: u or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**4\/5 - 745479*g**3 + 1417622856*g**2\/5 - 27036884556*g + 13447654320 = 0. What is g?\nAnswer: 1\/2, 190, 620852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 3. What are the prime factors of v(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*z, 0 = -4*w - 422*z + 424*z - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56797930 rounded to the nearest 10000?\nAnswer: 56800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.78 - 1.38. Let x = a + 0.78. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.55 + 3.75. Let d = -5 - -5.3. Which is the smallest value? (a) 1\/12 (b) m (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13240\/5353 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*o**3 - 2029*o**3 - 1486*o**3 + (-4*o**2 + 2*o**2 + o**2)*(o + 1 - 1).\nAnswer: -3457*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*x**3 - 69*s**3*x - 3*s**2 - 7*s*x**3 + 1 wrt s?\nAnswer: -12*x**3 - 414*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/(-70))\/(-8))\/(2\/5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 3*v**3 + 213 + 212 - 2*v**4 - 428 in the form u + d*v + g*v**4 + a*v**2 + p*v**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2246 - -2254. Solve 3*b - 19 = -r*l + 4*l, -l + 1 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00541 rounded to four decimal places?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from ussssusss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 221*d**2. Let v(r) = 4*r. What is v(j(m))?\nAnswer: 884*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -736 < -165302\/225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19*c**2 - 10*c - 5. Let k(b) = 29*b**2 - 15*b - 8. Let t(v) = 8*i(v) - 5*k(v). What is the second derivative of t(z) wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6182470 rounded to the nearest ten thousand?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjii when four letters picked without replacement from immivjmivjivmvi?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -43, -10776 in increasing order.\nAnswer: -10776, -43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 793367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2853, -3007, -3155, -3297?\n\"Answer: 3*k**2 - 163*k - 2693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -10. Let p be (-2)\/6 + -4 + (-95)\/(-15). Solve 8 = -m + 5*g, p*g - s*g = -3*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000145751 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -3. Let u(d) = 2*d - 5. Let c be u(3). What is the second smallest value in 4, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 179431100 and 810334.\nAnswer: 1256017700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/404?\nAnswer: -5\/404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 22*o**2 - 22*o - 21. Let v be s(23). Sort v, -2, -3 in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32527, 32538, 32557, 32584?\nAnswer: 32619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grygyrkgjjgyygyrjijy. What is prob of sequence ggyg?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 19*x**5\/60 - 7*x**4\/24 + x**3\/2 + 3*x. Let w(j) be the second derivative of v(j). Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -199*w**6\/20 + 163*w**5\/6 - 1177*w**2 + 2. Find the third derivative of l(o) wrt o.\nAnswer: -7164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 9, j: 1, g: 6, q: 1}. What is prob of sequence qc?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 14 = l + 7, -5*l = -3*t + 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/4 + 17811*c**2\/4 + 10046748*c.\nAnswer: -3*c*(c - 7681)*(c + 1744)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (571 + 14 + -18))*(-1 - (-16)\/20)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9380468*s**2 - 390465*s + 14?\nAnswer: -18760936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**5\/b)*b*b**(2\/33)*b*b\/(b\/((b*b**(-8\/7)*b)\/b))*b*b**(1\/3)*b*b assuming b is positive.\nAnswer: b**(520\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 43. Suppose -g + f = 2*s - 0*g, 125 = 5*s - g. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -419, -114, 1, 0, -105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013 + 1?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 2*q - 3*q + (3 - 1 + 0)*(0*q - 2*q + q) + 2*q + 3*q - 4*q to i + t*q and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000491734835 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/11 + 249108*t**3\/11 - 7755354664*t**2\/11 - 93091410516*t\/11 - 271542046230\/11 = 0 for t.\nAnswer: -7, -5, 62283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6652775257 to the nearest integer?\nAnswer: 81565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = n, 2*n - 26 = -n + 4*q. Let v be 1\/4 + (-243)\/(-36). Suppose 4*w - v - 25 = 0. What is the smallest common multiple of w and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -29204974.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 2172 = -4*l, -4*k + 2*l = -2190. Suppose k = 14*j - 11*j. Suppose 9*u - 2*u = j. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69751\/30 - 2326. Calculate the common denominator of f and -61\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -949 + 973. What is the remainder when 476 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Suppose x = b - 3, 2*b + 0*b + 5*x = -1. Suppose b*u - 5*u = 105. Let h(m) = -50*m. Let d(c) = 3*c. Let q(y) = u*d(y) - 2*h(y). Give w(q(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d - 2. Let t be x(-2). Let h = -49 + 35. What is the remainder when 22 is divided by t\/(-7)*h\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*x + 0 + 1 - 2*x - x + x + (-4*x + 8*x + 3*x)*(1 + 19 + 4) + (0*x + x + 2*x)*(0 + 2 - 1) to t*x + q and give t.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2.024342\nAnswer: -2.024342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j*l*q - 7*j*l + 495*j*q - 2*j + 198*l*q - q - 146 with respect to j.\nAnswer: 5*l*q - 7*l + 495*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 11*v - 2 = -y, y - 4*v = 4. Suppose y = -6*h + 107 - 17. Solve 0*f = -3*f - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 13*b + 8. Let s be w(7). Suppose s + 14 = 5*x. Factor 5\/8*p + 1\/4 - 1\/8*p**x + 3\/8*p**2 - 1\/8*p**4.\nAnswer: -(p - 2)*(p + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3992593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -19. Let z = 0.9 + -0.91. Let r = z - -0.11. What is the smallest value in g, -2\/3, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1867794 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*h - 148 = 2*y, 2*y - 4*h + 64 = 0. Let n = 100 + y. What is the greatest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17619 and 7110525.\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1338*a**2 - 2*a + 131. Is l(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 4*u**2 + 3*u - 2. Let b be h(-5). Solve -b = -5*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -44155?\nAnswer: 44200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 - 133 - (-3 + 1 - 3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 11:09 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5793.08429 rounded to zero dps?\nAnswer: -5793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4219 - -25217\/6. Let v = -1464 - -3146. Let i = -40351\/24 + v. Find the common denominator of i and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-1\/51)*q**(-2\/7) assuming q is positive.\nAnswer: q**(262\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -5 (c) 1838 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 477, 714, 935, 1134, 1305, 1442?\nAnswer: 1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 4*s**2 + 3 + 2*s**2. Let c(k) = -1. Let b(t) = -9*t**2 + 9. Let u(l) = -b(l) - 2*c(l). Determine -7*p(w) - 3*u(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 23618655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 4*x - 3. Let j(b) = -b**2 - 3*b - 2. Suppose 3*k = 2*m - 21, -k + 0*k - 17 = -4*m. Determine k*z(n) + 7*j(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 907206*l**5 - 13*l**2 - 9639*l - 1 wrt l.\nAnswer: 54432360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.75985 + -8.72. Let x = f - 0.04. What is x rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:42 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1487 and -10530.\nAnswer: 1565.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -696982306.\nAnswer: -696982303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 517139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 - 98992?\nAnswer: -98228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - (sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70)*-4 - sqrt(70))) + sqrt(70)))*1))\/(sqrt(10) + sqrt(160)\/sqrt(4)).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from {q: 6, c: 2, t: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1256 + 118?\nAnswer: -1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a second in milliseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**33\/(f**(3\/16)\/f))\/(f*f**(-7\/4))**45)**(-1\/24) assuming f is positive.\nAnswer: f**(-1081\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 68.\nAnswer: 40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 88, 105, 138, 193, 276, 393, 550?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttjj when four letters picked without replacement from jttjttt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.007 at most -4.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6657370 divided by -7\nAnswer: -6657370\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.256 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18930.8 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 0 - (-10 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10505 and 50545.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - c**4\/12 - c**3\/6 + 2*c**2 - 2*c. Suppose 0 = -5*j + 4*j. What are the prime factors of n(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2959 + -65073\/22. Let f be 28\/(-161)*(-1)\/(-23). Let q = f + -27957\/10580. What is the common denominator of q and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p - 5*g = -16, g - 2 = 0. Put -44, -4, p in descending order.\nAnswer: p, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 22*z**2 + 320*z - 7. Give m(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*a**2 - 169432*a - 8068 = 0.\nAnswer: -2017, -1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*c**2 + 213?\nAnswer: 160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104904502093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let n be i(0). Let g(w) = 2*w - 9. Let z be g(7). Suppose -3 = 6*y - z*y. Put -1, n, y in descending order.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:34 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeni when four letters picked without replacement from {i: 7, e: 2, y: 4, x: 2, n: 1}?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -197 - 7c2?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -27. Let g be (-2)\/(-7) - 115\/d. Let t be (16\/g)\/((-6)\/18). Solve 2 - t = 2*w - 4*f, -2*w - 4*f = -26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458727323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/36 and -58\/3957?\nAnswer: 47484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 116670?\nAnswer: 1866720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {c: 2, j: 3, g: 4, x: 1, w: 1, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71981 + 35589 = -1052*c - 46335 + 20301 for c.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h**3 - 21*h + 10*h + 12*h - 34*h**3 + h**2 + 105 in the form y*h**2 + o*h**3 + g*h + c and give c.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2) - 2\/(-4) - 2. Suppose n = 7*m - 9*m - 8. Is (131*(-1)\/m)\/(1\/4) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 37 + k**2 + 7*k + 12 + 18*k. Let p be h(-23). Solve 3*v - 3*l - 18 = -0*l, 4*v - p*l - 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-792)\/660*((-925)\/(-44))\/(-5) and 21\/1504?\nAnswer: 16544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-2*6)\/(2*(sqrt(3) - 6*sqrt(12)\/sqrt(4))).\nAnswer: 12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002150 divided by 230?\nAnswer: -8705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 639527 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67097, -268377, -603843, -1073495, -1677333, -2415357?\nAnswer: -3287567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:06 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)*2*2 + sqrt(396) + (sqrt(396) - 1*sqrt(396)))*-1)\/(2*((sqrt(484)*-2 - sqrt(484)) + sqrt(484))*4).\nAnswer: 7*sqrt(11)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -11 + 0\/(1 + -2). What is the third smallest value in -1, h, 2\/15, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 265. Let w be l(-45). Let x be 795*((-38)\/w + 8). Which is bigger: x or 317?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3292 and -0.2?\nAnswer: 0.5292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*w - 61 - 35 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 199451637 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 2*t - 12*t - 5*t - 87 + 21*t**2.\nAnswer: -2*t**3 + 21*t**2 - 15*t - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**5 + 199235909*b**2 - 252124603*b.\nAnswer: -40*b**3 + 398471818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -2*s = h + 5, -5*h = 3*s - u - 8. Let p = 16 - 9. What is the remainder when p is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -359*k + 219536. What is v(610)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + a - 1. Let t be d(4). Let v = -40 - t. Suppose -w = -v*w - w. Is w != -4\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2112 - 12305222?\nAnswer: -12303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238 + 238. Suppose p = 2*h - 34 + 28. Calculate the smallest common multiple of 32 and h.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -300*r + 305*r. Let m(d) = d**3 + 12*d**2 - 13*d - 9. What is m(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + 0.6. Let m be -3 + -24*(-12)\/99. Let t = 0.1 + -0.3. What is the nearest to l in t, 1\/2, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4322\/23 - 188. Let n = 2 - -2. Which is the second biggest value? (a) n (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 9*h**2 + 79*h - 577. Determine r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s + 10. Let k(u) = 7*u + 9. Let p(o) = -5*k(o) + 4*m(o). Let n be p(-3). Let r = 5 + n. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5 - 8*s**4 - 17*s**3 + 2*s**2 + 24*s = 0.\nAnswer: -4, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.08 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(6) + sqrt(96)) + sqrt(19)*-2 + 0)**2.\nAnswer: 1539\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13906?\nAnswer: 2, 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (4*(1 + sqrt(208)) + sqrt(208))) + (sqrt(208) - ((sqrt(208) + -2)*2 - sqrt(208))))**2 + sqrt(52)\/(4*-2*sqrt(4)) + -1.\nAnswer: -sqrt(13)\/8 + 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(448))**2 + sqrt(7) + (sqrt(7) - (sqrt(448)*4 - sqrt(448))).\nAnswer: -22*sqrt(7) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 + -14)\/126)\/(2*(-15)\/70)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let v(r) be the first derivative of 11*r**2\/2 + 17. Determine v(q(s)).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9464 and 83253625.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 6. What is the least common multiple of c(-6) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.45*239.\nAnswer: -4409.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5104352 (base 10) to base 12.\nAnswer: 1861aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*q + 50, -27 - 10 = -3*q - 2*u. Let h(x) = x + 18. Let m be h(0). What is the highest common divisor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1653 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(12\/3 - (-160)\/(-48))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 489. Suppose -2*u + 5*c + 13 = 0, -5*u + 5*c + 13 = 3. Is 1\/(((-3)\/b)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n + 1. Let w(s) = -7. What is 6*t(a) + w(a)?\nAnswer: -90*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340253 (base 8) in base 11?\nAnswer: 3a7223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 21 = a + 4*z, z - 6*z - 1021 + 998 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215064*r**2 + 107538*r**2 + 107541*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 72*a.\nAnswer: -4*a*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001037529082 rounded to 7 decimal places?\nAnswer: -0.0010375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 366 - 5010?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a hour in seconds?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:34 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*u - 434*u + 194*u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12442, 12437, 12422, 12391, 12338, 12257, 12142?\nAnswer: 11987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 21519*l + 18027*l - 8 in the form f + x*l and give x.\nAnswer: -3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 120 = -19*c + 17*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 3*x - 59, -x - o = -33. Suppose -2*y = 2*w - 10, -3*y + 8*y - 11 = 2*w. Let v be (0 + 3)*7\/y. What is the highest common factor of v and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3301722.\nAnswer: 2, 3, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 18 - -2) + -38 + 44\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*r + 9396 = -594*r for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45307.73ml to litres.\nAnswer: 45.30773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 129 - 24. Let g be 2*w\/2*-1. Let y be (12\/(-7))\/((-3)\/g). Solve 3*j = h + y, -4*h - 5*j + 10*j - 27 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.8 rounded to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y - 173. Let d be p(19). What is the remainder when 93 is divided by (-12)\/66 + (-356)\/(-22) + d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvvmvkvovvvkzjjomj. What is prob of sequence zvo?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1013008 - s + 1013008. Let d(l) = 121*l. What is d(b(f))?\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 - 2*c - 1. Calculate g(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340 take away 15?\nAnswer: -3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005530744744 rounded to five decimal places?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1255, 3, 2?\nAnswer: -1255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -3\/2, 11, -4, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-8 + -1 + 1). Let g(a) = 2*a - 1. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}