diff --git "a/data/dm_maths/full_data/1295_11255.jsonl" "b/data/dm_maths/full_data/1295_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1295_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 3865491?\nAnswer: 3, 7, 61357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -26 - (-37 + -45 + 48)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108012*7235.\nAnswer: 781466820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.91 and 0.2.\nAnswer: -0.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*d = 9, 5*j - 71*d + 50 = -77*d for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 17*w - 46. Let l be y(4). What is the remainder when 87 is divided by 0 + (-4 - (-156)\/l)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 35\/(-3))*-5*69\/230.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141172.\nAnswer: 2, 29, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose j = 4*f + f - 5. Let w = 1 - f. Solve w*g = 2*g + 5*i + 1, 0 = g + i + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -352, -1, -40, 5, -5 in ascending order.\nAnswer: -352, -40, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -211 + 261.5. Let c = -52 + f. Let l = c + 2.5. Which is smaller: -8\/5 or l?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Suppose -8*u = -5*u + 4*h + 13, 2*h = 4. Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-2)\/(-84)). Suppose 0 = -0*w + 3*w - v - 8, -4*w + 4*v = -24. Is w\/2 + y\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 296. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -406\/61?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009203731914 rounded to 5 dps?\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 3. Let b = l - -8. Suppose -4*f + 2320015 = b*m, -3*f + 5*m = -0*m - 1739975. What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqllqfqqqf. Give prob of sequence llfq.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28220 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1393, 0.127, 2\/107, 0.3?\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*z**4 - 4 + 119*z**4 - 348*z**4 + 8*z**3 + 115*z**4 - 2*z in the form g*z + r + q*z**2 + h*z**3 + j*z**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19302 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10537 + 27?\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -77645 divided by -22\nAnswer: 77645\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -30*q. Let s(b) = -7068769*b. Give s(w(j)).\nAnswer: 212063070*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from vvfvvvjjvjj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3\/6 - 46045*v**2\/6 - 23415920*v - 23693078400.\nAnswer: -5*(v + 2832)**2*(v + 3545)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3. Let q = -39 + 13. Let i = q + 28. Suppose -s = 6 + i. Let z(o) = o - 8. What is s*g(a) + 3*z(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*u + 6, -v + 6*u - 8 = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 50?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 3*w**2 - 6*w + 7. Let j be h(3). Let a = -30 - -50. Let m = a + j. Solve 0 = -m*b + 4*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + 2\/(-4). Suppose m = 3*z - 5*g - 231, 4*z = 6*z + g - 154. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57730 is divided by 199.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**2*d*r - 798*c**2*d - 30*c**2*r + c**2 + 3*d*r**2 wrt r.\nAnswer: -10*c**2*d - 30*c**2 + 6*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*c = 18 + 16, d = c + 23. Let u = -15 + 20. Suppose -u*n + 113 = -507. Calculate the remainder when n is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t = 65*t + 126. Let l be -21*(-4)\/(-18) + t\/21. Put 21, l, -3 in ascending order.\nAnswer: l, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/5, 6, -416, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 72150?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = -0*s. Let r be (2\/(-6))\/(s*(-7)\/(-420)). Let h(g) = 2*g - 7. Let p be h(6). What is the nearest to 16\/7 in r, p, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 404\/(-10) - 12\/(-30). What is the units digit of 6\/(-4)*g\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71023*w**3 + 48598 + 0*w + 0*w - 48598.\nAnswer: 71023*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-2230)\/25)\/1)\/(8\/(-20)) is divided by 82?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -628.7 - -629. What is the smallest value in -3\/2, 3, x, -3\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2358*w - 5943*w = 18310*w - 1605420 - 1747566 for w.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 5. Let w(i) = -i**2 - 1. Let d = -9 + 8. Let f(p) = d*g(p) + 4*w(p). Give f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6851*h**2 - 91*h - 168. What is the ten thousands digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215384 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 68, 47, 8, -55, -148?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 10*c - 9. Let m be b(-11). Let p = -17 - m. Find the third derivative of 3*w**2 + 3*w**5 - 92*w**p + 92*w**3 + 0*w**2 wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k + 5*k**2 - 6*k**2 + 11 + 0*k. Let y be o(8). Put 5, y, -3, 2 in descending order.\nAnswer: 5, 2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**5 - 7*v**4 - 5079*v**2 + 5079*v**2 + 22*v wrt v.\nAnswer: -20*v**3 - 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 8*y + 1. Calculate j(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7042455 + 2*f**3 - 7042455.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 36*t**2 - 67*t - 28. Let x be j(34). Suppose 2499 - 87 = x*c. What are the prime factors of c?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:42 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/55*((-46)\/(-69))\/(204\/(-69003)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6129*i + 61250. What is s(-10)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -35, -46, -57, -68?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1508288690.29999843 + 1508288705. Let r = -4.17 - 10.53. Let a = r + q. Round a to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613563 is divided by 476?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m*m**(2\/7))\/m)\/(m*(m**(-3\/5)\/m)\/m))\/(m**(-1\/3))**(-30) assuming m is positive.\nAnswer: m**(-214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 8*x**2 - 10*x. Let v(y) = -2*y**3 + 16*y**2 - 19*y + 1. Let l(n) = -5*r(n) + 3*v(n). Let j = 5 - -2. Let o be l(j). Solve o*h - 8 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14077.58ug to milligrams.\nAnswer: 14.07758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 2, h: 5}. What is prob of sequence zztt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4035, -19450, -46247, -84426, -133987, -194930, -267255?\n\"Answer: -5691*g**2 + 1658*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292545.63 minutes to hours.\nAnswer: 4875.7605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c - 1. Let a = 31 + -25. Suppose 0 = a*i - 5 - 7. Suppose -f + 0*q = i*q + 3, -4*q - 11 = -3*f. Calculate p(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 30 = 2*v, -2*g + v - 11 = 19. Let k = g + 38. What is the smallest common multiple of ((-9)\/(-3))\/(3\/(-77)*-7) and k?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 6*q + 4. Let g be c(6). Let u be (27 - 26)\/((-1)\/(-1115)). Suppose -u = g*r - 9*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 708 and 78871672?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7110940 and 101\/40?\nAnswer: 14221880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -9 + 2. Let o(w) = w**2 + 3*w + 3. Let b be 273\/49 - ((-31)\/7 - -5). Let x(d) = d**2 + 4*d + 5. Determine b*x(n) + s*o(n).\nAnswer: -2*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2498619, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 2\/7 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 - -0.34. Let v = 0.7 - q. What is v rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by 6.\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 761055969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475652315.\nAnswer: 3, 5, 37, 2658833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:02 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 14) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 1 e when three letters picked without replacement from ewgggwwwiigwiiggiii?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:18 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 23 = -0*m + 4*r, -4*m - 5*r = 103. Let p = -21 - m. Let w(q) = p + 25*q**2 - 6. Let g(v) = -v. Determine w(g(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2765.135007 rounded to the nearest 10?\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 4. Let v be m(1). Let d = 16\/349 - -6068\/19893. Is d at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b*x**2 + 13*b + 86*x + 8 wrt x?\nAnswer: -12*b*x + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1747 or 0?\nAnswer: -2\/1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 92.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 times -1?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4, 6, 18, 46, 96, 174, 286?\n\"Answer: q**3 - q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 9*b - 126. Let w(f) = 148*f. Calculate z(w(l)).\nAnswer: 1332*l - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, -3, -94, 6 in decreasing order.\nAnswer: 6, 1, 0, -3, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 6)\/((-2)\/(-22)). Let w = q - 51. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31947582 to the nearest integer?\nAnswer: 5652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 61. Calculate the least common multiple of 49 and d(51).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {p: 1, f: 1, g: 3, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose -g + 7 = 2*q, q + 3*g - r = -2*q. Let w be (-86)\/(-7) - q\/21. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2*4\/16*4. Let k(p) = -11349*p**3 - 3*p**2 + 2*p. Let l be k(t). What is l rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6667*q + 19962*q - 6625*q - 6666*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137 (base 11) to base 7.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 18.3.\nAnswer: 0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhw. What is prob of picking 1 w and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**4 + t**3 + t. Let o(v) = -4*v**6 + 6*v**4 + 6*v**3 + 4*v**2 + 14*v. Let z(y) = -o(y) + 3*w(y). Find the third derivative of z(c) wrt c.\nAnswer: 480*c**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -6. List the prime factors of (3950\/c + (-5)\/(-4))*1.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2 - 2*m - 8 + 14 - 9 + m. Let k(d) = -1 - 3 - d + 0*d. What is -6*a(x) + 7*k(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/8 + (-6)\/(-8). Suppose b = 5*q + 2*m, -2*q + m + 9 = 4*m. Solve 4 = -q*i - 2*i - c, 4*i - 3*c = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202695 is divided by 821?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2417327*0.4.\nAnswer: 966930.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 1529 - 391 = 0. Suppose j = -3*o + 1452. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 3*j - 3. Suppose -5*l - 7 = 3. Let m(i) = i**2 - 2*i - 2. Calculate l*n(y) + 3*m(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 11:02 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 51*d**2 + 5*d - 18*d**2 - d.\nAnswer: 33*d**2 + 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 11, 13, 4, 11.9, -3, -4 in ascending order.\nAnswer: -4, -3, 2\/9, 4, 11, 11.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 4*u - 2\/3*u**3 - 2*u**2 + 3 + 1\/4*u**4. Calculate v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let w be 2\/(-3) + (-1)\/p. What is the remainder when (-2)\/(w*3\/39) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10475010.\nAnswer: 2, 3, 5, 7, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.07174 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 273*w - 326510. Give o(1196).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4)*2)\/1. Let y be 16\/(-6)*3*w. Let c = y + 43. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at most as big as 4825\/246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286275646 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3) - 2\/4. What is the second smallest value in -1\/6, -8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.02621.\nAnswer: 0.002621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4. Let p(r) = -3*r - 46. Let l be p(-16). Do o and l have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.20272 + 0.09728. Let p = 9 + -13. Which is the nearest to p? (a) d (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 13*i + 1. Let h be (6\/10)\/(2\/30). Is f(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196257567 + -196257690.898993. Let s = 123.9 + j. Round s to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3425 + 9578. List the prime factors of b.\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-60))\/(-5*14\/315 - (-175)\/585)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z**2 + 40*z - 526. Let o(p) = 5*p**2 + 15*p - 175. Let g(x) = -3*i(x) + 8*o(x). Let m(b) = 3*b. Determine m(g(n)).\nAnswer: -6*n**2 + 534","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -55687 (base 9) in base 3?\nAnswer: -1212202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.478674740039 + -0.3.\nAnswer: 0.178674740039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.905 - -0.095. Let l = t - 86.3. Which is the second biggest value? (a) l (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5195, 3081, -439, -5359, -11673, -19375, -28459, -38919?\n\"Answer: d**3 - 709*d**2 + 6*d + 5897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**6\/30 + c**4\/3 - 45*c**2\/2 - 13*c + 1. Differentiate w(v) wrt v.\nAnswer: -4*v**3 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**3 + 2*k**2 - 5. Let u(w) = 7 - 8*w**3 + 7*w**3 - 6. Let c = 1 + 0. Determine c*x(o) + 4*u(o).\nAnswer: 2*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-965 + 966 + 7*o + o**2 + 9*o)*(-3*o**3 + 0*o**2 + 0*o**2).\nAnswer: -3*o**5 - 48*o**4 - 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -360.0880197 + 360.09. Round x to 5 decimal places.\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 - 17 = 12*x. Suppose 16*u - 5*p = x*u + 1396, -p + 5689 = 4*u. List the prime factors of u.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/12 - t**3\/3 + 3*t**2\/2 + 2*t. Let r(y) be the first derivative of f(y). What is the derivative of r(a) wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*x = -10, 3*x + 12 = 2*z + x. Suppose 376 - 130 = z*p - 2*s, p - 75 = 5*s. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 - 92705*n**2 + 29970010*n - 205249240 = 0 for n.\nAnswer: 7, 322, 18212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1166 + 1168. Let h be 1 + 1 + 2*1. Solve 0*a = x*a - h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 260*g**3 - 4590*g**2 + 28900*g - 24565.\nAnswer: -5*(g - 17)**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**3 - 2*x**2 - 6*x + 6. Let r(h) = 19*h**3 + 3*h**2 + 10*h - 9. Let m(k) = 8*g(k) + 5*r(k). Let f = -2 - 0. Is m(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.006345820648499 and 0.\nAnswer: -0.006345820648499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**5\/7 + 321*b**4\/7 - 237*b**3 - 5475*b**2\/7 - 4719*b\/7 - 174 = 0. Calculate b.\nAnswer: -58, -1, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 9:13 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*-309138.\nAnswer: 9892416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -78, -4\/9.\nAnswer: -78, -4\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*x + 8*x + 17*x as k + j*x and give j.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 846068 and 53836?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 5*c - 84. Let p be x(7). Suppose p = -10*w + 1552 + 2538. List the prime factors of w.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34629.02 litres to millilitres.\nAnswer: 34629020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 6*3\/(-2). Suppose -i - z*i + 7 = 0. What is the nearest to 0.2 in 4, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 442*x**2 + 597*x - 1808. Give z(146).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 1 + 10*l**3 + 2*l - 2*l**3 + l**2 - 9*l to q + i*l**2 + f*l**3 + r*l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.089 + 0.911. What is the nearest to l in -51, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 10, 5*b = -x + 2*b - 20. Let k(u) = 2*u**2 - 3. Let r be k(2). Let d = r + x. Solve -f - 5*y + 15 = d, 4*y - 1 = -4*f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.792095 times -0.1?\nAnswer: -22.1792095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 42*g + 194. What is n(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.104 + 0.104. Let d be (-2)\/(-4) - (-203)\/14. Suppose 7 - d = -2*p. Which is the biggest value? (a) p (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9896 + 15923. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 20. Let j be (c\/(-12))\/(2\/12). Solve w - 3*d + 11 = -0*w, j*w - d = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1336 = -4*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1238, 3180?\nAnswer: -1238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2043 divided by -27179.\nAnswer: -2043\/27179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 4. Suppose 3*u + 0*u - 60 = 0. Suppose -2*i + u = 3*i, -4*i + 24 = 2*x. What are the prime factors of d(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q + 1. Let j(s) = -5*s. Determine 2*j(w) - 3*x(w).\nAnswer: 8*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1131 at least as big as 1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-6)\/(-5))*(-5655)\/2925 - (9 - 3).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152363 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 6*c - 6*c)*(163*c**2 + 123*c**2 + 443*c**2).\nAnswer: -729*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 8*z - 44 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63733*f - 28487?\nAnswer: -63733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 450867682 by 19.\nAnswer: 23729878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/21 and -137\/204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5540, -11089, -16624, -22139, -27628, -33085, -38504, -43879?\n\"Answer: c**3 + c**2 - 5559*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -3\/62, -4, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 n when three letters picked without replacement from {f: 1, n: 1, b: 2, k: 1, p: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -70. Let j = 72 + x. Calculate the smallest common multiple of j and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/116014016 and 27\/20.\nAnswer: 580070080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 31*c**2 + 2*c + 3. Let n(m) = -3*m**3 - 17*m**2 + 5*m - 7. Let k be n(-6). What is t(k)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/39 + (-3045)\/(-65). Suppose 4*s + 2*n = 95 + r, 0 = -s + 3*n + 25. What is the remainder when s is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 3486?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010858563 to five decimal places.\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 2*m - 2 - 17*m**2 - 3*m + 7*m**2 + 6*m as h*m + w*m**2 + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*o + 67. Suppose -2*p + 9 = -p. What is the greatest common factor of p and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -5, 5, -2 in ascending order.\nAnswer: -5, -2, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 32. Let m = 4277 - 4267. Give x(m).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**5 + 2*a**5 - 3*a**5 + (1 - 5 + 3)*(3*a**5 - a**5 - 4*a**5) + (3*a - 1 + 1)*(6*a - 3*a**2 - 6*a)*(-a**2 - 3 + 3).\nAnswer: 19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6576.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**6 + 488*g**4*u - 2*g**3*n*u + 2*g**2*n*u - g**2 + 26*g*u wrt g.\nAnswer: 360*g**3 + 11712*g*u - 12*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 6, -19, -68, -147, -262?\n\"Answer: -l**3 - 3*l**2 + 9*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75460 and 2905210.\nAnswer: 5810420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 204. Give b(29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2408414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-28))\/(-15)*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46205\/7 + 6601. Factor -2\/7 - h*x**2 - 4\/7*x.\nAnswer: -2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 2, -10, 1\/8, 11\/7, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*i**3 - 85.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.663 * -0.4\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(3500) + (sqrt(3500)*1 - sqrt(3500) - sqrt(3500)))\/(sqrt(42)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82550 = 10748*r - 12399*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -133, -1\/3, 1\/6, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -0*l - 2*l, -21 = -4*l - 5*s. Let w = 23 + -14. Calculate the lowest common multiple of w and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/3 - 622081*g - 3732482\/3 = 0.\nAnswer: -1866241, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5486 - 3319. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w. Let s be (-4)\/26 - 26\/(-169) - -2. Let c(g) be the third derivative of 0 - 1\/24*g**4 - 4*g**s + 0*g**3 + 0*g. Calculate c(b(k)).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**3 + 6*z**3 + 32*z**3.\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/5))**(4\/5)*(o\/o**(-2\/5))**21 assuming o is positive.\nAnswer: o**(763\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13578*d - 864556 = -4066*d for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, l: 3}. What is prob of picking 1 l and 1 i?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 6*l - 10. Determine o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**3 - 2*b**2 - 2*b - 2. Let f(c) = 5*c**3 + c + 16*c**2 - 4*c - 18*c**2 - 3. What is 2*f(j) - 3*p(j)?\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 197099159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 + -4.14. Let o = -0.11 + -2.89. Which is the nearest to 0.1? (a) o (b) 1\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + 0*c)*(1 - 1 + 2*c + (0 - 2 + 5)*(0*c + c - 2*c) - 3*c + 2*c - 2*c) + (4*c - 4*c + 2*c)*(11*c - 4*c + 2*c) - c**2 + 0*c**2 - c**2.\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let d(j) = -j**2 - 59558. Calculate d(a(g)).\nAnswer: -g**2 - 59558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7878338 is divided by 970.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 16 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22549444 - 0.1865612\nAnswer: 22549443.8134388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10*i**3 - 8*i**3 + 26*i**3.\nAnswer: 8*i**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*h - 5*h - 872*h**5 + 368*h**5 - 14*h - 252*h**5 wrt h.\nAnswer: -15120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (539 + 1 - -3)\/(-18 + 19). Let r = n - 541. Solve -3*j = r + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 159. Let b = x - -140. Let d(m) = -4*m + 1. Determine d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 6. Suppose j - 9 = -4. Suppose 5*h - 60 = j*b, -6*h + h + 62 = -4*b. What is the remainder when h is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) + 2*sqrt(88))*6*6)\/(-5*(-5*sqrt(72)*-1 + sqrt(72))).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.95 + 0.05. Let n = 3 - l. Suppose 0 = 5*j - 10*j - 2*d - 9, -j - 15 = -4*d. Which is the nearest to 0? (a) -2\/9 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**5 + 3*h**4 + 6*h**2 + 3*h + 9. Let n(s) = s**4 + 1. Let d(i) = j(i) - 9*n(i). Factor d(q).\nAnswer: -3*q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10c + 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from eeeessusesseseseesse.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.007 + 15.007. Let k = 29 - m. Is -0.2 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2)*0)\/(-1). Suppose 0 = 4*c + 4*w - 28, -2*c - 7 = -v*c - 5*w. Suppose -5*u = -m + c, 5*u = -m - 0 + 14. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1039 - -1113. What is the remainder when 665 is divided by b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. Suppose v + 24 = 3*k. Solve f + k = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62797.\nAnswer: 7, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let u(c) be the first derivative of 1\/2*c**2 + 0*c - 9. Give b(u(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 + 0 + 73 - 6*m**2 + 2*m + (-6*m + 4*m - 6*m)*(4 - 4 - m) to the form s + w*m**2 + b*m and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77469 and 36890.\nAnswer: 774690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6616)\/88 + 5\/((-165)\/(-6)). Let q = w - -135. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**1)\/t)**42*t**(6\/11)*t\/(t\/((t**(-7)*t)\/t)))\/((t*t*t**5\/t)\/t**(-5)*t**(-4)\/(t*t*(t*t**5)\/t*t*t)) assuming t is positive.\nAnswer: t**(-511\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*q + 4*v, 0*v = 5*q - 2*v + 14. Let h be (1 + -1)*q\/(-12). Solve 4*f + 5*j + 4 + 5 = h, -5 = 5*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -699 and 1.4?\nAnswer: 700.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 9)*(-k**5 - 2*k**5 + k**5) + 5*k**5 + 2*k**5 - 4*k**5.\nAnswer: 25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-113314)\/(-18) + (-256)\/(-576) - (-2)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71958 by 537.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose -v = -2*a - 3*v + 14, a - j*v + 8 = 0. Solve -5 = a*r - 5*k, -2*k + 16 = 3*r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*u + 37*u - 38*u**2 - 16*u)*(-6*u - 8*u + 6*u)*(2*u - 3*u + 5*u).\nAnswer: 1216*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52782 and 34086?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1352*l - 340*l - 601*l + 97*l - 707*l to the form a*l + x and give a.\nAnswer: -2903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*r - 1444*r - 400*r**2 + 197*r**2 + 202*r**2 - 1 to the form p*r**2 + t + a*r and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -8*d + 3*d + 3*r + 5, 21*r + 294 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2080 + -5?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0.4, -44, -0.0333 in descending order.\nAnswer: 0.4, -0.0333, -17, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -32*z - 104. Suppose -q = 12*q - z. What is d in 0*d**3 + 0 + 1\/5*d**q - 1\/5*d**4 + 0*d = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/60*-1 - 0. Let g = a - -23\/60. What is the biggest value in g, 0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f**2. Let z(b) = -4*b**2 - 41. What is a(z(p))?\nAnswer: -160*p**4 - 3280*p**2 - 16810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 2)*(-2 - 3 + 3)*(1 - 4 + 2 + 2*j) as n + u*j and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -3, -2, -160, 0, -4 in descending order.\nAnswer: 107, 0, -2, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxt when four letters picked without replacement from xtqxqxxqxqxtfqj.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 1. Let a be h(-1). Suppose -y = 5*j - 112, -y + 6*y = a*j + 410. What is the remainder when y is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -49. Let a = -19 - u. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*w + 3 = 0, 13 = 2*q - q + 3*w. Let o be 1 + -2 + 6\/q. Let f = -8 - -3. Put o, f, 0.2 in decreasing order.\nAnswer: 0.2, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9825291 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.5. Let z = -139201 + 1529229\/11. Let c = -180 - z. Is c != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 2871, -1\/5, -0.11, 2\/3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*10\/16 + (5 - 7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1769*j**3 - 1763*j**3 - 1762*j**3 - 1764*j**3 + 7056*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101101001110 (base 2) to base 16\nAnswer: 1b4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3698, -13918, -30654, -53906, -83674?\n\"Answer: -3258*h**2 - 446*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2251635 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6972, -7005, -7052, -7119, -7212, -7337, -7500, -7707?\n\"Answer: -u**3 - u**2 - 23*u - 6947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 + -1 + 105 - 79) + -1 + -1 + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -265 - -451. Let x = y + -129. Calculate the remainder when x is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257882040 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -19 - ((1 - -81) + 16)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus -4438833.6755?\nAnswer: 4438841.6755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31049673 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4 - 1 + 7 + 3*u - u + 5*u**2. Calculate the lowest common multiple of 22 and h(-2).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4350 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.092 + -0.092. What is the nearest to 1 in b, 0.24, -0.4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 505690182?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0 = -5. Let a(n) = 5*n - 1. Let t be a(i). Let j = t - -8. What is the smallest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 35) + 0 + 26.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) 6\/7 (c) 3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-346)\/(-14) - 2\/(-7). Let c = f - -22. Let m = 117 - c. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18870695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 plus -4.617?\nAnswer: -32.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.246 - 229.754. Let y = u - -240.3. Let m = -2.8 + y. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 110 = -22 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 9)*(-3*j**3 - j + 2*j**3 + 6*j**3 + (-5 + 5 + 2*j)*(5056 - 2*j - 5056 - 190*j**2)).\nAnswer: 5250*j**3 + 56*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-8))\/(20*(-3)\/(-96))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784 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 are the prime factors of 480722?\nAnswer: 2, 11, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 2.1222?\nAnswer: 2.1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -153768\/65 and -2366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -68564?\nAnswer: -68564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -64, -45, -18, 17, 60, 111?\n\"Answer: 4*v**2 - v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13299867 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + -12.5. Let v = g - -17. Let i = -3.1 - -0.1. What is the nearest to i in -5, 1\/3, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12682 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36837 is divided by 226?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -194011 (base 13) in base 9?\nAnswer: -1170887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*d = 224*d + 187 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from nuequlllelllnlllell?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -6. Let p = -1.5 + g. What is the third biggest value in -2, 2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 19*t - 2 = 0. Solve -2*i - t = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203198 is divided by 306.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + 5*j**2. Let d(m) = 7*m**3 + 11*m**2 - m. Suppose 10 = b + 5*h, b - 4 = 3*b + 4*h. Let z(w) = b*f(w) + 4*d(w). Factor z(n).\nAnswer: -2*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:48 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -23. What is the remainder when 165 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5238 + 25427\/5. Let c = i - -16671\/110. Let n = -12175\/3058 - -168\/139. Find the common denominator of n and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6420 and -11\/25590.\nAnswer: 5476260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -701 (b) 3 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 75.\nAnswer: -52\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -9, 43.819 in decreasing order.\nAnswer: 43.819, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50992, 102037, 153112, 204211, 255328, 306457?\nAnswer: 357592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 4\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.08681 - -676023.\nAnswer: 676027.08681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3577)\/6370 + (-3)\/(-5). What is the closest to 0.2 in k, -4, -1\/3, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3216*m + 2. Let c(v) = 509*v + 3. Give s(c(x)).\nAnswer: 1636944*x + 9650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/11))\/d**(-1\/10))**(-20)\/(((d**(-6)*d)\/d*d)\/d**(-4\/7))**(-23) assuming d is positive.\nAnswer: d**(-9257\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 5. Let d be s(4). Let g be (-2)\/(2 - d)*-1. Suppose -i = -g*i + 1. What is the greatest common divisor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-2\/5))\/g))**28*(g**(2\/3)*g)**(-6\/19) assuming g is positive.\nAnswer: g**(3674\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = i + 2*m - 3, -3*m = 4*i - 79. Suppose 3*q + i - 24 = -x, -4*q = x - 5. Solve 0 = k + o + 1, -2*k - o = -q*k + 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 15.6. Let k = -4 + t. Let b = 1 - k. What is b rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, 2\/17, -0.06 in ascending order.\nAnswer: -0.06, 2\/17, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 72 + 26 + -19.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14042293, -28084582, -42126871, -56169160?\n\"Answer: -14042289*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + 4\/(-2) - -22. Let p = z - 45. Calculate the smallest common multiple of (-16)\/p*(-10)\/(-4) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -103.\nAnswer: -7\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 9 = -42*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 975 and 7241.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 5*p + 3. Let i(m) = m**2 + 17*m - 24. Let y be i(-21). Suppose -15 = 9*c - y. Calculate g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52407\/22 - 2383. What is the common denominator of (3 - (-32)\/(-10)) + 1165\/(-550) and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1435118, -0.3, -0.1, 0.3?\nAnswer: 1435118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 + -27?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 297, 949, 2215, 4299, 7405, 11737, 17499?\n\"Answer: 34*i**3 + i**2 + i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219159\/70 - 3131. Calculate the common denominator of r and -55\/3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -528826\/55 + 49061\/5. Let b = l + -197. Let k = -0.8 - -1.1. What is the biggest value in 0, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*r + 29*r + r - 58 wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. Let x(q) = -q - 1. Let f be x(-5). Let a be ((-5)\/(-10))\/((-6)\/f). What is the closest to a in 0.3, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*r - 28, -5*o - 15 = -5*r + 5. Let a = -898.03 + 880. Let l = 18 + a. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158928 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5040 + -5039.7. Let g = -97\/231 - 5\/33. Sort i, -0.3, g, -2\/11 in descending order.\nAnswer: i, -2\/11, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5824 + 5870.37. Let v = -0.63 - w. Let q = v - -47. What is the third biggest value in 3, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 9*r**2 + 7*r + 21. Calculate the remainder when c(9) is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2656 and 167\/4980.\nAnswer: 39840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 9*i - 4*i = 15, -4*z = 5*i - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2 + 213400*l + 426780 = 0.\nAnswer: -42678, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r = -44*r - 42*r + 64 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (790 - 5 - 29)*(-3 + 3 + v)*(-3*v + v + 3*v).\nAnswer: 756*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 1. Let k be x(-1). Solve 21 - 11*d + 14*d**2 + 39*d - 10*d**k + 19 = 0 for d.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10254243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -169*o**3\/12 + 13*o**2\/2 - o - 7. Suppose f(t) = 0. What is t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j*u**4 + 9*j*u**3 + 576*j*u**2 wrt u.\nAnswer: 552*j*u + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2789*i**3*r**3*s - 669*i**3*s + i**2*r**3 + 2*i**2*r*s wrt r.\nAnswer: -16734*i**3*r*s + 6*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1997, 8218, 18587, 33104, 51769?\n\"Answer: 2074*z**2 - z - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-581 - 625 - 1414)*(5*n - 2*n - n).\nAnswer: 10480*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d22 (base 16) to base 5.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:14 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*v = -1 - 0, -3 = -o + 2*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let t(f) be the third derivative of f**4\/3 + 2*f**3\/3 - 52*f**2. Give -6*d(y) - t(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5720730448.\nAnswer: 2, 357545653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (56\/(-756)*1*12)\/((-2)\/60). Is i != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 4. Let z be a(2). Put 12, -1, z in decreasing order.\nAnswer: 12, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -57*v**2 - 12*v + 27. Let x(p) = -57*p**2 - 11*p + 27. Let q(j) = -3*c(j) + 2*x(j). Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12765, -0.1, 24, 0.5, -7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -985, -975, -965, -955, -945?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 13*t**2 - 114*t + 164. Determine q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*t = -4*q + 205, -3*t = 4*q - 271. Suppose 0 = 2*f + q - 77. Suppose -7*i + 9 = -f. Solve -3*d = -6*d - 3*y + 12, 0 = y - i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -68. Let s = -20 - n. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1123222?\nAnswer: -1123211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z = -2*u - 1, -z = 4*u - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -388\nAnswer: -9\/388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 490*k**4 + 170*k**3 + 16*k**2. Let r(j) = -j**4 + j**3. Let x = -95 + 101. Let v(g) = x*r(g) + t(g). Factor v(b).\nAnswer: 4*b**2*(11*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -21*c - 3. Let l(g) = 2*g. Give b(l(r)).\nAnswer: -42*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82045 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:06 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 0 = -12*l. Suppose n - 185 = -l*n. Let y = 40 - n. Calculate the highest common divisor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -4*q, -5*q - 167*k = -170*k - 41. Which is the smallest value? (a) -0.4 (b) -3 (c) -1\/13 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 10:04 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 28 = 6*y + 1, 4*y + 3 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(567) + ((sqrt(567) - 1*sqrt(567)) + -3)**2 + (sqrt(252) - (2*sqrt(252)*-3 - sqrt(252)))**2.\nAnswer: 9*sqrt(7) + 16138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfvlfh. Give prob of sequence vhlh.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o - 55802*o**3 - 3*o + 55865*o**3 + 3*o.\nAnswer: 63*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from zzrzzzrzzzzrrzrzzz.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:35 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/34 + 1)*(-3 - (-65)\/39)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -37*d**3 + 6*d**2 - 2*d - 1. Determine v(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 56, 73, 88, 101?\n\"Answer: -o**2 + 22*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -559890 divided by 18?\nAnswer: -31105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 57*t + 1845 - 461 + 1035 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 + 0*a + 0*a**3 - 13*a**2 - 1\/60*a**5 - 1\/24*a**4. Let n(u) = -u**3 + 4*u**2 + 4*u. What is -n(l) - 4*y(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20548, -41092, -61650, -82228, -102832, -123468, -144142?\nAnswer: -164860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 980232727 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-16))\/(220\/(-880)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 - 2595*s**2 + 5*s + 2595 = 0.\nAnswer: -519, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5343518182 to the power of 1\/2, to the nearest integer?\nAnswer: 73099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-4))\/(4\/(-16)). Let g = 9 - i. Suppose 5*k - g = k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*t**2 + 101*t**2 - 48*t**2 - 2.\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -7*x**5\/20 - x**2 + 2327*x. Let s(j) = -15*j**3 + j - 5. What is 5*c(i) - 2*s(i)?\nAnswer: -5*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r = 3*r + 150. Let -10*p**2 - 6*p**5 - p**5 - 4328*p + 10*p**4 + 2*p**r + 4333*p = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1648*z - 1650*z - 9 = j, z = -3*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 1, i: 3}. Give prob of picking 1 x and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -161 + 803\/5. What is the third biggest value in m, -1.1, 2, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14480 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 599148 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 2*p + 1. Let r be v(2). Let s be (r + 24)*(-8)\/(-5). Let o = 23 + s. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44517 + 99344. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 538394 and 252327.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -124\/5, 0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2 + 2)*(3981*w**4 + 40867*w - 40867*w).\nAnswer: 11943*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1087 divide 6597003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 k when four letters picked without replacement from {k: 1, j: 1, f: 3, x: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -14, -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9072) + sqrt(9072)*1*3 + sqrt(9072))**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 5*u**3 - 2*u - 6*u**3 + 3*u.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046902 - 43.\nAnswer: -42.953098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 1\/2*h**3 - 3\/20*h**4 - 13*h + 5\/2*h**2 + 0 + 1\/100*h**5. Factor f(w).\nAnswer: (w - 5)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2352 + 3?\nAnswer: -234a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -1\/66*d**4 - 1\/231*d**7 + 2*d + 0*d**2 + 0*d**3 + 1\/165*d**6 - 1 + 1\/110*d**5. Suppose b(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -76 and 0.1738.\nAnswer: -13.2088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -529935.6 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -6295\nAnswer: -251.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/27, -7, -4\/7, 0.05?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 63.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4307 is divided by 86?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:32 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4eb482 + f?\nAnswer: -4eb473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 9:14 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/3 - 5*a**2\/2 - 3*a - 1. Let t be f(-7). Let n = t - -17. Put -2, n, 5 in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 10*h + 13. Let o be a(11). Suppose -3*m + 5*n = -108, -5*m - 4*n = -o*m - 81. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*n**3 - 5 - 4*n**3 + 3*n + 5 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 + 0.3. Let w = 5.5 - 9.5. Let x = 14 - 12. Sort x, w, a in increasing order.\nAnswer: w, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 5:16 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t = -36*t + 968. Is t less than -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 39, -113, -1\/2 in ascending order.\nAnswer: -113, -3, -1\/2, -0.2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607876887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 16. Which is the biggest value? (a) 0 (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -2 + 0)\/(6\/(-15)). Suppose 5 = -m*g - 5. Let j be (2\/(-21))\/(g - 70\/(-36)). Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*c + 94, -17 - 29 = -2*c - 2*d. Calculate the remainder when 58 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4660 + -4525. Calculate the greatest common divisor of m and 1980.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(76) + 1*sqrt(76))*3*-3)\/(-3*(sqrt(120)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.89 + -1.11. Let y = 49 + x. Let v = -2 + 4. Which is the third smallest value? (a) y (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93274.602 and -0.2?\nAnswer: -18654.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -11683063.\nAnswer: 27\/11683063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a - 4*t, 5*a + 52 = 2*t + 8. Let g = 194 + -194. Suppose g = 19*b - 23*b - 32. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.008657 nanoseconds to milliseconds.\nAnswer: 0.000009008657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 17. Let u be m(21). Suppose o = -o + x, u*x - 10 = 3*o. Solve 15 = -5*y + 5*q, 3*y + 0 + 6 = o*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/33 (b) -1 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3863.\nAnswer: 19315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 33 = -28*h + 5*c, -4*h + 4*c = -24. What is the greatest common divisor of 2034 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -36663403?\nAnswer: 36663384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5 + -7*1164\/(-210). What is the derivative of -14*d + 197 - s - 43*d - 8*d wrt d?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 9. Let v(o) = -o - 2. Let t(a) = -u(a) + 4*v(a). Let f(w) = 3*w. Let x be f(1). Give t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-170)\/(-12) + 2 + -1. Let p = q + -16. Let o be 1\/3*4\/(-2). Which is the third biggest value? (a) p (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let r be b(7). Let q(d) = -d**3 - 6*d**2 - 4*d + 7. Let c be q(r). Factor 2\/3 + x**3 - 2\/3*x**c - x.\nAnswer: (x - 1)*(x + 1)*(3*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/21*14\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/375*5*-10. Suppose 4*h = 4*k - 16, 4*h + 10 = 2*k - 0*h. Solve -l*b**2 + 0 - 2\/5*b**k - 2\/5*b = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 11*g - 13. Let q be o(-5). Let s = 347\/4452 + 2\/371. Which is the biggest value? (a) q (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3296\/20 - (-2)\/10. Let g be 1 + (-1 - (6 + 0)). Let a = 9 - g. What is the highest common divisor of m and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, s: 2, m: 2, u: 6, k: 3}. Give prob of sequence pssp.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from kmxxxbxoocxkxxxmbxx.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/15)\/(28\/(-21)). Which is the nearest to -1? (a) 1\/25 (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 69. Suppose -5*a + i = 3*z, -5*z = 2*a + 3*a - 55. What is d in -8*d + z - 9*d**2 - 14*d + 7*d - 2 = 0?\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3.03, 4, 5, -4?\nAnswer: 3.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 72. Suppose 32 = 3*a - 2*n, 4*a + 3*n + 6 = l. Is 11 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, p: 2, m: 3, f: 4}. What is prob of sequence jm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 + -24 - -1*2. Let q(r) = -2*r - 1. Let a be q(-2). What is the nearest to -16 in -2\/3, a, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(243) + 3 + -1)**2.\nAnswer: -108*sqrt(3) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 133. What is r(-5)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**4\/12 - f**2. Let u be 1*-2 - (-12 + 8). Let a(g) = u*g**2 + g**2 + g**2. Determine l(a(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123310 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 + -49 + (163 - 171)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 + 4 - 4 + y**5 + y**5 - 4*y**5 + (-2*y**3 + 4*y**3 + 0*y**3)*(2*y**2 - 3 + 3) + y**5 + y**5 + 0*y**5 - 6*y**5 + y**5 + 28*y**5.\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t + 17. Suppose -18*m + 210*m - 1152 = 0. Calculate g(m).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from {q: 2, y: 2, b: 8}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137298 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408335?\nAnswer: 5, 81667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 880\/120577?\nAnswer: 880\/120577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 781860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 39*m - 12. Let n be b(-20). Suppose -4*z - 5*k = -243 + 47, 0 = -2*k + n. What is the greatest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6100 and 2107200.\nAnswer: 128539200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*q - r, -3*q + 584*r + 30 = 589*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014392 rounded to 5 decimal places?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*r + 756 - 773 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 + 0*u + u + 2*u**3 + 535 + 717.\nAnswer: 2*u**3 + u + 1031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g - 2. Let j be b(-2). Let d be 56\/(-12) + 2\/3. Let t be 2\/6 - (d - -5). What is the third biggest value in t, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -232, -331, -414, -475, -508, -507?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339359089.\nAnswer: 23, 241, 61223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 8 + 8)*(-3 - 2 + 4)*(1 - 2 - 1)*(-3 + 4*g + 3).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 540332?\nAnswer: -540324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2*k**2 + k. Let t(f) be the first derivative of -f**4\/2 + 4*f**3\/3 + 3*f**2\/2 + 7. Suppose 0 = -2*m - 9 - 1. What is m*i(q) + 2*t(q)?\nAnswer: q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 0*n + 0*n + 14*n as w + i*n and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**6 - c**5 - 608*c**3 - 4*c**2 - 55*c + 10 wrt c.\nAnswer: 480*c**3 - 60*c**2 - 3648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/3)*c*c*c*c**(-15)*c*c*((c\/((c\/(c\/(c**4*c)))\/c))\/c)**(1\/9) assuming c is positive.\nAnswer: c**(-109\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 + 210. Calculate the remainder when 133 is divided by t.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 166 (c) -0.17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -21755237 and -21755237 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 times 175087?\nAnswer: -9804872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (5*sqrt(1539) - sqrt(1539)))*3 - (-3 + (sqrt(1539) - (sqrt(1539) - -1*sqrt(1539))) + (-2 + sqrt(1539))*4))**2.\nAnswer: 2754*sqrt(19) + 124948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 - 12*u**2. Let t(y) = y**2. Determine t(q(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -36*h + 126 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:47 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*g + 67. Let t(j) = -23*j**2 - 17*j - 17. Let h(i) = -8*i**2 - 6*i - 6. Let d(r) = g*h(r) + 6*t(r). Let f(x) = 3*x. Give f(d(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12673 = -2*t + 37576, 0 = 4*q - 5*t - 201061. List the prime factors of q.\nAnswer: 3, 11, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-2))\/(6\/(-120)). Let y(w) = 3*w**3 + 19*w**2 + 5*w - 2. Let h(u) = -7*u + 8. Let r be h(2). Let x be y(r). Solve 0 = x*n + n + g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 49688595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:18 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 3*x + 0*x)*(50 - 71 - 65)*(-9 - 4 + 1) in the form y*x + o and give y.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21871 is divided by 223?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20520191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 12, l: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2916 - -239?\nAnswer: -2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 3\/4, 5, -200?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + 6*f**2 + 5*f. Let h(s) = s**2 + s. Let n(q) = -6*h(q) + p(q). Find the second derivative of n(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 528523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -2*y**2 + 1\/21*y**3 + 0*y**4 + 0 - 1\/210*y**5 + 0*y. Suppose d(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 5. Let y be x(-5). Let f(u) be the first derivative of y*u - 2\/3*u**3 + u**2 + 3. Factor f(v).\nAnswer: -2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 867821\/6 or 144637?\nAnswer: 144637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.7 + -104.7. Let i = -86 - q. Which is the third smallest value? (a) i (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 1392, 1\/3, -1 in descending order.\nAnswer: 1392, 1\/3, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*m*s**5 - 14*m*s**3 - 7*m + 68*s wrt s?\nAnswer: -720*m*s**3 - 84*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 24. Let i be w(7). Let u(n) be the third derivative of 0 + 0*n - 1\/10*n**5 - 1\/6*n**i + 0*n**3 + 1\/30*n**6 + 1\/35*n**7 - 4*n**2. Factor u(q).\nAnswer: 2*q*(q - 1)*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 2*m**2 - 2*m - 1. Let k be i(1). Solve -5*f + 9*x - 5*x + 8 = 0, -3*f - k*x = 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + 36 + -26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37645681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -13412441422?\nAnswer: -13412441430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3\/(9\/24). Let r be (b + -1)*2\/(-8). Which is bigger: -1\/8 or r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896083715 to the power of 1\/2, to the nearest integer?\nAnswer: 53815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x + 2*g - 24 = -28*x, 14 = 2*x + 3*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1 + 2 + -3). Suppose 0 = -d*p + 5*p - 5. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 268.65774 and -0.1.\nAnswer: 268.55774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 109 = -5*a, 4*q + 5*a = 6*q - 99. Factor 80*p**5 + 800*p**4 + q + 1000*p**2 + 325*p - 33 + 1400*p**3 + 21.\nAnswer: 5*(p + 8)*(2*p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + 7*u - 2. Let y be a(6). Suppose -5*t = y*w - w - 4, -5*w = t - 14. Solve -2*z - 2*d = -w*z - 6, 5*z = 5*d - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3, 24, -0.28, -2731?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-21)*70\/(-15). Let g(t) = 2*t - 7*t**3 + 6*t**3 + 7*t**2 + 3*t - 2*t - 9. Let w be g(7). Calculate the greatest common divisor of w and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*a = a, -3*y - 2*a - 7 = 0. Suppose 3*n = -3*b - n + 12, -2*b = n - 13. Let i be 2\/5 - b\/45. Sort y, i, -1\/9 in descending order.\nAnswer: y, i, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose -19 = -x*a - 3*y - 4, 4*a - 36 = -4*y. Round a to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1*(-1803)\/3. What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/62231 and -5\/138823.\nAnswer: 1804699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4635.037 rounded to the nearest integer?\nAnswer: -4635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4 + 129*j**3 + 249*j**2 + 123*j = 0?\nAnswer: -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-32)\/12 + 3). Let a(y) = 4*y**2 + 3*y - 5*y**2 + 0*y. Let d be a(3). Put 4, c, d in descending order.\nAnswer: 4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464777974?\nAnswer: 2, 23, 653, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-35))\/(((-8)\/18)\/((-1106)\/9243))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406901\/46 + -65284001\/7383. Let g = h - 10\/321. What is the common denominator of -31\/6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*k = 73, -58 - 56 = -4*i - 2*k. Suppose -11*t - 22 = -13*t. What is the remainder when i is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - t**4 + 1 - 2*t**4 + 3*t**4 - 5*t**4 + (0*t**2 + 0*t**2 + 2*t**4)*(-2 - 1 + 4) - 6*t**4 + 3*t**4 + 2*t**4.\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3. Suppose -4*j = 3*i + 27, -6 = j - 4*j + 3*i. Calculate the lowest common multiple of b(-2) and 22 - (2 - (5 + j))\/(-3).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223017544*f**5 + 58*f + 241088.\nAnswer: -4460350880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2270246 milligrams to tonnes.\nAnswer: 0.0000000002270246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11104 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: What is the thousands digit of 4730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-40) + 2354\/10. Suppose 2*k = c - 55. Calculate the greatest common divisor of k and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-12))\/((-1)\/6). Let g be 10 + (0 + -5 - t). Is 7 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1512 and 626346?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-4))\/(1\/(-4)). Suppose k = 5*k - 12. Let h be k\/(2*r\/(-6)). Is -4 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 4) + 5 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 + 261*j + 188*j**2 - 72 - 280*j**3 + 90*j**2 + 4*j**4 - 204 + 19*j.\nAnswer: 4*(j - 69)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 81873 - 81873.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*b - 3113*b - 535*b.\nAnswer: -2943*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 476799549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let f(m) = 0*m + 2*m + 4*m. Give v(f(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 77*b + 867. Determine t(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + (-18 - (-1743)\/(-609)). Sort 0.3, v, -3 in decreasing order.\nAnswer: 0.3, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120b68 (base 12) to base 13.\nAnswer: -a2b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 19*g**3\/3 + 29*g**2\/2 - 22*g. What is the derivative of l(x) wrt x?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1984916432 + 272*v + 1984916432.\nAnswer: 272*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861 divided by -297?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-33)*(-144)\/(-74). Let w = -1448080\/5291 - -3558\/13. Let j = w - o. Which is smaller: -2\/5 or j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50689213?\nAnswer: 50689213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*g - 4 = 0, -k - 5 = -5*g + 3. Let h = -75 - -119. Suppose -3*i = -2*m - 7*i + h, 2 = -2*i. Solve -a - p - 7 = 0, 3*a + m = -k*p - 2*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*f - 4 - 0, -3*h + 3 = 5*f. Solve -4*p + 16 = -f*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1699\/33 + 570\/11. Let g be (-76)\/180 + 2\/9. Sort -13, -1\/2, g, n in descending order.\nAnswer: n, g, -1\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 5*c - 48 = 0. Let n be 3\/(-9) - (-374)\/c. Is n != 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 10. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 433 - 158. Let a = b + -190. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -9\/163424, 4, 1\/5 in descending order.\nAnswer: 4, 1\/5, -9\/163424, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - w = -11, 5*b + 0*w = -w + 26. Suppose 4*h = 4*o + 1012, -2*h - b*o + 498 = -3*o. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 5785.\nAnswer: 17355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (9 + 5 + (26 - 38))) + -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -4*h - 89, -4 = 4*n + 7*h - 3*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -87*m + 303. Let z(o) = -41*o + 152. Give 6*i(h) - 13*z(h).\nAnswer: 11*h - 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/13 + 110378186*o\/13 + 110378184\/13 = 0. What is o?\nAnswer: -55189092, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 28 = 11*q - 2*h, -4*q + 5*h - 36 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325 + 565 = 20*z for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 - -0.12. Let s = -0.05 - m. Let p = 5.12 + s. Which is the second biggest value? (a) 3 (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -4 + (48 - 64)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or -5\/2352118?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 2. Let y be p(5). Suppose -u - 5*o = -y*o, -5*u + 26 = -3*o. Suppose -u*t + 9 = -91. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2))**25*(o\/o**(24\/11))\/((o\/(o*o**(4\/9)))\/o) assuming o is positive.\nAnswer: o**(-2449\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa + 5538?\nAnswer: 5737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 8*f + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-456)\/20672)\/((-6)\/64).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 144, 159, 190, 243, 324, 439, 594?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38629 and 268.\nAnswer: 10352572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 7. Let h be p(-9). Suppose 5*y - 4*d - 175 = -5*d, -4*y + 140 = h*d. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6825423698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, d: 1, z: 6}. What is prob of sequence dzll?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 10 + 2051*z**2 - 398*z**2 - 7 + 13.\nAnswer: 1653*z**2 + 2*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11275 = 5*g, 5*g - 6*l = -3*l + 11281. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let i(d) = -20*d - 5. Let s = 48 + -43. Let p(v) = -21*v - 6. Let r(o) = s*p(o) - 6*i(o). Give -12*l(z) + r(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/90 and 73\/31080?\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332443 is divided by 2835?\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-40)*10\/12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3204, -25743, -86970, -206211, -402792, -696039?\nAnswer: -1105278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvjhjjvh. Give prob of picking 2 h and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, f: 3}. Give prob of sequence or.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -3, 5\/9, 0.11?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 + 2*i**2 - 10*i)*(5*i - 3*i - 4*i).\nAnswer: -4*i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s - 228 = -v, s - 3*v - 86 = 0. Find the common denominator of ((-9)\/(-6))\/(24\/s) and (23\/(-2))\/((-195)\/117).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70257853861735 - -4.\nAnswer: 70257853861739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/126*m**7 - 4*m + 0*m**4 + 0*m**2 + 0*m**3 + 0*m**5 + 0 + 0*m**6. Factor f(p).\nAnswer: p**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.41 + -0.69. What is u rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 2. Let w be n(-3). Let x = 46 - 52. Let a = w - x. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -126, -1072, -3, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/3 + 1018*s**3\/3 + 311050*s**2\/3 + 5092458*s + 69231120 = 0.\nAnswer: -168, -29, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 1\/120*v**6 + 0 - 111*v + 1\/1008*v**8 + 1\/45*v**5 + 0*v**3 - 1\/18*v**4 - 2\/315*v**7 + 2*v**2. Let y(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**48)**(-41) assuming h is positive.\nAnswer: h**(-3936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 248628642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1786, 7041, 15770, 27949, 43554?\nAnswer: 62561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148\/12 + -12)*18*(-11)\/(-4125).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2599850*g**3 - 2116363*g.\nAnswer: 15599100*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187676.\nAnswer: 2, 46919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5*m = 18, -5*m = 286*t - 284*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6669 + -6629. What is the lowest common multiple of 84 and x?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d - 3*d = 4*d. Solve c + 4*c - 20 = d, -g + 5*c = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57010198 to the power of 1\/2, to the nearest integer?\nAnswer: 7551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5361072401 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-16)*-8 - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*14148879\nAnswer: 14148879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 66 = 24*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 1\/16*j**3 + 0*j - 1\/160*j**5 - 73*j**2 + 0*j**4 + 0. Factor m(t).\nAnswer: -3*(t - 1)*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 96004698?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*t, -5*t + 6*p = p - 20. Let j = 0 + t. Calculate the remainder when 9 is divided by (j + -5)*(-1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 2.9. Let x = 6 + -7.3. Let o = x - -1. Which is the third biggest value? (a) o (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 851695 divided by -65\nAnswer: -13103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -114*a + 60. Let r be n(-16). Let s(m) = r - 1884 + 6*m. Let x(b) = 6*b**2. Determine x(s(h)).\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 + 3*p + 0*p - 21*p**4 + 482 - 14*p**3 - 247 to the form s*p**2 + j*p**4 + m*p + h*p**3 + g and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9153203 rounded to two dps?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*g - 1006*g + 210*g - 1662*g - 1771*g.\nAnswer: -4570*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 8*m**2 - 6*m - 10. Calculate f(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s + o = -22*s + 6, -o - 8 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14*m**3 - 5*m**2 + m - 24. Determine l(3).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95830 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 - 384 + 872*m + 44*m + 13*m**2 + m**2 - 240 = 0. Calculate m.\nAnswer: -66, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 + 5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*o = -85*o. Sort o, 4, -29 in decreasing order.\nAnswer: 4, o, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**7*h\/h**(-3\/4)*h\/((h*h**(4\/9))\/h) assuming h is positive.\nAnswer: h**(-169\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/33 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {k: 1, t: 1, u: 1, f: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*m**2*u**2*v + m**2*v - 46997*m**2 - m*v + 189*u**2 wrt u.\nAnswer: -542*m**2*u*v + 378*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*u + 246 = 0, -u = -0*b + b - 66. Find the common denominator of (-4870)\/100 - (-8)\/(-10) and 4\/(-14) - (-389)\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 + -4. Let a = 11 + -10. Let l = a - -3. What is the closest to m in 3, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10255 divided by 35\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 364, -1\/10, -1\/3, 0.4, -7.6, -1\/2?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -212?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -39*j**3 + j + 1. Determine o(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*p**2 + 4*i**2 + 64*i*p**2 wrt i.\nAnswer: 2*p**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -126. Find the common denominator of (-4192)\/(-864) - (u + 2) and ((-320)\/6)\/((-156)\/6).\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 + 5)*(8*u + 31 - 31) as i + n*u and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - 0.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53478 and -0.03?\nAnswer: 1604.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w + 101. Let z be p(6). Solve -z*c = -2*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5\/3)\/l)**(-3\/10)\/(l**(-4\/9)*l\/(l\/(l*l*l**37\/l*l*l))))**(11\/4) assuming l is positive.\nAnswer: l**(-4796\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 - 4*n - 13. Give d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2 - 2 + 2*g)*(-21*g - 28*g + 50*g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4344.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 225, 506, 891, 1374, 1949?\n\"Answer: -c**3 + 61*c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b + 65. Let w = -145 - -165. Is k(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3329.524 decades?\nAnswer: 332.9524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 10*d + 12. Suppose 2*i - 640 = -c, -1282 = -d*i + 5*c - 8*c. Suppose -4*q + i - 103 = 0. What is the greatest common factor of q and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-20))\/((-2)\/420). Let k = a + -52. Factor 0 - 3\/2*o + k*o**2.\nAnswer: o*(o - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + sqrt(252)) + 0 + 5 + sqrt(77)\/(sqrt(55)\/sqrt(5) + sqrt(11)))**2.\nAnswer: 740*sqrt(7) + 11183\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -592 (base 11) to base 2.\nAnswer: -1011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*k**2 + 21*k + 34*k**2 - 115*k**2 - 151*k**2 - 19*k to the form a*k + y*k**2 + c and give y.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let b(n) = 2*n**2 + n. Calculate the remainder when 7 is divided by b(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-43)\/(-43))\/(22\/20))?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, r: 4, n: 1, f: 6}. What is prob of picking 4 r?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2039 - 2044 = -5*c, -5*a = -2*c - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18747221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*p - 24. Suppose p*y = -91 + 109. Solve -8*a = -y*a + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*f + 3)*(18 + 26 + 53) to y*f + b and give y.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1908 - -2190. What is the smallest common multiple of d and 22?\nAnswer: 45078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let d(x) = 11*x - 1. Calculate y(d(r)).\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0. Let w = -86 - -355. Let z = w + -269.1. Which is the nearest to u? (a) -0.2 (b) z (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -35. Let k = 0 - z. Let n(m) = 4*m - 12. Let h be n(k). Solve h*s - 13 = -4*j + 3*s, 0 = -s + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2816, 3, 7 in ascending order.\nAnswer: -2816, -4, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129726.\nAnswer: 2, 3, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) 0 (d) 4 (e) -21 (f) -2294\/7 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1046312 to 3 dps.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 18*g - 21*i = -77, -6*g - 11 = -3*g + 2*i for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 260*g**3 + g + 1. Let u be x(-1). Let m = u - -276. Let f be (48\/(-5))\/((-1)\/5). What is the highest common factor of m and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2113*p**5 - 6456*p**3 - 95504012*p wrt p.\nAnswer: 42260*p**3 - 38736*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 151. What is the common denominator of -21\/10 and m\/(-4)*3\/(-24)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (117*q - 244*q + 648 + 125*q)*(0 - 2*q**2 + 0) as o + m*q**2 + w*q + p*q**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w + 297. Calculate d(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 246214?\nAnswer: -246210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.6, 19580\/3 in increasing order.\nAnswer: -0.6, -0.3, 19580\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 8*j + 6. Let h be q(-7). Let v = 66 - 68. Let i be 3 - h*(-1 - v). Solve -i = 2*l - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -5*t - 4*v - 13, -221 = -t - 4*v - 230 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102700918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(27)\/sqrt(3)) - sqrt(1088)*3) + -2 + 4*((sqrt(833) + 0)*5)**2*-5.\nAnswer: -416502 - 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 27*y - 23. Let v be z(1). Solve -2*c + 10 = v*d, -d - 9 = -5*c + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 3. Let r be k(-1). Let b be (-1 + r)*1\/(-2). Solve -4 = -x - b*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1406*o + 10. Let r(v) = 704*v + 4. Calculate -5*r(l) + 2*s(l).\nAnswer: -708*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866.667cm in nanometers?\nAnswer: 18666670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 - (-1 - -13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**4\/3 + 23*y**3\/3 + 27*y**2 + 2*y. Differentiate m(j) with respect to j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) -1\/8 (c) 0.81 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1018.828679 from 0.4476.\nAnswer: -1018.381079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15336 and 135378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 57262\/43459 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -861419 divided by -23\nAnswer: 37453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 58*n + 340\/3.\nAnswer: 2*(n + 2)*(n + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/6 - -4 - (-99)\/297\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 55. Let j = -14400 + 14440. What is the highest common factor of v and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**5 - 65400139*r**3 - 967377956*r wrt r.\nAnswer: -100*r**3 - 392400834*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 5)*(g - 3*g - 3*g) + (1 + 0 - 2)*(0*g + 2*g + 2*g) - g - g + 0*g.\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 14. Let g be m(14). Suppose 3 = -3*r - g*r. Let h(j) = 0 + 0 - 6*j. Determine h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 1\/5 (c) -71 (d) 0 (e) -5 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/18*6 - (4 + (-2 - -24))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 165 (b) 1\/69711 (c) 3\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405032921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b\/(b*b**(2\/3)))*b)\/b)**(-27)*(b\/b**(1\/3)*b*b)**(2\/23) assuming b is positive.\nAnswer: b**(-3089\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4385077199 to the power of 1\/2, to the nearest integer?\nAnswer: 66220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 o when four letters picked without replacement from {o: 13, d: 6}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -288?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31498, 1.6, -5, -0.2 in decreasing order.\nAnswer: 1.6, -0.2, -0.31498, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/5 - 11038*c**3\/5 + 243562*c**2\/5 - 1340922*c\/5 = 0. Calculate c.\nAnswer: -5541, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 2. Let s(f) = 5*f - 25. Let k(j) = -s(j) + 4*v(j). Calculate k(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7185964 divided by 121796?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:58 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 244\/2745*17 + 2\/18*-1. Which is the nearest to 0? (a) 50 (b) j (c) 4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(102)*2 - 1*3*sqrt(102))\/((5*sqrt(162)\/sqrt(3))\/(sqrt(36)\/sqrt(4)*-4))*4.\nAnswer: 176*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834 a factor of 25587583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17910\/2388*6\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 43, 69, 99, 133, 171?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 8. Calculate the lowest common multiple of l(17) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 6*t**3 + 13*t**3)*(4*t + 3 - 3)*(-6 + 4 + 3).\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 1. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfs when three letters picked without replacement from srffssfff?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 65*w**2\/2 - 190*w - 137. Let o be c(3). Let l be 3\/2*(1 - -1). Solve 2*v = -o*g - 11 - 2, 3*g + l*v = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100660279.\nAnswer: 6163, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*z = -15*z - 183 - 1137. Let j(u) = -2*u**3 + 19*u**2 + 12*u - 18. Give j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-6)*8\/(-10). Suppose -l + 35 = 4*g + c*l, -4*g + 36 = 4*l. Suppose -g = -n + 5*z, 5*n + 5*z - 8 = 2. Solve 0 = -n*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 91*w**2. Suppose 5*l - 2*l - 9 = 3*o, -l = -4*o - 6. Let i be q(o). What is the highest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 111576*t - 223168 = 0.\nAnswer: -2, 27896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 805 and 8211.\nAnswer: 41055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvv when three letters picked without replacement from {v: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9 and 2\/5 + ((-24010)\/9900)\/(-49).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*u**4 + 7*u**3 - 21*u**2 + 281*u - 11409865 wrt u.\nAnswer: 28*u**3 + 21*u**2 - 42*u + 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0132144917 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6310 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 108*k + 2709. Give g(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c + 2. Let r be n(-1). Let a = -0.59 - 0.11. Let x = -0.3 + a. What is the nearest to x in r, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(47\/376*2*-2). Let f(u) = 4*u - 7. Let i(l) = -5*l + 6. Determine r*i(a) + 3*f(a).\nAnswer: 2*a - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3 - 8320*k**2 + 487468*k + 495784 = 0.\nAnswer: -2137, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*k, b = 3*b - 4. Suppose -k = 3*i - 4*i. Is i\/4 + 1617\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190040333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s**2 + 7*s + 3. Let z(f) = -7*f**2 - 5*f - 2. Let k(q) = -5*u(q) - 7*z(q). Let p be k(0). Which is smaller: 0.05 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233940166 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 16 = -2*t, 3*t + 5*y = -24 + 5. Suppose 9 = -2*o - 3*c + t*c, c = 4*o + 9. Put -2, o, 7 in descending order.\nAnswer: 7, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700119607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Differentiate s + 3*s + 0*s + f wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 593 (base 14) to base 2\nAnswer: 10001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9234\/5 + 397018\/215. Let r = -24061\/5160 - l. What is the common denominator of r and 59\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 4141*k + k**2 + 4099*k - k**2 + 2*k**3 + 5*k**2 to the form y*k + d*k**2 + z*k**3 + i and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2549\/2 - 1275. What is the second biggest value in 0.1, 7, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -309\nAnswer: -1236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(((-28)\/208)\/(-7)*-2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 220881304 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3*t**3 - 3*g**3*t**2 + 8828*g**2*t**3 - 6006*g**2*t**2 + 3*g**2 + 808*g*t**3 + 11*t**2 wrt t.\nAnswer: -24*g**3 + 52968*g**2 + 4848*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 879, 1?\nAnswer: 879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (42 + 5 + -31).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15397 or 15399?\nAnswer: 15399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/((-21)\/(-28)). Let x be 318\/s + 1 + 4 + -1. Let j = 17 + x. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 16. Suppose 6*y - k = -l + y, 0 = 5*y. Calculate the lowest common multiple of 7 and (48\/(-20))\/((-2)\/l).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 33498?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 + 31*d**2 - 4*d - 3086. Let q(m) = m**3 + 8*m**2 - m + 1. Calculate -i(s) + 4*q(s).\nAnswer: -s**3 + s**2 + 3090","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3 + 4. Suppose -f - y = -3*i, 4*f + 3 + 1 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2608651 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb03 + -5d?\nAnswer: -fb60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*h + 19. Let l(o) = -o**2 + 7*o + 2. Let i = 7 - 2. Calculate the remainder when i is divided by l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 167*t**2 + 11*t - 11. Let i(d) = 56*d**2 + 4*d - 4. Calculate -11*i(a) + 4*z(a).\nAnswer: 52*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.58 - -0.08. Let k = 54.1 + -53.8. Which is the biggest value? (a) i (b) k (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2*q + 330. Is w(0) a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51\/34*(-4)\/(-42). Let s = 18\/53 + 14\/583. Sort r, s, -2\/3 in ascending order.\nAnswer: -2\/3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - 1. Let a be b(-1). Let d(n) be the second derivative of -8*n - 2\/3*n**3 + 1\/2*n**2 + 0. Determine d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.3 - -21.3. Which is the nearest to v? (a) 1 (b) -4 (c) -2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 18*u = 512. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6948 and 2539494?\nAnswer: 5078988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffjfkffhfffhf. Give prob of sequence hffk.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73465.9497 - -73470. Let d = w + -0.0203. Let b = d + -0.03. Sort -0.1, b, 1 in decreasing order.\nAnswer: b, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17763\/121982 or -1?\nAnswer: 17763\/121982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1055935197 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 7:55 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 19. What is s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 7:51 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.171286 and -0.029?\nAnswer: 0.004967294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*m + 3 + 2 + 104*m + 74*m + (2 - 2 + 2)*(-m - m + 0*m) to s*m + x and give s.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16 and -1 + (12\/(-14) - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 450*y - 13094. What is w(86)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-2 - (-6 + (-196)\/4). Find the second derivative of -13*d**4 - c*d - 207*d**2 + 204*d**2 + 0*d wrt d.\nAnswer: -156*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*l**2 + 1 + 6*l**4 - 181*l**3 - 224*l**2 - 622*l**3 - 5*l**4 to p + i*l**2 + q*l + d*l**3 + f*l**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-273)\/(-14))*(-102)\/(-4). Solve -3*q + 10 = -4*d + 2*d, 3*d + p = 5*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 1 + 1. Calculate the remainder when (0 + i)\/(6\/372) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321978119\/618 - 521000. Find the common denominator of q and -143\/150.\nAnswer: 15450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 398616?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + 8.5. Let y = 223.4 + -320. Let f = -97 - y. What is the second biggest value in f, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9132, -11009, -12886, -14763?\nAnswer: -16640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16774 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: Find the first derivative of 227*s*u + 133*u - 3 wrt s.\nAnswer: 227*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**3 - 7*p - 6. Let l(t) = 2 - 98*t - 2*t**3 + 100*t - t**3. Determine -14*l(v) - 4*n(v).\nAnswer: 2*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 10\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12171, 24344, 36517, 48690, 60863, 73036?\nAnswer: 85209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-9\/5)\/(f\/f**(-8\/3)))\/((((f**(-6)*f*f)\/f)\/f*f)\/(f*f**1*f)))**(-2))**32 assuming f is positive.\nAnswer: f**(-2432\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38592*-243.4.\nAnswer: 9393292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-11))\/(6\/(-88)*16). Let y be ((-2)\/(-2) - -1) + -3. Which is the closest to y? (a) -4 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose 0 = 3*a + 15, 5*a = -6*l + 2*l - 17. Suppose -26*s - l = -27*s. What is the remainder when g is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 8:13 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4698727.\nAnswer: 11, 347, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14849, 3, 5, -6, 16.\nAnswer: -6, 3, 5, 16, 14849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11210110200 (base 3) to base 14\nAnswer: -26579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 43. Let f(s) = -s**2 - 9*s + 6*s + p*s - 12*s + 15. Calculate the remainder when f(-8) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2. Let l(g) = 14*g**2 - 18*g**2 - 6*g**2 - 50*g**2 - 10*g**2. Calculate l(c(h)).\nAnswer: -2520*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0040369 + -0.00439. Round o to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 6*x + 31, x - 12*a = -16*a - 1 - 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) -3.1 (c) -23 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/2 - 14*p**2 - 50*p - 48 = 0. Calculate p.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2) - (-128)\/8. Let m = -2 - -8. Solve 0 = 3*k + 4*z - m, 2*k - 5*z = -f - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22579 times -0.3\nAnswer: -6773.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10068 - 7*z**2 - 9*z + z - 10066 + 3*z**3. What is the remainder when u(4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l - 5 + 22 + 17*l - 44*l in the form y*l + q and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-6)\/1*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - -1. What are the prime factors of 14\/1*(z + -10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163612 less than -0.03?\nAnswer: 163611.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 + -3. Suppose 6*j + 0*j = 8*j. Let d = 6\/35 - -3\/7. Sort d, i, j in descending order.\nAnswer: d, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29057 + 26659 - 4706 - 60717)*(c + 0*c + c).\nAnswer: -135642*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2, -76, 6, 6604 in increasing order.\nAnswer: -76, 0, 2, 4, 6, 6604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 8:18 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42784437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = l, 0 = -3*n - 2*l - 0*l + 10. Find the third derivative of 19*q**6 - 3*q**6 - 4*q**n - 11*q**6 wrt q.\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155840996 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.1 and 3535026.\nAnswer: 99334230.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -138\/7. Let p = 0.4 - 5.4. Which is the third smallest value? (a) 2\/9 (b) p (c) -0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4234, -5216, -6860, -9172, -12158, -15824, -20176?\n\"Answer: -r**3 - 325*r**2 - 3908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/36*12\/264*33?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose -c = -5*x - 2*c + 462, 4*c = -4*x + 376. Suppose 3*w - x = -w. Solve 2*p + p - o = -16, k*p = 3*o - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) + (-12)\/15. Let z(o) = -35*o**3 - o**2 - 2*o - 1. What is the remainder when z(v) is divided by ((-133)\/28 + 4)*-4*4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h*h\/(h\/((h*h**(-2\/7))\/h))*(h**(-16))**44 assuming h is positive.\nAnswer: h**(-4867\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minutes before 7:32 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {o: 5, z: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*h**4 - 34*h**4 - 1 + 3*h + 3 to the form a + g*h + b*h**4 + f*h**2 + q*h**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, -4, 0.8, -2\/11, 0.4, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-10)\/((-420)\/7).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*p + n + 6, -n - 24 = -4*p. Let t(m) = 2*m - 7. Let z be t(p). Suppose 0 = -r - z*r + 12. Solve 0*i + i = 2*c - 13, -r*c = 3*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, g: 2, z: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16836, -33664, -50474, -67260, -84016, -100736?\n\"Answer: o**3 + 3*o**2 - 16844*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128100 and 3948?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -1*3*-2*168\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-6)\/27) + (-44)\/198. Let q(u) be the third derivative of 0*u - 1\/12*u**5 - 5\/6*u**3 + 1\/120*u**6 - 5*u**r - 7\/24*u**4 + 0. Calculate q(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 15. Let b be q(-10). Solve l = 2*g + 10, -b*l + l + 4*g + 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*z + 40 = o, 4*z = 2*o. Solve o = 3*j + j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzz when three letters picked without replacement from rzzzrzzz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1136 + -263545?\nAnswer: -265014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/45*(-3)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -431*y - 247. Let g be r(-25). Suppose o - g = -13*o. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195468.\nAnswer: 2, 3, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 0, 4*s = 2*m - 194 - 350. Does 18 divide ((-6)\/9)\/((-5)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*l + 8*l**4 + 7*l**2 - 7*l**2 + 28*l**4 wrt l?\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1020 + -1023. Which is the nearest to z? (a) -2\/15 (b) 2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let l(d) be the first derivative of -5*d**2 + d - 11. Give 2*l(u) + 18*y(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1009.9608 + 0.0392. Let m = a + -1010.818. Round m to 2 decimal places.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 5*y + 1. Let g(z) = -z**2 - z + 1. Suppose -5*p = -2*u - 9, 3*u = -4*p + 1 - 3. Let w(o) = p*c(o) + 3*g(o). Calculate w(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuuu when four letters picked without replacement from {k: 4, u: 2, l: 2, j: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212 not equal to -19219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81740.8 kilograms in micrograms?\nAnswer: 81740800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 160?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 23. Let m be q(4). Solve 5*s - m = 4*j, 0 = 5*j - 0*j + s + 26 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 13. Let i = 0.3 + 0.1. Suppose -4*s - 13 = 4*m + 19, -5*m - 24 = s. What is the nearest to 1 in n, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 7*h - 5. Let q be i(-4). Factor -4*s**3 + q*s + s**3 - 7*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 12) to base 14.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7. Let n be (-1 + (-92)\/(-12))*(-9)\/(-324)*27. Solve -5*s - 4 = 4*z + 12, n*s + 3*z + 12 = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2 - 4*u - 34. Suppose 10 = 2*k - 5*d, 2*k + 0 = 2*d - 2. Is j(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 12649528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)*a)\/a)\/(a*a**(-4)*a) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04159? (a) -0.052 (b) 4 (c) -1 (d) 0 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1) + (-2)\/((-8)\/(-6284)). Let p = 12547 + i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36548051*l**2 - 3130*l - 28472.\nAnswer: -73096102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133192616.\nAnswer: 2, 31, 537067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13402452 (base 6) to base 11.\nAnswer: -289340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n - 43*n = 62648. List the prime factors of n.\nAnswer: 2, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9) - 102\/(-702))\/(22\/44)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 2025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 256*y - 26. Let n(p) = -p**2 - 8*p - 13. Let o be n(-3). Is l(o) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/116 and -21\/319.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7800500 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Let t = 6 + -5.7. Sort q, t, 6 in increasing order.\nAnswer: q, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2621407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -746392 divided by 4724.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169804\/9735 + 993\/59. Calculate the common denominator of -67\/30 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 555*h - 1638.\nAnswer: -3*(h + 3)*(h + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 41, -2 in increasing order.\nAnswer: -2, 2\/17, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(4\/10)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - o = 0, -w - 2*w + 2*o + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 4}. What is prob of picking 2 u and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5547, -5466, -5385, -5304, -5223?\n\"Answer: 81*x - 5628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnnundnndnndunnddn. Give prob of sequence nd.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 224 and 696123.0938.\nAnswer: 696347.0938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 2, n: 1, f: 2}. Give prob of picking 1 n, 1 p, and 2 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32c64 - 2?\nAnswer: -32c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z = -49*z. Let j(t) = t**3 - t**2 - 2*t - 12680. Let k be j(z). Round k to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 423 - 419. Suppose k - 2*b = 3, 5*k - 15 = 4*b - 5*b. Suppose x - 3 = -k*c + 3, -4*c - 2 = -2*x. Sort 2, d, x in ascending order.\nAnswer: 2, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.9, -14\/43, 47 in decreasing order.\nAnswer: 47, 0.9, 2\/21, -14\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-6)\/p)\/(p\/p**(-6)))**3)**(-16))**(-2\/55) assuming p is positive.\nAnswer: p**(-1344\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1850*q**5 - q**3 + 7645*q**2 + 66034785*q + 2 wrt q?\nAnswer: -37000*q**3 - 6*q + 15290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3.4. Let g(j) = 5*j**2 - 17*j - 130. Let w be g(7). Put b, w, -0.2, 1\/4 in ascending order.\nAnswer: w, b, -0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813815 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 13*u**7\/210 - u**5\/30 - 11*u**2. Find the third derivative of t(g) wrt g.\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + 3*y**2)*(-3*y - 2*y + 4*y) + (-3*y**2 + 4*y**2 + y**2)*(-14*y - 2*y + 4*y) as n*y**3 + l + i*y + d*y**2 and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 + 176.3. Let v = -1.36 + 1.16. Sort c, v, 1\/5.\nAnswer: v, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 2*u**2 + 5515*u + 27455. Give s(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 21*j**2 - 20*j + 59. Let z be f(24). Suppose -5*a + 118 = -z. List the prime factors of a.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -27\/294029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b = 3*s + 471, 5*b + 17 = 2904*s - 2900*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 at least -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 283246 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:03 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 12) to base 2.\nAnswer: 1001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**9\/7560 + i**7\/840 - i**4\/24 - i**2. Let b(a) be the second derivative of h(a). Find the third derivative of b(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26324 by 6317.\nAnswer: 26324\/6317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.507 smaller than -72\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126803 + -81197. What is k rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 524, 516, 508, 500, 492, 484?\n\"Answer: -8*o + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -444029*f + 294583 wrt f.\nAnswer: -444029","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154517 by 154517.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 57\/66 - (-920)\/(-2530)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 293774424 - 2?\nAnswer: 293774422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*3 + sqrt(312))\/sqrt(6) + sqrt(52))\/((sqrt(8)*-1)\/sqrt(2)) - (sqrt(39)\/(sqrt(3)*-2)*4 - -1*(-1*sqrt(13) + 1)))**2.\nAnswer: 4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119102415*a**3 + 400712174 wrt a.\nAnswer: -357307245*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -8.3. Let y = j - 1.29986. Round y to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -626 + 624. What is the smallest value in m, 0.4, -0.2, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0 + sqrt(125) + sqrt(5) + sqrt(5))**2 - (3*sqrt(15)\/sqrt(3))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/5 + 26*q**3\/5 - 14*q**2 - 98*q\/5 = 0. Calculate q.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -337 + 340. What is s in -s + 2*s**2 + 88*s**3 - 87*s**c + 3 - 5 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 5*j + (-4 - 1 + 3)*(j - 5*j + 3*j) - 1 + 1 - j - j - j + 3*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 - 2*g**2 - 2*g + 3. Suppose 2 = -3*t - 7. Calculate q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (-13 + (0 - 1) - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 23167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:42 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9909235 rounded to two decimal places?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o + 104. Let k be t(-12). Let h be -3 - (-4 + k)*5. Solve -4*p + 5*f + h = 0, 4*f + 11 + 24 = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + 0.5. Let m = 0 + r. Let k = -33\/148 - 1\/37. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 588452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - 66\/8. Suppose -2*q + 94 = -5*y + q, 3*q + 59 = -4*y. Let c = u - y. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1706 + 1736. Solve 15 = r*h - 15*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102600 and 6048?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 6 + 0)*((-2 + 1 + 2)*(4 - 4 - 2*x) - 7*x + 3*x + 5450 + 5*x) to the form r*x + t and give t.\nAnswer: -59950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 48014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + 0 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 take away -3.0687557?\nAnswer: 4.7687557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -527 + 2?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -56*a**2 + 1. Let n(g) = 525604*g. Determine s(n(m)).\nAnswer: -15470535629696*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1d79e5?\nAnswer: 1d79e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, b: 2, j: 2, u: 1, f: 4, z: 3}. What is prob of picking 2 z and 1 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) -0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*1\/14*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 2*g - 8. Let k(v) = 14*v**2 + 5*v - 23. Let i(q) = 6*k(q) - 17*w(q). Calculate i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -2. Let w(z) = -z**3 - 3*z**2 + 9*z + 5. Let u be w(-4). Let q be -1 - (12\/u - 0). Which is the second biggest value? (a) o (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 531 and 1059\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 9671?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - w**2 + 1. Let l be v(1). Suppose 3*d + d = -3*j + 20, -5*j + 15 = l*d. Differentiate j + 4 + a**3 - 6 + 1 with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let j(i) = -7*i + 11. Let f(w) = j(w) - 6*z(w). Let x(d) = 3. Determine -3*f(q) + 5*x(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3 = -q. Let g be (2 - 2)\/(1\/q). Suppose 12*p = 6*p. Is p smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 748372090 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h - 75. What is z(-8)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -4 (c) -23 (d) -16275 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33008\/5 - -6625. Let o = 24 - s. What is the closest to 1\/2 in -2, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 815.9995843 - 816. Round n to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 + 13\/(-26). Let i be (-4 - r) + 1 - -3. Let n(a) = -a**3 - a**2 - 3*a + 2. Determine n(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 29. Let g be u(-5). Let c(m) = -m + 32. What is the remainder when c(g) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0376 + 0.1468. What is d rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 865517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h. Let q be (h + 3 - -21) + 1. Solve 0*f - 1 = c - f, -4*f = 3*c - q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3660*t = -7353*t + 3646*t + 20 + 27 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(95)*1*-1)\/((sqrt(60)*-2)\/sqrt(12)) + (((sqrt(19) - (sqrt(19) - sqrt(95)\/sqrt(80))) + sqrt(19) + 1)*2)**2)*1.\nAnswer: 21*sqrt(19)\/2 + 471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6270384 divided by 6?\nAnswer: -1045064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0461 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -18 (c) 0.5 (d) 7204 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41937367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4*i = -17, -2*s - 2*i = -1 - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 5 = -42*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 1)\/(4\/(-430)). Let n = x - 94. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (-13 + (-9 - (10 + -8 + -25)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((78\/(-24))\/(-13) + (-47)\/(-8)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c1c - -9?\nAnswer: c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8179\/1637 + 2 + -7. Let a = 67207\/24555 + c. Calculate the common denominator of -33\/35 and a.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92074000 rounded to the nearest one million?\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/(-540) + (-2)\/12?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, 103, -8, 2.\nAnswer: -9, -8, 0, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5, -3*x + 17 = x - j. Suppose -3*k + 4*k = -3*d - 3, -x*d + k = 9. List the prime factors of (-4)\/(-8) - 11\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -507\/5, -4, 2\/7, -1\/58 in ascending order.\nAnswer: -507\/5, -4, -1\/58, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = -2*z, -h + 2*z = z - 2. Let o(r) = -r - r**3 - 5 + 4 - 2*r - h*r**2. What is the units digit of o(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**4 + k**3 + 2*k**2 - 1. Let s(l) = -152*l**3 + 434*l**2 - 434*l + 146. Let q(d) = -2*o(d) - s(d). Suppose q(a) = 0. What is a?\nAnswer: 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1144 - 1144. Which is the closest to q? (a) -2\/3 (b) 10 (c) 0.04 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n + 20. Let j(u) = -39*u + 38. Let p(r) = -r + 1. Let q(z) = -j(z) - p(z). Let w(m) = 2*q(m) + 5*s(m). Differentiate w(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3702*a + 48070. Give z(13).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000010101110 - -11111001001?\nAnswer: 10000100001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1851, -1834, -1813, -1794, -1783, -1786?\n\"Answer: -p**3 + 8*p**2 - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711187 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*n - 12, -3*c - 2*c = -4*n - 18. Let i be -156 + (1 + -55)\/(-6). Which is bigger: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 10:47 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 38 + (-19 - -32).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1269.26\nAnswer: 6346.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 39*h - 243. Let x be w(8). Let y(j) = 13*j + 19. Does 29 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + ((-126)\/2 - 12\/4). Let y = d - -71. Suppose -y*b = 3*w - 3*b - 627, -5*w + 1063 = -4*b. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 83*b = 324, -5*f + 4*b - 691 = -695 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030065 rounded to six decimal places?\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 8*d**2 + 17*d + 63. What is j(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 232*z**2 - 686*z - 48. Determine n(229).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 415.2 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18081211 is divided by 821864?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + f)*(4 + 3*f**4 - 4) + f**5 + 5*f**5 + f**5 + (-2*f - 2*f**5 + 2*f - 2*f)*(1 + 2 - 2).\nAnswer: -f**5 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5914234, -11828461, -17742688, -23656915?\nAnswer: -29571142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/119 - -3753\/595. Suppose -12\/5*m**2 - 16\/5 - g*m + 8\/5*m**3 + 4\/5*m**4 = 0. Calculate m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 + 5 = 0. Let s = 12 - 12. Suppose -15 = -5*l - s*l. What is the remainder when j is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235485, -470958, -706433, -941910, -1177389, -1412870, -1648353?\nAnswer: -1883838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108642553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476 by 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 684398539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 67568*w**4 - 608400*w**3 + 608776*w**2 + 5745740*w - 10140600 = 0 for w.\nAnswer: -16901, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-22 - 9) - (-1 - -16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 123. Suppose 0*r - 10*r = -40. Which is the fourth smallest value? (a) -1 (b) r (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (66 - 56) + -6 + -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**2 + w - 2*w - 2 + 0*w + (w - 4*w + 5*w)*(-w - w + 0*w).\nAnswer: 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from xhhhxfmpxhmhhxhdd.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-59)\/28 + 28\/112\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - n**2 - n - 1. Let m be -7*-3*10\/35. Suppose 8*s - 10*s = m, b + 2*s + 7 = 0. What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -17. Let l be (1\/3)\/((-2)\/g). Let x(h) = -h**2 - 4*h + 3. Is x(l) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256*d - 256*d + 13*d**3)*(-d - 3 + 3 + (d - 6*d + 3*d)*(-1 - 1 + 1) - 19 + 19 - 3*d + 2 - d - 2).\nAnswer: -39*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*j + 1298, 981 = 7*w - 4*w - 4*j. Calculate the smallest common multiple of 2 and w.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.95 + 0.05. Let h = -5517 + 5508. Which is the biggest value? (a) 2 (b) o (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*n + 180*n + 130*n - 101*n + 2 + 174*n in the form x + m*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133337 + 13181 = 3534*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (16 - 61 - -21).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 644210420 a multiple of 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/5040 - v**5\/30 + v**2. Let u(d) be the third derivative of a(d). Let r(o) = 4*o - 10*o + 2*o. Calculate r(u(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4306\/11117 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d - 19 - 12 = 1. Sort 292, 1, d in decreasing order.\nAnswer: 292, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2 - 7)*(0 + 2 - 4)*(4*u - 5*u + 2*u) in the form a + q*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -108 and 62261846.\nAnswer: 62261738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 1507 = -0*m + 12268. Solve m - 609 = 12*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = -p. Suppose v - 83 = -8*d, 27*d - 26*d = 4*v + 31. Solve 0 = 3*i - p*y + 6, 0*i + 4*y - d = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/13244 and 29\/644.\nAnswer: 304612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 45 = 2*m + 65, 0 = 5*m + 4*i - 65 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/13320 and -119\/14652?\nAnswer: 146520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278 or 27351\/98?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*g = 9 + 8, 4*g = -12. Let u(a) be the second derivative of 2\/9*a**2 - 1\/27*a**3 - 1\/54*a**4 + 0 - i*a. What is d in u(d) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 - 2*y**2 + 2*y**2)*(-4 + 5 + 1)*(9*y - 2*y - 62*y) to j + x*y**3 + u*y + z*y**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 325e09 (base 15) to base 4\nAnswer: 21021302301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264.6442854 - 0.3916146. Let w = -266 - t. Let k = 0.96 + w. What is k rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -518 + 547. Let s = -38 + 75. Let i = s - k. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3 + 2\/3*l + 1\/3*l**2.\nAnswer: (l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 9*o + 87*o**2 + 88*o**2 - 22 + 85*o**2 - 261*o**2 + o. Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-0.3501\nAnswer: -0.073521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**4 - 76*m**3 + 168*m**2 - 144*m + 32.\nAnswer: 4*(m - 2)**3*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -15*q**4\/4 + 16*q**3 + 1041*q**2\/2 - 210*q - 6341. Factor j(r).\nAnswer: -3*(r - 10)*(r + 7)*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-33)*(-342)\/57?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -112493, -2, 3 in descending order.\nAnswer: 8, 3, -2, -112493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1079a3 + -1042?\nAnswer: -108a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 2*g + g + (-1 + 3 - 4)*(-g + 3*g + g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141385 + 83287 + 399861 = 8640*n + 106133 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 15. Suppose 4*t + 2 = 14. Calculate the remainder when t is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**2 - 2*s**2 + 0*s**2)*(288 - 104 - 118 + 19*s - 171).\nAnswer: 76*s**3 - 420*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 40*v + 8. Let r be w(-10). Solve -3*u + 10 = o, 0*o + r = 3*u - o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345823 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5529 + -5527. What is the closest to 2\/3 in -70, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+100013\nAnswer: 100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15621717?\nAnswer: 3, 5207239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l**2 - 40*l**2 + 16*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 41 + 38)*(128*j - 7394 + 7394).\nAnswer: 6528*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)*n\/((n*n*n**(-12\/5)*n)\/n))\/(n\/n**4*n)**17 assuming n is positive.\nAnswer: n**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184852127 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 - 106534?\nAnswer: -110054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*q**3*x**3 + 2*q**3 - 11*q**2*x**2 - 28*q*x**3 + 11*q*x + x**3 + x wrt q.\nAnswer: -432*q*x**3 + 12*q - 22*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 29*k + 2. Let c(l) = -5*l**2 + 145*l + 11. What is 22*a(h) - 4*c(h)?\nAnswer: -2*h**2 + 58*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41013401 is divided by 166046.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 4*i, 4*u = -3*i - 0*u + 1. Put -3, -2, i in increasing order.\nAnswer: -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 at most -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*3*4\/(-24). Suppose -2*h + y - 4 - 1 = b, 0 = 5*h + 3*y - 15. Solve h = 3*z + 12, k = 2*k + 4*z + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 8*u**3 - 42*u**2 + 8*u + 56.\nAnswer: 2*(u - 2)**2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89384822 to the nearest integer?\nAnswer: 9454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52209, -104393, -156547, -208665, -260741?\n\"Answer: w**3 + 9*w**2 - 52218*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 10. Let s = 16 + u. What is s rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75153488 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0373 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.99 - -30.69. Let i be ((-1)\/(-5))\/(12\/(-30)). Is h at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 - 3*r**2 + 2*r. Let y(f) = -463*f - 70779. Calculate the smallest common multiple of y(-153) and a(2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. Let h(g) = 3*g**2 - 3*g + 1. Is h(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369)\/(-204) + 17*(-350)\/3400.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2475\/(-1800))\/((-44)\/(-8)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 10 - 10)*(7 + 45*j + 40*j - 3*j)*(-2*j**2 + 4*j**2 - 4*j**2).\nAnswer: -984*j**4 - 84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784437\/195 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-10))\/((-2)\/10). Suppose -2*u - 36 = 3*m, 4*m + o*u + 52 = -0*m. Let c(b) = -b**2 - 10*b + 1. Let x be c(m). Solve -x = -2*w + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5. Suppose 2*l + 0*l - 6 = c. Let d(y) = -l*y + 2*y + 3*y. Let x(g) = -3*g. Give d(x(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 85, 351, 799, 1429, 2241, 3235, 4411?\n\"Answer: 91*f**2 - 7*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6365?\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, j: 2, a: 5}. Give prob of picking 1 j and 1 n.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293955 is divided by 1441?\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -128*b + 129*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0193026895 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148685 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a - 37334 = 27471. List the prime factors of a.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43374, -43371, -43368, -43365, -43362, -43359?\n\"Answer: 3*t - 43377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.4704 nanograms in micrograms?\nAnswer: 0.4644704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5137 (base 15) to base 16.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4394570 divided by 7778.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.661? (a) -15\/8 (b) -2\/9 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 6789460239.951.\nAnswer: 6789460239.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -83. Let x = 39 - h. Suppose 2*q = 6*q - 16, 3*s + x*q = 206. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064546 - 140*p**3 - 16*p**3 + 1064546.\nAnswer: -156*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-17 - -16) - 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 82*k**2 + 4*k + 3. Let s be r(-2). Suppose 0 = -3*d + 15, 2*u + 2*u - 5*d = s. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2253, -2259, -2269, -2283, -2301, -2323, -2349?\nAnswer: -2379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49)\/14 + 6\/4. Let i = x + 7. Find the third derivative of -2*b**2 - 2*b**i + b**5 - b**5 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -55. Let n = 1.5 - 1.5. Which is the closest to y? (a) 0.22 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let r(h) = h**3 - 12*h**2 + 11*h + 1. Let a be r(11). Solve q*o - a = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44735.\nAnswer: 5, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20485*h - 14 = 20486*h - 2*c, 0 = -5*h - 12*c + 40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12064386675*h**2 + 664335540*h + 9145548 = 0.\nAnswer: -1746\/63415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6630008 and 3788576.\nAnswer: 26520032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1104*w + 4*w**4 - 2 - 3*w**4 - 2*w**2 - 8*w**3 + 1103*w to f*w**2 + o + y*w**4 + c*w + j*w**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -132264?\nAnswer: 132300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151468643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of -1 - ((-4)\/(-3 + 5) - 2279)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 252, -0.2, 210?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*k - c, -k + 0*c = 2*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -240 + (-203 - -78 - -226).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(475))**2*3.\nAnswer: -540*sqrt(19) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 + -221. Calculate the greatest common divisor of 55 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 966 is divided by 163.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(56)\/sqrt(4) - sqrt(14))\/sqrt(7))**2 + sqrt(14)\/(sqrt(847)*-1).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 373649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 4. What is the remainder when 44 - (-1 + -3 + t) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2268008\/28 - (-2)\/(-7). Suppose m = 5*y - 4*y. What is y rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**5 + 215*q**4 - 690*q**3 - 560*q**2 = 0. Calculate q.\nAnswer: -2\/3, 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + i = 2, -13*n - 8 = -14*n - 4*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(((n*n*n*((n\/n**(2\/13))\/n*n)\/n)\/n)\/n))\/(n\/(((n*n**(-2\/5))\/n*n)\/n)))\/(n**(-2\/11)\/n**0))**(-8))**(9\/2) assuming n is positive.\nAnswer: n**(27396\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 69*u**2 + 69*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 10453*y + 870996.\nAnswer: (y + 84)*(y + 10369)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, -4, 2, 200 in increasing order.\nAnswer: -4, -1, 2, 21, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**3)\/z**(-3)*(z*z\/z**(-8)*z)\/(z*z*z*z**15))**(-25\/6) assuming z is positive.\nAnswer: z**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1151621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a factor of 1644408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 - -368. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 202?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -91718 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 151415.798 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 26. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2121380 is divided by 151526?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3)*(-868 + 9*y + 868) + (-10 + 2 + 27)*(-y - 4 - 4 + 7) in the form o + g*y and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiss when four letters picked without replacement from {i: 2, v: 3, s: 2, k: 9}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, 0.1, -0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and 4244.18?\nAnswer: 89127.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*g + 582, -3*l + 265 = -5*g - 697. Let c = 109 - g. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630848506.\nAnswer: 2, 53, 5951401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 + 9*r - 162. Let f(i) = -1761*i. Determine f(h(q)).\nAnswer: 8805*q**2 - 15849*q + 285282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o + 24. Let p be d(-12). Let i = -24 - p. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -20.958. What is d rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -100*w + 189. Calculate the remainder when o(-7) is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - v**2 + 6*v**2 - 2*v**2 - 2*v**2 + (3*v - 6*v + 0*v)*(-v + 6*v - 2*v) to the form q*v**2 + b + m*v and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(847) + -1 + 0)*4)**2 + 2.\nAnswer: -3168*sqrt(7) + 122114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-930)\/75 - (-8 - 70\/(-14))\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let i(l) be the second derivative of -13*l**4\/12 - 2*l - 1. Calculate i(w(g)).\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 28 = -890. Let d = 42 - n. Let z(r) = -3*r - 13. What is z(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -k - 2*k + 43, 4*o + 4*k = -36. Let n be o\/25 - (-28)\/20. Let a = -209\/7 + 30. Is n <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 w when three letters picked without replacement from {m: 1, l: 2, w: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) - 7495\/(-25). Suppose 2*u - 8*u = -r. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 1155 = 9*y. Suppose 0 = -4*z + 7*z - y. Let p = z + -51. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhd when three letters picked without replacement from {d: 8, h: 4, z: 5}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7 + 1. Let s(r) = r**3 - 3*r**2 - 4*r + 4. Let u be s(o). Suppose 25 = -2*c - 5*q, 3*c - 2*c = u*q + 20. Solve 0*b - g = b - 2, c = -g - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 47627.12 millimeters?\nAnswer: 0.04762712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -65*s**4\/2 - 8075*s**3\/2 + 15580*s**2 - 12830*s - 3840 = 0?\nAnswer: -128, -3\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 times -9?\nAnswer: -10251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 55.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14420 and 56.\nAnswer: 28840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.67 - 1.33. Let a = 85.3 + m. Put -3\/7, a, -3 in ascending order.\nAnswer: -3, -3\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3*i**4\/4 - i**3\/3 + i**2 - i + 2675. Let n(s) = -s**3 - s**2 - 1. Calculate b(j) - n(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 709 and -1222.597051?\nAnswer: 1931.597051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -522221*d**2 - 2*d - 5. Let m be r(3). What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 4*y + 2*y**4 - 56*y**4 - 309*y**4 - 82*y**4 + (-5 + 2*y + 5)*(4*y**2 - 3*y**3 - 4*y**2).\nAnswer: -451*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340188 is divided by 369.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548319741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o - 18. Let m = o - -8. Sort -9\/4, m, -0.3 in increasing order.\nAnswer: -9\/4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 - 25*p**4 - 40*p**3 - 20*p**2.\nAnswer: -5*p**2*(p + 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 3*u + 4*u - u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 40 = -8*l. Suppose 0 = -5*g - 2*i + 90, -l*g - 2*i - 3*i + 105 = 0. Let c be 0 + 39 + 4\/(g\/12). Calculate the greatest common divisor of c and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 470.9865l to millilitres.\nAnswer: 470986.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/7 and -73\/3213?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300394*b**2*l**2 + 3*b*l**2 + 8991*b*l + 7*b wrt b.\nAnswer: -600788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsf when three letters picked without replacement from {s: 5, t: 2, f: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3402 is divided by 676.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 19. Let a be 12*(-2)\/v - 4. Find the second derivative of -3*u**4 - 12*u**4 + 9*u**a - 10*u wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7 + 9 - 4*m**2 - 3*m + 11*m**2. Suppose -54 = -3*q + 3*a, -22*q + 4*a + 79 = -17*q. What is w(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101*63739\nAnswer: 6437639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -32. Solve 3*w - 2*l = -6*l + q, 5*w - 4*l + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -698 + -0.48.\nAnswer: -698.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 t when three letters picked without replacement from {t: 7, g: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(-x + 2*x - 2*x) + x**2 + 0*x**2 + 2*x**2 + 0 + 2*x**2 - 5*x**2 + 2.\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -4. Let s be 12\/v + 23\/5. Is 67*(-2)\/s*2*-1 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 5465*c**4 + 673*c**2*y**2 - 5791885*c + 3*y**2 wrt c.\nAnswer: 65580*c**2 + 1346*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 6*q**3 + 5*q**2\/2 + 13*q + 17. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*f**3\/5 - 3978*f**2\/5 - 3284*f\/5 + 6 = 0 for f.\nAnswer: -5, -1, 3\/332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*w**2 - 4*w**3 - 88*w**2 + 47*w**2 + 2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 2398.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23034222?\nAnswer: 2, 3, 1279679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.026\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 111000101?\nAnswer: -110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 20, 10 + 11 = -7*a + 11*a - 5*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)\/sqrt(11))**2 - ((sqrt(27)\/(sqrt(36)\/sqrt(4) + sqrt(9)))**2 + sqrt(3)).\nAnswer: -sqrt(3) + 297\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 15*g + 4. Let z be m(-15). Suppose -11*f = -z*f - 1253. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + (sqrt(1331) - sqrt(1331)*-3) + sqrt(1331) + 4*(sqrt(1331) + 2))*6)**2.\nAnswer: 99792*sqrt(11) + 3888252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377590?\nAnswer: 2, 5, 61, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418 = 262*h + 368 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1 - 35*r**2 + 2*r - 27*r**2 + 0*r + 57*r**2 - 21*r**2. Determine t(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y - 35. Let b be j(0). Let u = 9 - b. Suppose u = 2*r - 52. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 2*c - 19, 4*d + 257*c = 256*c - 32 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112297 to 3 dps.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/7 + 21712*b**2\/7 - 1288090*b\/7 - 1309800\/7 = 0. Calculate b.\nAnswer: -10915, -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 2, -3 in ascending order.\nAnswer: -3, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7608545?\nAnswer: 5, 7, 217387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 (base 11) in base 10?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 71 + 67 - 18 = 0. Solve 3*k + s*n = 15, -10 = -164*k + 160*k + n for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -51*208\/(-884)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 + 12200?\nAnswer: 12323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 10)) + -4 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a3987a (base 12) to base 11\nAnswer: 14a3963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3 + -13. Let y = o - 0.2. Which is smaller: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4354.\nAnswer: 2, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -33*d**2\/7 + 8126277*d\/7 + 1477506\/7 = 0.\nAnswer: -2\/11, 246251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 14) to base 3.\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6795 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 - 7*z**2\/2 - 4*z - 122. Determine h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from ppxppppppxpppxp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582 = d + 574 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 3*n + 3. Calculate z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/2 (b) -3\/4 (c) -388 (d) -5 (e) -2\/59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 252 = 0. Let o = -249 + f. Solve 0*w + o*w - 2*x = -2, -4*x = 3*w - 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y + 30. Calculate g(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2. Let x(c) = 49*c + 15. Let w(z) = 6419*z + 1960. Let l(f) = -3*w(f) + 392*x(f). Calculate i(l(j)).\nAnswer: -4802*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 + 160*y**2 - 160*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112d - 1?\nAnswer: -112e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(-1 + -5 + -3*(sqrt(1088) + -2))**2*-5.\nAnswer: -1175040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + 64. Let y be v(-31). Solve -3 + 4 = p + h, -2*p + y*h = 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let t(x) = x**3 + 11*x**2 + x + 11. Let p be t(-11). Suppose -8*y + 4*y - 16 = p. List the prime factors of q(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 18 = 2*a, -t - 6 = 34*a - 33*a. Let s(x) = -95*x**3 - 5*x**2 - 14*x - 23. Is s(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u. Let f(y) = 493688*y. Calculate r(f(d)).\nAnswer: 987376*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 273.035 times 4?\nAnswer: 1092.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*j - 22 = -2*j, -j = 4*n - 22. Let w be (156\/(-4))\/3 + 27 + -10. Solve -l - n = -w*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 98?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4555 and -0.045.\nAnswer: 204.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1304 (base 12) to base 9.\nAnswer: -2864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:57 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0295 times -0.1\nAnswer: -0.00295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10282 take away -91?\nAnswer: 91.10282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 4*c - 2. Let v(o) = 1 + 4*o - 2*o - 3*o. Let g(d) = m(d) + 2*v(d). Determine g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) -1513 (c) 2\/2975\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 232 = -2*f, -5*k + 3*f + 350 = -37. Let b(j) = 2*j - 5. Let c be b(4). What is the greatest common factor of c and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -125 - 15. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Solve 0 = d - h*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 9:15 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (4 + 3 + -144 + 161)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2172, -2173, -2174, -2175, -2176?\n\"Answer: -o - 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 10. Suppose -n - 5*j + 20 = 0, -v*n + 5*j = -0*j - 40. Calculate the least common multiple of n and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102850915.\nAnswer: 5, 20570183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = -102*c + 342 - 68. Let 12\/7*g - 1\/7*g**3 - 9\/7*g**c + 20\/7 = 0. What is g?\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1\/448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 29*p + 3. Let d(m) = -2*m**2 + 59*m + 7. Calculate 3*d(s) - 7*v(s).\nAnswer: s**2 - 26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + s + 0*s - s**3 + 10*s**2 to the form f*s**2 + j*s**3 + q + v*s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*2)\/(-2) + 1. Suppose -k*a - 4*y + 105 = -5*y, 82 = 3*a - 4*y. What is the highest common divisor of a and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*a - 2. Let q be a - (-3)\/((-9)\/(-4500003)). Round q to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1433 - 3 - (-10)\/5. Let i = 2811\/2 - a. Find the common denominator of i and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*o - 8*o = -9, -9 = 3*g - 2*o. Sort 0, -4, g, 12 in increasing order.\nAnswer: -4, g, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-4) - (-45)\/(-30). Let y = -37 + 68. Suppose 5*b = -v*u - 1, -u - 3*b - y = -3*u. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 216?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -53146 (base 8) to base 9\nAnswer: -33305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2. Suppose 3*q + 3*b = 0, -4*b = -5*q + 7 + 11. Let w(t) be the second derivative of 1\/12*t**4 - 3*t + 0 + 0*t**q + 0*t**3. Give w(s(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 9.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 13 = -5*b. Let n be b*-15*(-10)\/(-15). Let g = -16 + n. Solve 3*a - g = o, -2*o - 4 + 6 = -a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 6*c**2 - 12*c**2)*(0 + 0 + 2*c**2).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8788.147 milliseconds in microseconds?\nAnswer: 8788147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114, -312, -656, -1146, -1782?\n\"Answer: -73*q**2 + 21*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*f**3 - 15 + 20*f - f**3 - 7 + 44*f**2 + 14.\nAnswer: 4*(f + 1)*(f + 2)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3*78\/65)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/(h*((((h*h\/((h\/h**(-13))\/h*h))\/h)\/h)\/h)\/h))\/h*h)\/h)**41\/(h\/(h\/(h*h\/(h\/(h\/h**(-14))))*h*h))**(-2\/11))**(-3\/5) assuming h is positive.\nAnswer: h**(-21732\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from hcccchhscs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 4028?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 - 5*c**2 + 3324*c - 13 - 3318*c - 2*c**3. Let a = 3 + 29. Calculate the remainder when o(6) is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -15 - 27) + (-2 - (3 + -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(9\/(-54))*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -c7f6e?\nAnswer: -c7f5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3933 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*z + 158*z - 2986 - 1190 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -1\/4, 1, -5\/6, -69966, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591 = v - 6*v - 1353*h + 1342*h, -h = 56 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 <= 0.304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjjcjzjccj. What is prob of picking 2 j and 1 c?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 3*l. Let k be h(-4). Suppose 5*p = -2*y + 4*y - 14, 4 = -2*y - 4*p. Suppose 0 = 7*f - y*f + 15, 12 = -u - 4*f. Solve -5*q = -u + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-3) - (-185*10\/(-150) + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.28, 3, -3, 0.06, -7\/6, 1\/5 in descending order.\nAnswer: 3, 1\/5, 0.06, -7\/6, -1.28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgh when four letters picked without replacement from gggyjhhjajrhhj.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let g(c) = 4802*c. Give q(g(r)).\nAnswer: 4802*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.42 from -0.09112.\nAnswer: -0.51112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -339*o - 19. Let t(k) = -344*k - 27. Determine -5*c(j) + 4*t(j).\nAnswer: 319*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-32 - (-46 - -12)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 338*a + 2304. What is the hundreds digit of s(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -4093.\nAnswer: -5\/4093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15972 and 7986?\nAnswer: 15972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6233 rounded to 2 dps?\nAnswer: 6.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -19 + (14 - (24 + 19)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002836681643 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 0.3, -0.4, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-56)\/16)\/((-12)\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-36) + 189\/20 and 19\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124340380 divided by -12434038?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-1) - (-4 + 1)*358 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, x: 11, t: 4}. What is prob of sequence mmmt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1314, -3.4, 103 in increasing order.\nAnswer: -3.4, 14, 103, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 108. Which is the nearest to -1\/3? (a) -44\/7 (b) v (c) 5 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 89469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208263 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 g(z) be the first derivative of -z**7\/7 - z**4\/2 - z - 4. Let d(w) be the first derivative of g(w). What is the third derivative of d(n) wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -24, -35?\n\"Answer: -11*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(125) + sqrt(125) + (1 + sqrt(320) + sqrt(320))*-5 + 4)**2.\nAnswer: 560*sqrt(5) + 24516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0229 + 0.1229. What is the biggest value in -2\/33, -10, -2\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w**2 - w**2 - w + 2*w**2. Let y be r(-2). Solve -y*h + 8 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 9*l**2 - 6*l + 9. Give d(7).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52 + 0.02. Let m = 1.6 + -1.74. Let k = r + m. Which is the nearest to k? (a) -0.1 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 15. Let i be q(-9). Suppose -i*v + v = -195. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (0\/(-6) - -6). Suppose 5*o + 17 + 8 = 0. Let x be (0 - a - 1)*o\/10. Calculate the highest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*55\/22)\/20\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79606, 159200, 238778, 318334, 397862, 477356, 556810?\nAnswer: 636218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -1\/2*w**2 - 3*w - 74. Determine s(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*r + 7 - 42, 5*i - 11 = -r. What is the third derivative of -r + 8 - 17*u**3 - 2 - 3*u**2 wrt u?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 851.53 or -8?\nAnswer: 851.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 0*(-2 - -1). Let n be a\/4 - 38\/(-8). Let i(h) = -5*h + 10*h - 4*h. What is i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(14\/5)\/(n**(2\/5)\/(n\/n**(3\/2)))*((n\/(n\/(n**(2\/7)*n)))\/n**(-5))\/((n\/n**(2\/3))\/n**(-1\/4)) assuming n is positive.\nAnswer: n**(841\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 11*k + 39. Let r be i(0). Put r, 3, -5 in decreasing order.\nAnswer: r, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 180, 601, 1420, 2769?\n\"Answer: 22*q**3 + q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70265 from 0.\nAnswer: -70265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -311797.501?\nAnswer: -311793.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 11.6533.\nAnswer: 69.9198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.347 + 0.053. Let n = 41 - d. Let u = 2.4 - 2. What is the nearest to 1 in n, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 115\nAnswer: -4\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 2*v**2 + 1. Let n be 45\/27 - (-2)\/6. Let x be 2\/(-2) + n + 1. What is the remainder when 98 is divided by l(x)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**2\/2 - 2. Let g(o) be the second derivative of o**4\/6 + 5*o**3\/6 + o**2 + 3*o. Determine -g(h) - 5*k(h).\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 90948018885630 + 0?\nAnswer: 90948018885630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/8 + (-6)\/16. Suppose 0 = a + 4*a. Let t be a - -4 - 2\/1. What is the nearest to q in t, -3\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/17698 and 76\/3.\nAnswer: 53094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5 - 13*a + 28*a + 3 - 3. What are the prime factors of p(5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/12 + (126899\/(-54) - -3). Let j = k - -4699\/2. What is the common denominator of 82\/21 and j?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 82278961.\nAnswer: 82278964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 4. Calculate p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b**3 - 6*b**2 + 6*b**2)*(-6*b + 3 + 7*b - 20).\nAnswer: 11*b**4 - 187*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**2\/2 + 2*p - 1. Give x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 2948039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*k**2 + 59*k**2 + 2*k**2 + 235*k**2)*(k**2 + 3*k**2 - k**2).\nAnswer: 720*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-16*(-96)\/256*(-1)\/20).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 103 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304369 is divided by 101437.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-3*(-3)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -7 + 348\/6 - 2 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -331 + 1556. Let s be ((-146)\/1)\/((-7)\/i*7). Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxb when four letters picked without replacement from {k: 2, m: 2, b: 2, x: 3, s: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 309 and 0.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9*p - 28 = 0. What is the third derivative of -121*u**2 - 288*u**3 + 150*u**3 - 2*u**5 + p + 149*u**3 + 0 wrt u?\nAnswer: -120*u**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1140 and 3\/2660?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/2 - (-61 + 80). Let r be (-5 - -3)\/(-2) - -1. What is the nearest to 2\/9 in p, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 - 8*s + 2. Let t be d(7). Which is the nearest to -1\/3? (a) 3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 61. Suppose -14*c + 12*c = -h. What is the greatest common divisor of 160 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6057979*v. Let q(x) = 3*x**2. Give w(q(p)).\nAnswer: -18173937*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.7 - -20.7. Let w = q - 14.4. Let o = 2\/61 - -92\/915. What is the second smallest value in 4, w, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 - -12) + 1 + 1*-16. Let m(j) = -120*j + 61. Is m(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.511 to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 + -2.3\nAnswer: -1.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 12*i + 4*z = 41, 0 = 4*i + z - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 3*y + 461 - 152*y**2 - 461 to the form n*y + o*y**2 + j and give o.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**4\/8 - 5*r**3\/6 - 11*r**2. Let t(x) = 2*x - 2. Let m = 141 - 143. Let g(j) = m*z(j) + 5*t(j). Determine g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/66024 and -115\/5472?\nAnswer: 5017824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 109 - 349 = 0. Solve -3*h + 9 = 2*t - 2*h, 0 = 5*t + h - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378 + 46 - m + 168 + 164.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/2 + 2994110*b - 89823525\/2 = 0?\nAnswer: -5988235, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -37*l**2 + 3*l + 2. Let s(h) = -72*h**2 + 7*h + 5. Let p(d) = -5*m(d) + 2*s(d). Determine p(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2 - 6 = -3*u, -5*u = -2*g + 4. Let c be 2\/8 - (-26)\/(-8). Is (446 - u)\/(c + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -22220031?\nAnswer: -22213300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24)*15)\/(14*(-9)\/(-252))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 2 - 2)*(3 + 0 - 4) + (114 - 9 + 134 + 2*i)*(1 + 2 - 4) to j*i + o and give o.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -75*v + 38. Let o be 19\/(-4) + 24\/(-96). Is h(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3904 and 151149216.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.41 - 22.31. What is the nearest to -0.2 in 1, 2\/5, 0.7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283253\/24 - -11798. Calculate the common denominator of i and ((-292)\/8 + -1)\/(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 4*f + 1 - f. Suppose 8 + 27 = -5*m. Let b = m + 11. Determine d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -892*d*j**3*s + 2*d*j**3 + 46*d*j**2*s - 67*d*j*s + 2*d*s - 27*j**3*s + 24*j wrt j?\nAnswer: -5352*d*s + 12*d - 162*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-22)*((-106)\/12 - 72\/144)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28148119.\nAnswer: 89, 316271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:48 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:49 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161657 = 10*l - 89793. List the prime factors of l.\nAnswer: 5, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (52\/(-20))\/1. What is the nearest to -2\/7 in h, 4\/5, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 134085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/41)\/(n*((n**(1\/19)*n)\/n)\/n*n*n)*n\/(((n**(-7\/4)\/n)\/n)\/n)*n**16 assuming n is positive.\nAnswer: n**(61453\/3116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060584337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26201464.4227 and -0.1?\nAnswer: 26201464.3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c*y**2 + 17*c*y + 281*c - 275834*y**2 + 5*y with respect to c.\nAnswer: -7*y**2 + 17*y + 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let a be k(9). Let y = a - 11. Let n be -2 - -3 - ((-21)\/7 + -3). Sort n, -5, y in decreasing order.\nAnswer: n, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -145*v - 2789. Determine f(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13126 greater than -13074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -30*z - 56. Let p be b(-6). Suppose 100 - p = -6*u. Solve 10 = 2*s + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 691, 731, 797, 889, 1007, 1151, 1321?\n\"Answer: 13*f**2 + f + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423280169?\nAnswer: 13, 31, 1050323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 2, 4 in descending order.\nAnswer: 5, 4, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232 (base 7) to base 16.\nAnswer: 1d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -62)\/6 - 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 163*p**4\/6 - 194*p**3\/3 - 2*p**2 - 2*p. What is the first derivative of y(c) wrt c?\nAnswer: 652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.037 - 4.963. Suppose -t + 2*j + 2 = 0, -2*t + 6*t + 3*j = -14. What is the nearest to t in 0.3, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 2, t: 1, a: 2, d: 1}. Give prob of sequence tax.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10220 and 183904?\nAnswer: 67124960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*l**2 + 43*d*l + 22*d - l**2 wrt l.\nAnswer: 4*d*l + 43*d - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 3*i. Let h(w) be the third derivative of w**6\/120 - w**5\/30 - w**4\/24 + w**2. Let n be h(2). Which is the closest to i? (a) n (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401996378 to the power of 1\/2, to the nearest integer?\nAnswer: 20050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3615019, -3615024, -3615029, -3615034?\n\"Answer: -5*g - 3615014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -645.\nAnswer: 29\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/727? (a) 5 (b) -2 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(3\/2)*m))**(-2\/3)*(m**(4\/7))**44 assuming m is positive.\nAnswer: m**(563\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58269671 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 33*h**2 + 130*h + 791. What is j(-36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/9 + 12178*s**3\/3 + 255856*s**2\/9 - 121816*s\/3 - 584768\/9 = 0. Calculate s.\nAnswer: -8, -1, 2, 18274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - ((-6)\/8 - (-9)\/(-36)). Suppose -u - 3*d + 6*d = -16, -4*u = -y*d - 64. Calculate the highest common factor of 112 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Let o be 13\/((-26)\/(-264))*-1 - 1. Let k = o - -136. Solve x + 0*w - s*w = k, -x + 1 = -2*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/66*(-3)\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 0 + 40*r + 1 + 9*r.\nAnswer: 32*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1671*a*l*y**2 + 306*a*o*y**2 + 4*l*o*y**2 + 65*l*y**2 + o*y**2 - 2*o*y + 57*o + 2*y with respect to a.\nAnswer: -1671*l*y**2 + 306*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:07 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64661551 to the power of 1\/2, to the nearest integer?\nAnswer: 8041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 0.02 (c) -5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67209734 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*b**3 - 806*b - 812*b - 807*b + 2425*b.\nAnswer: 398*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1004 + 6025\/6. What is the common denominator of i and 2\/60*134 + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 11*c**2 + 9*c - 14. Let h be j(-12). Is -1 + (-18)\/(-22) + 30562\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10589835 divided by 3529945?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 44 = 2*d, 3*l + 2*d = d - 43. Let z = -5 + 28. Let k = z + l. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16744 - -81744. Round a to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*y**5 + 150*y**4 - 10438*y**2 + 1 wrt y?\nAnswer: -2580*y**2 + 3600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8585*l**2 + 8211 wrt l?\nAnswer: 17170*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 2, -3, 60 in ascending order.\nAnswer: -3, 0.9, 2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*n**3 + 224*n**3 - 79*n**3 + 6*n**2 - 76*n**3 + n**2 + 30*n to the form m + j*n**3 + t*n + u*n**2 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57865.63nm in kilometers?\nAnswer: 0.00000005786563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**4 - 2. Let v(c) = -1 + 4*c**3 - 2*c**4 - 4*c**3. Let h(f) = 4*d(f) - 5*v(f). What is the first derivative of h(x) wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.5 - 2.5. Let q = -154 - -138.6. Let g = q + l. What is the second biggest value in -2\/15, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 10*u + 5. Let l be s(8). Let q(a) = a**2 - 3*a - 3. Let t be q(4). Solve 4*w + t - l = -4*r, -5*w + 4*r = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 170 + -140. Suppose -7*r + x = -12*r. Let u(z) = 2*z - 9. Let q(f) = -f + 5. What is r*u(n) - 11*q(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322 + -1?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.86102 months in decades?\nAnswer: 0.1655085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96 - -7 - 53) + -12.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7733215.\nAnswer: 5, 7, 17, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 166044*r**2 - 332100*r - 166052.\nAnswer: 4*(r - 41513)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 1)*(-3 - 3 + 3)*(-1135*a - 4087*a + 1011*a - 228*a - 1792*a) to the form w + n*a and give n.\nAnswer: 56079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/12 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:36 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 22. Calculate the highest common factor of 114 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 7.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61 * -0.0303815.\nAnswer: -1.8532715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + y)*(-13*y - 74*y - 140*y).\nAnswer: 227*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k + 243. Calculate the remainder when 1849 is divided by l(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -11) + 6 + -7 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123470, 246954, 370444, 493940, 617442, 740950?\nAnswer: 864464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104, 151, 198, 245, 292?\n\"Answer: 47*d + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**2 + 4*m - 3. Suppose 2*t + 2 = 3*t. Let x be z(t). Suppose 0*o + 4*o - 199 = -5*i, i + 2*o = x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i + 4*h - 10 = 0, 5*h - 11 = 3*i. Solve i*s = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 12158 + 12158.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**5*j**7)**3\/((j\/j**(2\/7)*j*j)**(3\/17))**(-2\/43) assuming j is positive.\nAnswer: j**(46167\/5117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.34, -0.4, -1\/2, -1\/4, 4 in decreasing order.\nAnswer: 4, 3.34, -1\/4, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 16\/(-6))*(-6)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 125*t - 860. Calculate x(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 + 4 = d + 3*z, 3*d - 4*z = -370. Let k = d - -127. Solve -2 = -s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13.67. Let v = t - 0.66874. Round v to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1450, 0.4, 4, 6\/11, -0.2 in ascending order.\nAnswer: -0.2, 0.4, 6\/11, 4, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 56 - 183 - 49 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12510 * 9\nAnswer: 112590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121365 (base 7) to base 2\nAnswer: 101011010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 65. Suppose m*r - 71 = -17. Suppose l + q = r + 118, 3*q = -2*l + 272. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -95, -300, -701, -1364, -2355, -3740?\nAnswer: -5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/7)\/(x**(-5)*x)*(x**(-2\/3))**47)\/(x\/x**10*x\/x**(1\/2))**39 assuming x is positive.\nAnswer: x**(12751\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/71424424593*(-1300225435603)\/(-180). Let l = f - -5\/10293187. Let u = l + 31\/1285. Calculate the common denominator of u and 97\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:52 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20455?\nAnswer: 5, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2588 + -2584. Solve g*x + 5*a = 6*a, 16 = -4*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.478 - -0.922. Let c = -12 + 10.6. Let n = c + f. Put -2, n, 4 in decreasing order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 70761216\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/(-6))\/((-2)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2219 + 1739 = 0. Calculate the highest common divisor of 1044 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f. Let a be 2 + 3*(5 + 0). Suppose 15*p + 22 - 112 = 0. Let m(y) = p + y - a + 11. Determine m(x(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -11740\nAnswer: -39\/11740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 33*a + 1695 - 75 = 0. What is the closest to -0.5 in -2\/3, -0.2, 6\/11, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -15. Suppose -x = -l - 5. Suppose 40 = -l*b + 4*b. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/13 + 145274*l\/13 - 3340244\/13 = 0. Calculate l.\nAnswer: 23, 72614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7386 + 8853?\nAnswer: 16239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjjd when four letters picked without replacement from edzjjd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9\/78)\/(3\/4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339 - 130. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239780 = 5188*c + 71500 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252) + 1*sqrt(252) + sqrt(252) - sqrt(252)*3*-5)**2 + 0 + -1.\nAnswer: 432*sqrt(7) + 81651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 14300.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:48 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1276128 and -1.\nAnswer: -1276128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 1 (c) -1\/3 (d) 246\/11 (e) -256\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9342777 to the power of 1\/2, to the nearest integer?\nAnswer: 3057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 188, -7 in descending order.\nAnswer: 188, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ciccciic.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355978246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**7\/42 - 5*h**3\/3 + 2*h - 8. Let z(k) be the first derivative of n(k). Find the second derivative of z(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-26\/9)\/(h**(-3\/4)*h*h**(-1\/5)))**(-40) assuming h is positive.\nAnswer: h**(-1022\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63*(1953\/637 - 3). Put s, 6, 3\/4 in ascending order.\nAnswer: 3\/4, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 2. Let c be k(0). Find the common denominator of -1 and (c\/8)\/((-15)\/(-276)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 635635 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/1*((-21)\/84)\/1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h**2 - 57*h + 7. Give r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/120 - b**5\/40 + b**4\/6 - 40*b**3\/3 - 6*b**2 + 3. Let n(j) be the first derivative of y(j). What is n(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 6*y**2 + 3*y. Let m be r(6). Let t be 36\/162 - (-356)\/m. Suppose -t = 24*v - 29*v. What is the remainder when 15 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/6*(0 - 6). Suppose -4*p + 46 + a = 0. Let d(v) = -558*v + 565. Let y be d(1). Solve -2*k = y - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*b*l**2 - 46560*b*l - 1420*l**2 - 3076*l - 3 wrt b.\nAnswer: 24*l**2 - 46560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268 + -2411\/9. Let v(r) be the second derivative of 0*r**2 - 4\/45*r**6 + 1\/5*r**5 + 1\/63*r**7 + o*r**3 + r + 0 - 2\/9*r**4. Suppose v(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/873 and 20\/207289.\nAnswer: 1865601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13314*m - 13309*m + 50 = 5*j, -40 = 5*m - 3*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*a**3 + 63322*a**2 + 32792331?\nAnswer: -96*a**2 + 126644*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 56 = -44 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3 - 3)*(-382*p**3 - 549*p**2 + 549*p**2 + (p - 2 + 2)*(2*p**2 - 5 + 5)).\nAnswer: 380*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 3*o)*(1 - 1 + 2)*(-11 + 16 + 3)*(3 + 0 - 2 + (4 - 3 - 2)*(-7 + 3 + 3)) in the form w*o + v and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**3 - 44*k - 10*k - 2*k**2 + 49*k.\nAnswer: 35*k**3 - 2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 15, 41, 101, 207?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 658 - 672 = 0. Let k(a) = 9*a**2 + 5. Let l(x) = 5*x**2 + 2. What is b*k(n) - 5*l(n)?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 3*m + 43. Let y be q(-8). Find the third derivative of 40*b**y + 408 + 405 - 813 + 17*b**2 wrt b.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbxqkzh. What is prob of sequence hx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 354524130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 24*l + 5. Let m be y(-5). Does 20 divide 884\/22 + m\/495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 0*v - v**2 + (-5*v + v + 2*v)*(-v + v - v) - v + v + 2*v**2 + 4*v**2 - 3*v**2 + v**2 + 10 + 8*v**2 - 10 in the form i + j*v + c*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -123742?\nAnswer: -123742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, w: 5, r: 1, o: 2}. What is prob of picking 2 w and 1 n?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h**2. Let i(c) be the first derivative of -c**6\/180 - 2*c**3 - 3. Let f(y) be the third derivative of i(y). Give f(t(k)).\nAnswer: -288*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**2 + 9*i + 0 + 1\/42*i**7 - 1\/20*i**5 - 1\/30*i**6 + 0*i**3 + 1\/12*i**4. Factor h(u).\nAnswer: u**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11228178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10196116001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -37. Does 13 divide (-8430)\/(-36) + s*2\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*r + 15*r**3 + 15*r - 9*r**2 + 9*r**2 wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 607880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Suppose i = q*m + 13, -5*i - 4*m - 3 = -2*m. Suppose -10 = 4*j - 2*v, 10 = 2*j + v + 3*v. Is j > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 1. Let b be t(-1). Solve c + 0 = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 255 + 2305 = 4*o, 4*p = o - 640. Let t be ((-384)\/(-3))\/(0 - -22 - 1060\/53). Calculate the highest common divisor of o and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 32 - 7. Solve 2*x - h - 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/5 + 15438*d\/5 - 16528832\/5.\nAnswer: 2*(d - 953)*(d + 8672)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000076122366 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*r + 12439 = 0, -12 = -10*r + 14*r. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 5, 3\/7, -0.7, -580?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/42)\/((-2)\/102). Let b(z) = x - 34 - 107*z. Let g(l) = l. What is g(b(w))?\nAnswer: -107*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*p - 318846, -31*w + 29*w - 3*p + 637653 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 13) + 8 + 40 + -16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 6, j: 6, d: 1, z: 1}. Give prob of picking 1 j and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.44495 rounded to 1 decimal place?\nAnswer: -120.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**4 - 4*d**4 - 2*d**2 - 2*d**3 - 70 + 71 - 6*d**2 + 3*d as g*d**2 + j + f*d + s*d**4 + u*d**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/180*x**6 + 2\/9*x**4 - 4\/9*x**3 + 0 + 0*x - 1\/18*x**5 - 142*x**2. Factor s(p).\nAnswer: 2*(p - 2)**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 + -9) - (0 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 5, p: 5}. Give prob of picking 2 o.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-5)\/10 - -4. Suppose -4*g = 12, i + 13 = -b*g - 3*g. Solve 0 = 2*l + i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pete when four letters picked without replacement from {p: 4, r: 1, e: 5, h: 4, y: 4, t: 2}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 62 = -2*q, 0 = 5*q - q + 3*i - 144. Suppose q = 5*z - 22. Let r = -3 + z. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 11*r**2 + 11*r - 5. Let s be n(10). Suppose 3*a - 6 = -3*u, 5*u - s*a = 3 + 17. Solve u*m = 2*w - m - 22, -4 = w + m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984826753 a multiple of 6835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/98 and -26\/77.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 9, b: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.109 + 0.291. What is the fourth biggest value in 0, 0.5, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.33 + -0.312. Let b = 0.318 - r. Suppose 2*q - 7*q = -20. What is the nearest to -0.3 in b, q, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 28*d - 10 = 0. Let l be (d\/25)\/1*(-5)\/4. Is l <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1242 and 149\/102.\nAnswer: 21114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u**2 - 4*u + 2. Let t be g(-5). Let b = -52 + t. Suppose b = 2*p + l + 2, -p + 14 = -l. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 1 + 6*v**2 - 6.\nAnswer: 7*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + 2*j - 4. Let s be (4 + 2 + -6)\/(-1). Suppose -3*v + k - 8 = s, -k - k = 2*v. Let p(x) = -26*x**2 + 11*x - 21. What is v*p(m) + 11*z(m)?\nAnswer: -3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*(160\/(-4))\/(-4). What is the third derivative of -27*k**2 - 12*k**2 + g*k**5 + 27*k**2 wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25440 is divided by 2529?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5166 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8127 from -1602325883.\nAnswer: -1602334010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let s be w(5). Suppose 0 = -f - 2*g - 10, -2*f = 2*g + g + s. Suppose -3*l + 26 = 4*z + 9, 0 = -2*z - l + 7. Solve f = -z*d - 5 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-12) - 2\/3. Let d(a) = 5*a + 9*a**2 - 1 - 2*a + 0. Is d(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -417941\/5 in 0.2, 9, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2428377 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2*d*d*d)\/d)**(-3)*(d**1)**(-50))**14 assuming d is positive.\nAnswer: d**(-868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14235 is divided by 226?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15984 and 12432.\nAnswer: 111888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 - 3.23. Let m = 14.3 + -8.47. Let v = x + m. What is the second smallest value in v, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1455011, -2910025, -4365039, -5820053, -7275067, -8730081?\nAnswer: -10185095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053476 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 4859*d + 48578. Give r(-10).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 54 = -3*h, 0 = -2*h + 2*n - 6 - 10. Let v be -34*2*(12 + h). Is 21 a factor of v\/5*5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 26 + 96)*(27 - 27 - 3*u**2)*(-5*u + u + 0*u).\nAnswer: 2100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*s - 195502*j - 28*s - 5652 with respect to j.\nAnswer: 2*j*s - 195502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -47852.4 to the nearest one hundred.\nAnswer: -47900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 1, k: 2, v: 1, u: 2, c: 1}. Give prob of sequence kv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + (-198374)\/(-3053) - (-604)\/11180.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20192, 20216, 20250, 20300, 20372, 20472?\nAnswer: 20606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 1.19.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1072*v - 4176 = -1075*v + 5760. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-1)\/(5 - 1)). Let z be -35*(390\/(-50) - -8). Let r(k) = k**2 + 3*k - 24. Let a be r(z). Solve -a*b = -4*t - l, 3*t + t - 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s + 2. Let q(d) = -d**3 - d**2 + 5*d + 2. Let w be q(-3). Let a be w\/(-15)*(-3 + 9). What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 2*j + 19, 5*j + 22 = -4*f. Which is the biggest value? (a) 4 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.363 and -0.2?\nAnswer: 0.0726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-487)\/2)\/(2\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2596 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12112201 (base 3) in base 2?\nAnswer: -111111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5676 and 0.04?\nAnswer: -227.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 10 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1 + 4)*1.\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 6058b0?\nAnswer: -6058b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + sqrt(132)*-1*3) - sqrt(132))\/(sqrt(12) - sqrt(192)*-4) - (1 + -1*1*sqrt(704)*4).\nAnswer: -1 + 546*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.214 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 - 329325*g**2 + 3952299*g - 3622971 = 0.\nAnswer: -109787, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u*u**(-9)*u))**(6\/37)*u\/((u*u**7)\/u)*u**(-16) assuming u is positive.\nAnswer: u**(-766\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.8 - 21. Suppose p - 1 - 4 = 0. Which is the third biggest value? (a) p (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 q when three letters picked without replacement from {j: 2, n: 6, q: 2, l: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -966 * 0.15\nAnswer: -144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 1, i: 3, t: 6, v: 1, n: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 25*w + 100. Let m be c(-24). Solve m*h - 384 = 12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 97227?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2185.9*-1\nAnswer: -2185.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1\/4 (c) 3 (d) -164\/3 (e) 0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -5 + -18 - 30\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = 2 - 6, 101*k - 96*k = -q - 31 + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134 and 16?\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -0.06. Let v = 0.01 - h. Let d be (-12)\/(-14)*7\/(-21). Which is the third smallest value? (a) -0.3 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -20, 0 = -3*d + 3*n - 6*n - 18. Let g = -59 - -42. Let r = d - g. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5*5)\/(1 - 2). Let d = 63 + p. Let z = -32 + d. Calculate the least common multiple of z and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -125*f - 6. Let t(v) = -43*v - 2. What is 11*t(p) - 4*x(p)?\nAnswer: 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0 + 0*y + 1\/40*y**6 + 0*y**3 + 0*y**5 - 2*y**2 - 1\/4*y**4. Find the second derivative of t(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 4123724620881.\nAnswer: 4123724620881.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2*o + 0*o**3 + 9\/4*o**4 - 1 + 27\/2*o**2. Find the first derivative of q(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.0926 times -0.3\nAnswer: 4.82778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*m + 651 - 646, -4*k - m = 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 21*c**2 + 33*c + 34. Let z be q(18). Is z <= -345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + 13. Suppose 4*w = 3*i - s, -i + 5*w + 3 + 13 = 0. Let k(z) = -z**3 + 12*z**2 - 9*z - 10. What is the tens digit of k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2142*y**2 - 24*y + 49. List the prime factors of x(3).\nAnswer: 5, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1456, -1453, -1448, -1441, -1432?\n\"Answer: y**2 - 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + -0.23. Let o = 0.078 - s. Round o to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 104681, 104677, 104673, 104669?\n\"Answer: -4*c + 104685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 706 - 2101. Let g = -965 - y. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496985.28 rounded to the nearest 10000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 - 6*m**3 + 24*m - 12*m**2 + 3*m**5 + 8 + 6*m**4 - 21*m = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3. Let v = 0.03 - 0.33. Suppose 2 = -5*l + 3*q - 1, 0 = -2*l + 5*q + 14. Which is the closest to k? (a) l (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*8*(-1)\/(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 48*p + 201. What is c(-45)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s + 2 = 0. Let p = 34 + s. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55565 (base 7) to base 3.\nAnswer: 201012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 divided by -11?\nAnswer: -1083\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 2*j + 5. Let v be g(-4). Let b(x) = -3*x**2 - 55*x + 41. Let d be b(v). Solve t + d*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16971 - -16973. Suppose 2*a + 25 = 7*a. Solve j*l = a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24*(231\/(-22))\/(-21))\/(21\/(-28))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8692 = -389*b + 6326 + 15152 + 11721 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13033310 (base 4) to base 13\nAnswer: 10685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9362741 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -96*t**2. Let b(i) = -470683*i. Calculate c(b(y)).\nAnswer: -21268078702944*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-629271)\/397815*(-5)\/29?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, 22, 115, 302, 613?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 259334 and -0.70469.\nAnswer: 259333.29531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.82755333 rounded to one dp?\nAnswer: 55.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (5 + -1) - (340\/(-12))\/5. Factor 4 + 14\/3*o + m*o**2.\nAnswer: 2*(o + 1)*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 11*z**2 - 12*z + 3. Let n be q(12). Are 13\/4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -5. Let n = 43 - 43. Solve k*a + 7 + 6 = -2*d, 2*a + 4*d + 6 = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 not equal to 509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 23*h + 3*h + (0 + 3 - 2)*(-2*h + h + 3*h) to the form l + x*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*j**2 - 198*j**2 - 194*j**2 - 196*j**2 - 19*j + 785*j**2 + 3 as v + l*j**2 + p*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04638 plus 2066?\nAnswer: 2065.95362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4 + 4020*u**3 + 1027832*u**2 + 8888304*u - 9920160 = 0 for u.\nAnswer: -498, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28533 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1041.5 - -1041. Which is the third biggest value? (a) m (b) -0.1 (c) 2.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.758227 litres?\nAnswer: 758.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2411 = -20*c - 711. What is the remainder when 3482 is divided by c?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8901 and 13840066?\nAnswer: 124560594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(1900) + -4)**2.\nAnswer: -140*sqrt(19) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(405))*-3 + -5.\nAnswer: -27*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 2. Suppose -3 = -2*g + 9. Suppose b = -3*b - 5*t + g, -22 = -h*b + 5*t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769279 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*j - 5 + 0*j + (0 + 3 + 0)*(5 - 6*j - 5))*(-1 + 1 - 3*j).\nAnswer: 66*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1972 times 0.26\nAnswer: -512.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65970 is divided by 503.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11284134 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206239 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 13*m**2 - 4*m + 8. Suppose -3*x + 12 + 18 = 0. Let o be h(x). Suppose 2*w + 2*w - o = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4680*q + 101*q - 4785*q.\nAnswer: -4*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:34 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*u = -154*u. Let c be ((-6)\/(-15))\/(1\/10). Solve j + u*j + c = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 210 = -q + 3*q, 0 = q - 2*f - 102. Does 54 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/24 - (15\/(-18) - 0). What is the smallest value in -7, x, 2\/31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1328.81 and -4.25443465.\nAnswer: 1324.55556535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 3632670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -311 - -774. Let g be ((-30)\/(-9))\/((-2)\/(-3)). Suppose -g*s - 3*b + y = 192, -s + 2*b = -62. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and -6*((-4)\/(-22) - 966\/2772).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8680 is divided by 7928?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 2*n**2 + 3*n**2 + (-n**2 - 2*n**2 + 0*n**2)*(6 - 3 + 0).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 times 2\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -855 greater than or equal to -4269\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-7)\/(-21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -255 and -1.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -37018, -20, -4, 1.\nAnswer: -37018, -20, -14, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147193679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 11*t + 39 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 56*j + 2965. What is the thousands digit of o(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42375*s - 5 - 10596*s - 10593*s - 10597*s + 4 - 10593*s.\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13724, 13724, 13718, 13700, 13664, 13604, 13514, 13388?\n\"Answer: -o**3 + 3*o**2 - 2*o + 13724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*832212.\nAnswer: 2496636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)*j\/(j**1\/j))\/(j\/j**(-3\/2)*j*j**(2\/19)*j*j))\/(j**(-3\/2)*((j**(-1)*j)\/j)\/j*j**8\/(j*j**(-5\/6)*j)) assuming j is positive.\nAnswer: j**(-289\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 82997?\nAnswer: -1\/82997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/10*(-535)\/40)\/1 and 101\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 73 + 73)*(3*b - 3*b + 2*b**2)*(1 - 3 + 1)*(b + b + 0*b).\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 12418248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*b**5 + 4*b**5 + 60*b**5 + (-3*b**2 + 2*b**2 + 3*b**2)*(-1 + 1 - 2*b**3) - b**2 + b**2 + 2*b**5.\nAnswer: 140*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 17*s + 5. Suppose -14*f + 17*f - 51 = 0. Let a be n(f). Calculate the remainder when (((-84)\/a)\/(-1))\/((-26)\/(-260)) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 3:59 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-1 + (-9)\/(-3)). Suppose -2*q + k*q = -y + 28, 5*q = 0. What is the remainder when 91 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 319\/(-33)*((-9)\/(-15))\/(5\/(-25)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 - 63*h**2 + 480*h - 944 = 0 for h.\nAnswer: 4, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 82*t**2\/5 - 18376*t\/5 + 72128\/5.\nAnswer: (t - 98)*(t - 4)*(t + 184)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9348114 and 65\/8664?\nAnswer: 710456664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27952205?\nAnswer: 5, 37, 139, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -82, -161, -264, -385, -518, -657, -796?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6925046?\nAnswer: 2, 3462523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyj when three letters picked without replacement from djdoyjob?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, m: 3}. What is prob of sequence mf?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 23639, -4, 4 in decreasing order.\nAnswer: 23639, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1820 + 4357. What is the greatest common divisor of a and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*l**2 + 1 + 131*l**2 - 19 + 16.\nAnswer: -200*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 964299*c - 23983*c + 28169 + 131079601*c**4 - 2209 + 63702236*c**3 + 2601 + 11609286*c**2.\nAnswer: (107*c + 13)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 186 = -6. What is the greatest common factor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*n - 842 = -2*d, -2*d - n + 416 = 0. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -77*w - 502. Let h be q(-8). What is the greatest common factor of 912 and h?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 0\/(3 + 1). Suppose 2*y = 7 - 3. Suppose -2 = -2*z + y*c, -5*z + 5*c + 1 = -2*z. Is j > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - x + 14 = 0, 52*n - 56*n + 3*x + 21 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20302031 + 0?\nAnswer: -20302031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/634 and -83\/10.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = -5*k. Factor 0 + 9\/4*d**k + 3\/4*d.\nAnswer: 3*d*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.147 - -1.14223. What is l rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11573 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8393)\/763*(-4)\/(-198)*(-3)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*k - 83*k + 2*w = -13, 0 = -3*k - 3*w + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 105*k - 32. Give f(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4814, 9629, 14446, 19265?\n\"Answer: a**2 + 4812*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.29, 2\/3 in descending order.\nAnswer: 2\/3, -0.29, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 7) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*f - 199 = -7983 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -19. Let i = -8 - k. Which is smaller: -0.3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2. Suppose 4*n + 4*f - 8 = -0*f, 3*f + 6 = 3*n. Let p(d) = 0*d**2 + d**2 - 2*d**n + 0*d**2. What is p(k(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15491 is divided by 1191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79634*l**2 - 159312*l**2 + 53*l**3 + 79657*l**2 - 1.\nAnswer: 53*l**3 - 21*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 39*d**2 + d - 34. Let c be o(-41). Is c smaller than -3437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166308499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15356527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.39 and 3.\nAnswer: -13.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3402977\/66 + 51562. Find the common denominator of -115\/182 and x.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1, -48, 5 in descending order.\nAnswer: 5, -1, -27, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**4 + 3*r**4 - 2*r**4 + (0*r + 0*r - r)*(r**3 + 0*r**3 + 3*r**3) to k*r**2 + o*r**4 + q + p*r**3 + m*r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n**2 + 2*n + 2. Calculate y(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2. Let b be y(2). Suppose m + 4 + 7 = 5*v, v + 2*m = 0. Let g be (b\/4)\/(1\/v). Which is greater: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:10 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 1. Let d be l(2). Let a = d - 1. Suppose -a*b = -b - 1. What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9 - 32*u - 9*u**2 + 14*u + 9*u + 12*u + u**3 + 6*u. Let o = 29 + -21. Calculate k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t - 3*t)*(2*t**2 + 0*t + 0*t)*(-t - 4*t + t).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {j: 2, a: 1, b: 4, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-222)\/(-2) - (91 - 99). Let a be 118 + -1 - (1 + -2). Differentiate 0*u**2 - a + g - 4*u**2 wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.15745ml in litres?\nAnswer: 0.06615745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s. Let j(r) = -12*r - 4. Let k(p) = -j(p) - 5*w(p). Let i = 10597 - 10592. Give k(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -23\/20, -1, 37, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96765.66 kilometers to micrometers.\nAnswer: 96765660000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, 3745, -1\/3, 2\/7, 2\/3, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/77760 and -167\/37260?\nAnswer: 1788480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y**2 + 3 - 6 - 5*y. Let n be 5 + (6\/3 - 3). What is the units digit of i(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/5827 and 7\/46616?\nAnswer: 46616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 101221?\nAnswer: -102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1492677 and 4761.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 7, 2370, -2\/5, 2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*h**2 + 2050*h**2 - 1020*h**2 + 6*h**3.\nAnswer: 6*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14978*b**2 + 14972*b**2 + 14968*b**2 - 44917*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9217.112 litres?\nAnswer: 9217112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by 4.\nAnswer: -141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40163951 to the power of 1\/2, to the nearest integer?\nAnswer: 6338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.055 + 1.945. Put h, 59, -2, -0.1 in increasing order.\nAnswer: -2, -0.1, h, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2\/3, -3, 0.04, 22, -0.2 in decreasing order.\nAnswer: 22, 6, 2\/3, 0.04, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674049 is divided by 1812?\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23758, 23757, 23756, 23755, 23754, 23753?\n\"Answer: -p + 23759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549868 divided by -4?\nAnswer: -137467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -103, -9, -1 in increasing order.\nAnswer: -103, -9, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c - c + (2 - 1 - 2)*(-374 + 9*c**2 + 374) + 5*c**2 - 3*c**2 - c**2 - 2*c**2 + c**2 + 2*c**2 + (-c - 3*c + 2*c)*(4*c - 4*c - c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (-4*sqrt(4)\/sqrt(2) - (3 + sqrt(6)\/sqrt(3)))**2).\nAnswer: -126 - 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = 4*o. Let w be -2 + o - 15\/(-3). Is -1 - (-1)\/(w\/254) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785.965968 rounded to the nearest ten?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 20866 - 10441 + 7*x**2 - 10425. Let k(w) = -471*w**2 - 3. Determine a(k(z)).\nAnswer: 1552887*z**4 + 19782*z**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 89 + -68 + 17\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 33\/2*m**2 + 17*m - 1\/2*m**3 + 0 = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/205956 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - (6 + -22)) + -15 + 12?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 33 = -5*u, g - 4 = -g. Suppose -u*c = 6*c - 39. Suppose 0 = -2*q - 2*q + 132. Calculate the greatest common divisor of q and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzffz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**3 + 6*v**2 - 76. Let p(k) = 6*k**3 + 5*k**2 - 76. What is -5*o(n) + 6*p(n)?\nAnswer: n**3 - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (68 + -39 - 32)*1\/(-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 65.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(130) + sqrt(130)*-2) - sqrt(130)) + (-1*sqrt(130) + sqrt(130))*4)\/((5*sqrt(120)*-1)\/(1*sqrt(192))).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1144)\/(-260) - (-16)\/10) + (-180)\/35.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-11 + -2 - (418 - 521)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, 0, 6, 14?\n\"Answer: w**2 + w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.1 - 0.1. Let w = z - 23. Which is the closest to -2\/9? (a) -1 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 30 + (-9 + 13 - 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*s = -168*s - 458*s + 46958714. Calculate the remainder when s is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14*a = 55. Suppose 3*w - 40 = 7*w. Calculate the smallest common multiple of 4\/w - 96\/(-15) and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.12 + 0.12. What is the closest to -6 in -0.2, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbh when three letters picked without replacement from {l: 1, d: 2, h: 1, t: 1, j: 1, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**4 + 19*c**3 - 5*c. Let h(y) = -6*y**4 + 18*y**3 - 6*y - 1. Let a(i) = 4*h(i) - 5*r(i). What is the second derivative of a(f) wrt f?\nAnswer: 12*f**2 - 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 + 19*i**2 - 10*i**2 - i + 2 - 9*i**2 + i**2 to x*i**3 + t + v*i**2 + p*i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(525))*3)\/(sqrt(6)\/(sqrt(2) - sqrt(50))).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 46*w = 35. Let y be 12\/(-10)*10\/(-3). Sort -1, y, w in decreasing order.\nAnswer: w, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/15 + 2\/(-3). Suppose 0 = -s*g + 3*q - 676065, 0*q + 540852 = -4*g - 2*q. Let j = g - 864787. Round j to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 40*y + 2. Let v be c(-20). Let s(f) = -f**3 - 2713*f**v - 3 + 4*f + 5*f + 2707*f**2. List the prime factors of s(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 19, 0.67, 0.01 in ascending order.\nAnswer: -135, 0.01, 0.67, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86aca33 - 0?\nAnswer: -86aca33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125189 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 66*n - 661. Let u be p(10). Let f be 18*3*(-40)\/(-6). What are the prime factors of u\/((-3)\/f*2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250.871021 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918958164?\nAnswer: 2, 3, 73, 1049039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-128)*-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9273360)\/(-64))\/15 - 6\/8?\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -46 + -9 + -1 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4781 or 2219?\nAnswer: 2219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 443613907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13057628 < -13057628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (276*k - 490*k + 444*k)*(-1 + 2 + 0)*(-4 - 2 + 5) in the form g + c*k and give c.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Let n = -3 + 6. Let t = 1.2 + -1. What is the closest to n in 2, k, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*q = -14, 0 = -0*y + 3*y - 5*q - 42. Sort 41, y, 3 in increasing order.\nAnswer: 3, y, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*d = -6, 2*d = -3*u + 2 + 4. Solve u = -4*r + 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-12 - (-10 + 12 + -4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27873 - 15218. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42863453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20773759, 20773768, 20773777?\nAnswer: 20773786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 9*t**2 - 5*t + 71. What is n(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4564310 (base 7) to base 16.\nAnswer: 8b4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7*w + 3 = 4*q, -4*w - 3*q + 7 = 0. Let a be (1*-1 - -1) + -1. Sort w, 5, a.\nAnswer: a, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 449344 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-38)\/5)\/(4\/(-10)). Suppose 0 = -y + t + 11. Suppose 5*a = 3*r + 2*a - 144, 4*a = -r + 33. Calculate the highest common factor of r and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.093939707 - -44.094. What is b rounded to seven dps?\nAnswer: 0.0000603","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, g: 3, y: 2, z: 3, u: 1}. Give prob of sequence rz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -6.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3876, -3910, -3970, -4068, -4216, -4426, -4710, -5080?\n\"Answer: -2*w**3 - w**2 - 17*w - 3856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 26. Let r be l + (-6)\/(-2 + -1). Let i = -61 - r. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*v - 38 - 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4619, 12, 0, -24, 0.4 in decreasing order.\nAnswer: 4619, 12, 0.4, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/(-1)*(-5166)\/3444.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 635 + -9511\/15. Let j(h) = -h**2 - 7*h + 82. Let z be j(-13). Suppose s*p - 2\/15*p**5 - 4\/5*p**3 - 4\/15*p**2 - 2\/5 + 2\/3*p**z = 0. Calculate p.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:19 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.357 - 0.157. What is the closest to 2.8 in -0.1, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2, -0.4, -4, 5\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 8*x**2 - 8*x - 5. Let i be c(-7). Suppose -i*n + 36 = -12. Suppose -3*g + 2*f + n = 0, -2*g = 3*g + 2*f - 24. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.15 + -0.15. What is the nearest to 3 in n, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2392\/39*141\/(-188)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 636\/19*x - 2\/19*x**2 - 634\/19.\nAnswer: -2*(x - 317)*(x - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*((y**34*y)\/y)\/y))**11 assuming y is positive.\nAnswer: y**(-363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5334798 and 86478?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 237 - 75. Suppose q + 2*v = 9, 3*q + q - 24 = 4*v. Let l be ((-2)\/5)\/(q\/(-315)). What is the highest common factor of c and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(3*z**5 + z**2 - z**2) + (-6*z**3 + 4*z**3 + 3*z**3)*(5*z**2 + 2*z**2 - 5*z**2).\nAnswer: 8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Suppose q - 5*j + 46 = 5*q, -5*q - g*j + 55 = 0. Suppose -q = 3*z - 6*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 8*z - 134 + 69.\nAnswer: -8*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 + 2 + 0) + 18. Suppose 22*w = r*w + 297. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*w + 718*w - 48 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 1 - 8*q**3 + 0 - 4*q + 5*q**3 to p*q**2 + x*q**3 + j + b*q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + ((-4 - 0) + 3 - -10) - -30\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*x - 23. Suppose x*m = 239 + 612. Is m > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/84 - (-22553)\/(-14244)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*0\/(-5). Let q(p) = -p**3 - p**2 - p + 26. List the prime factors of q(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1811, 1807, 1813, 1835, 1879, 1951, 2057, 2203?\n\"Answer: t**3 - t**2 - 8*t + 1819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 729613195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1681 + -923. Suppose -5*v + i = -a, 2*a + 610 = 7*v - 3*v. Suppose -4*z + 3*p = -173, -2*z + 5*z - v = -2*p. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**2. Let c(j) = 8*j + 14. Let x be c(-2). Let h(u) = 10*u**2 - 7*u. Let b(w) = 3*w**2 - 2*w. Let m(l) = x*h(l) + 7*b(l). Calculate m(t(q)).\nAnswer: 64*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10360\/148 - 4 - 9.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10783621?\nAnswer: 19, 29, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -11*i**5\/2 + i**4\/12 - i**3\/3 - 3*i**2\/2 - 39*i. What is the remainder when k(-1) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24552 divided by 558\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2616\/5 greater than -523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(34\/144). Let t = x + 236\/119. Find r, given that -t*r + 2\/7 + 2\/7*r**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d**3 - 3*d**3)*(7*d**2 + 5*d**2 + 0*d**2).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070509133 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 144\/30*(-76)\/6. Let p = 62 + v. What is the third smallest value in 2\/3, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t**(-2\/27))\/t)**6*(t**14)**(-1\/38) assuming t is positive.\nAnswer: t**(1913\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 2*s - 4. Give u(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 21528?\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 252 + -711. Is 1\/(3\/o*-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 268*w - 266*w + 3 - 124*w**2 + 10*w**2 wrt w?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54, 40, 26, 12, -2, -16?\n\"Answer: -14*d + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 13791775862608*i**4 - 124154241629640*i**3 + 254349095988*i**2 - 173708678*i + 39546 = 0.\nAnswer: 13\/19034, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anlnnlmndmnn. Give prob of sequence nd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a484c9 - 5?\nAnswer: 1a484c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*n**3 + n**2 - 9*n**2 + 4*n**2 + 5*n**2 + 241*n**3.\nAnswer: 69*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/5*i**2 + 0 + 2\/5*i = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-88) - 4\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 2.1615555.\nAnswer: -2.8384445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 3*j**7\/28 - 49*j**6\/20 + 801*j**5\/40 - 567*j**4\/8 + 257*j**3\/2 - 126*j**2 + 3385*j. Find v such that h(v) = 0.\nAnswer: 1, 4\/3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3727775, 14911099, 33549971, 59644391, 93194359, 134199875, 182660939?\nAnswer: 238577551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6)\/d)\/d)**(-5\/3)*d**(3\/8)*d**3 assuming d is positive.\nAnswer: d**(503\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Let a(n) = 9 - l*n + 4*n + 3. Give a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1154, 2302, 3448, 4592, 5734?\nAnswer: 6874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 18, -13, 0.5, -1.4 in decreasing order.\nAnswer: 18, 17, 3, 0.5, -1.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51252594*a**4 - 21975057 with respect to a.\nAnswer: 205010376*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 2 + 2*t**2 - 2*t + t. Let x = 1 - -2. Let a be y(x). Let m(g) = -6*g**2 - 5*g - 2. Let h(d) = 17*d**2 + 14*d + 6. Calculate a*m(w) + 4*h(w).\nAnswer: 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 11*p + 1068. Let l = -265 - p. List the prime factors of l.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 715.6 - 716. Which is the third smallest value? (a) 83 (b) -4\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13 - (-300)\/24)\/(3\/(-11646))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 264 - 357 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from burooobvboboovobbo. Give prob of picking 1 v, 2 b, and 1 u.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -236087, -472389, -708903, -945629?\n\"Answer: -106*r**2 - 235984*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 78. Let v be g(27). Let o be (-160)\/45 + -2 + -2 + 8. Factor -o - 88\/9*u**2 - 50\/9*u - 14\/3*u**v.\nAnswer: -2*(u + 1)**2*(21*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*u + 4, 4*j + 41 = u - 6*u. Let l = j - -10. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297798789?\nAnswer: 7, 41, 971, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -14 - (-2 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 - 1. Let l(b) = -6*b**3 + 2*b**2 - b + 3. Calculate 2*l(y) + 4*o(y).\nAnswer: -8*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2. Let k(z) = -8*z + 85*z + 273*z - 33*z + 53*z. Determine i(k(a)).\nAnswer: 136900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 105?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5116*h**4 + 71 wrt h?\nAnswer: 20464*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5777910 and -199\/109780290.\nAnswer: 109780290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85007*d**5 - 12605*d + 8.\nAnswer: 1700140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k**2 + 11*k + 17. Let s be y(-5). Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 4*x - 186 = 0. Suppose x*t + 24*t - 60 = 0. Solve 3*k - t = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17847287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2007.23 and 0.2.\nAnswer: 2007.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2*41\/410)\/(19\/209)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + p + 39 = 0, -3 = -g + 5*p. Suppose -o + g = o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19104624 and 7392?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:26 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 772362316*z**3 + 5661*z + 48319 wrt z.\nAnswer: 4634173896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/76 and -13\/24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*k**6 - 98*k**2?\nAnswer: 13560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6 + (1\/(-21))\/(50\/(-875)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43, 1, -3, -2\/17, -2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -61, -15, 91, 275, 555, 949?\n\"Answer: 3*y**3 + 3*y**2 - 26*y - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-7) + (7752\/(-266) - -29). Solve -3*r - 4 = 2*f, -m*r - 15 = -5*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-2) + 1\/(-2). Find the second derivative of -3*w - 2*w**3 + w**3 - 2*w**i + w**3 wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 0.83, -3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -2*m - 6, 5*m + 10 = 5*y. What is the tens digit of 251 - (y + 6 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:06 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4246013*c**3*v**2 - 2*c**3 + 17*c**2 + 2*c*v - 19*v + 62 wrt v?\nAnswer: -8492026*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 11. Let w be z(0). Let j be (2 - 1) + (w - 0). Let d be -5 + 4\/(j\/9). Sort -4, 5, d.\nAnswer: -4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 3*p**2 - 21*p + 7. Let m be d(-10). Suppose g = -t - t + m, 0 = -3*g + 5*t + 2718. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -848, -859, -6, 1711, 4292?\nAnswer: 7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21699866 divided by 2\nAnswer: 10849933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/48 + (10*-1 - (10920\/35)\/(-24))\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/462 and 47\/60060.\nAnswer: 60060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 12\/29 (c) 3 (d) 2 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.3. Let r = -3.7 + l. Let w be 1*-1 + (-6)\/(-4). Sort r, w, -5 in ascending order.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -3\/5 (c) 344\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 + 52)*(-1 - (-44)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1137*q**3 + 3465*q**3 - 1165*q**3 - 1164*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 77745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 111?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 2*j - 2. Let r(d) = d**2 + 5*d - 7. Let c be r(-7). Suppose -c = 4*v - 6*v + 3*o, -4*v + 3 = 5*o. Let p be 6*((-5)\/3 + v). What is i(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*z + 50*z + 53*z - 5*t + 36, -21*z + 189 = 5*t for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (604\/6*-1)\/((-19)\/57).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*(-6)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628930803?\nAnswer: 3, 1433, 146297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -179. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 166*y - 5308. Let s be j(32). Let l(o) = -18*o - 1. Let v be l(-1). Solve -s*d - 10 = -2*z, -3*z = d + d + v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1445837*u**3 - 2*u**2 + 6944591?\nAnswer: -4337511*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4337161922 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5825 - -0.1825. Which is the nearest to -11? (a) 3 (b) 1 (c) z (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 13*y**7\/35 + y**5\/15 + y**3\/2 - 51*y**2. What is the third derivative of m(n) wrt n?\nAnswer: 1872*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*u + 3. Let l be u*1\/2 + 1. Suppose 2*q - 6 = -l. Solve -5*y - 3 = -q*y, -5*y = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4\/3, 3\/185, 61, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(5\/19)\/k)*k)\/k*k*k\/k**(2\/63))\/(k**(3\/32)\/k**(-42)))**(-2\/43) assuming k is positive.\nAnswer: k**(1508743\/823536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 - 3*v**2 + 105*v - 205. What is d(2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585851 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 9*m = -75. Suppose 2*a = 2*k - 34, k + 0*k + 3*a = m. Let c = 32 - k. Calculate the remainder when 25 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*h, 3*b = -0*b + h. Suppose b = -9*j + 8*j. Let d be (-1 - (3 - j)) + 8. Solve -d*c + 0*c + 4 = 4*a, 0 = c + 2*a - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 5511 + 5479 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278461, 2\/11, -7 in increasing order.\nAnswer: -7, 2\/11, 278461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 525457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070\/12*32\/240?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/132 (b) 0.1 (c) -0.4 (d) -3\/8 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.7421202 weeks?\nAnswer: 5.1948414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25851505, -51703019, -77554539, -103406065, -129257597, -155109135?\n\"Answer: -3*o**2 - 25851505*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5574 and 35670813.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h)*(-1 + 2*h + 1 + (h + 6*h + 2*h)*(4 - 2 - 1)).\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 448\/(-77)) + (-280)\/(-88) - -19?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3\/u*u*u*u)\/((u\/(u*u**(1\/2)))\/u*u))\/((u**(-5)\/u)\/(u*u\/(u**(-1\/16)\/u)*u))*((u**(-2\/5)\/u)**(-9\/2))**26 assuming u is positive.\nAnswer: u**(14349\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/11, -0.028, -11, 1, 0.01, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 - 4*h - 2. Let b be (-221)\/39*(1 - 10). Let c = b - 36. Suppose -5*a = -10*a - c. Give o(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*((-416)\/65)\/(-4). Solve 0 = g*l + z, -3*z + 31 = -5*l + 48 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2764 and 5504.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.911 - -0.089. Let m = -0.21 + -1.09. Let d = m - -1. Which is the third smallest value? (a) 0.4 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3282\/17809 + -4\/1619. Let g = -16\/13 - -106\/65. What is the closest to f in g, -8, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3 - 28*h**4 - 2*h**6 - 2586*h**2 - 2656*h**5 + 10383*h**5 - 29*h**4 + 57*h**4 wrt h?\nAnswer: -240*h**3 + 463620*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36429137*x**4 + 9813730*x.\nAnswer: 437149644*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1102*h*k**2*m - h*k**2 + 24826*h*k*m - 6*h*m - 3923*k**2*m - 32*k*m wrt k?\nAnswer: 2204*h*m - 2*h - 7846*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(117) - (sqrt(117) + sqrt(117) + 0)**2) + -2 + -2 + sqrt(117)*-1 + -1*sqrt(117)*6 + -4.\nAnswer: -942 - 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 68*l - 2777. What is n(28)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -386, 2\/11, -240, -0.07?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5265040.16 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)\/w)\/w*w)\/(w\/w**(-14)) assuming w is positive.\nAnswer: w**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -245, -965, -2163, -3839, -5993, -8625, -11735?\n\"Answer: -239*s**2 - 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30000 + -10033?\nAnswer: 13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + a)*(-2*a + 4*a - a)*(-5*a**3 + 2208*a**2 + 2190*a**2 - 4367*a**2).\nAnswer: 25*a**5 - 155*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 25. Let a be q(-12). What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - -37. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*s**3 + 2*s**2 - 1808 with respect to s.\nAnswer: 387*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let n = 200 + -188. Find the second derivative of -18*b**m - 13*b - n*b**2 + 7*b**2 wrt b.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 + 649 = 3*h. Suppose h = -9*s - 794. Let l = s + 137. What is the greatest common factor of 44 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(351\/(-6)) + 9\/(-26). What is the nearest to b in 1\/4, 3, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010011110101000 (base 2) to base 4.\nAnswer: -202132220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124180 and 560.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(210\/21 + (-35)\/4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -d + 5*f + 51, 5*d - 1197 = -4*f. Calculate the remainder when d is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/7 - 970*h**2\/7 - 88771*h\/7 - 220110 = 0.\nAnswer: -870, -77, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178229637.\nAnswer: 3, 1117, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12565 = 2*z, 5*m - 3*m = -z + 8393. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93292.1 + 0.64261\nAnswer: 93292.74261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 51, 56?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -1 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18713*z**2 - 9357*z**2 - 9361*z**2 + 17*z**3.\nAnswer: 17*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:17 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -p + 12, 4*p + 0*h = -5*h + 44. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1 (b) 8 (c) -98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 - 38 = 752*j - 732*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z + 11304*z**2 - 3080*z**3 - 2*z - 11306*z**2)*(-z + 3*z - 3*z).\nAnswer: 3080*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86925 + 4?\nAnswer: -86921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, -1\/27, -14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*h**4 + 918*h**3 + 6476*h**2 - 4410*h.\nAnswer: 2*h*(h + 9)*(h + 49)*(8*h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 66 = 4*n, -5*n + 23 = -4*k - 37. Let t = -13 - -19. Let r be t\/15 - (-4)\/k. Which is smaller: r or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 201 = -c, -5*c - 104 - 141 = -5*g. Suppose 0 = 3*a + 5*i - 55, 5*a - 87 + 27 = -2*i. What is the greatest common factor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/3)\/((-2)\/69). Let d = 1 - i. Calculate the highest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(27) - sqrt(108)\/sqrt(4)) - sqrt(27))*-1*-2*-3)\/(sqrt(36)\/((sqrt(44) - sqrt(176)\/sqrt(4) - sqrt(44))\/sqrt(11))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 728 = -3*i + 403, -5*i - 841 = -3*s. Suppose -3*y = -2*y - s. Suppose -5*h = -5*m + 360, 4*m - y = 2*h - 4*h. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/13 - -35\/52. Let k = -16 + 18. Let v = k + -6. What is the nearest to 0 in v, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 26 - 746 = 0. Let g = 2 - 6. What is the tens digit of (-30)\/g*t\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (130\/(-52))\/(((-3)\/1)\/18). Suppose -31*g + 46 = s. Is 14 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - 4. Suppose 0 = -5*m + 3*c - 0*c + 24, -2*m + 8 = -d*c. What is the smallest common multiple of (6\/8)\/((-2)\/(-24)) and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 139 and 637480549.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193*-0.06636.\nAnswer: 12.80748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140454.816 - -30445.\nAnswer: -110009.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 11*l**2 - 11*l - 19. Let j be b(-5). Let x(v) = 101 + j*v - 104 - v. Calculate x(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/160 - q**4\/24 - 5*q**3\/48 - q**2\/8 - 6*q. Factor i(f).\nAnswer: -(f + 1)**2*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:00 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 50. Suppose 0 = 3*b + 5*w - 10, 7 = -3*b + 5*w + 27. Suppose c = b*q - 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -20 - (6 + -1) - 8) + 23\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 206*n**2 + 8*n - 716. Determine w(103).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -82*k - 21. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/4)\/((-8446)\/33784)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 165. Calculate the highest common divisor of f and 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172137, 344102, 516067, 688032, 859997, 1031962?\nAnswer: 1203927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {q: 3, x: 2, f: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Let t(k) = -10*k**2 - 11*k + 1. Let g(y) = 9*y**2 + 9*y - 1. Let z(v) = 6*g(v) + 5*t(v). Calculate 2*m(w) + 2*z(w).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 276*z - 903. Let u be w(5). Let b = 54 + -1. What is the highest common factor of u and b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 10. Let l be j(5). Suppose l*f + 3*f + 32 = 5*x, 5*f = -5*x. Solve d - x = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -11, -8, -1, 10, 25, 44?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 119 - 91 = 0. Let r be (0 - -3) + b\/8. Let n be 1 + 3\/(-3) + -2. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5516628 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006425 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 592 = -2*q - 534, 3*v - 4*q + 6 = 0. Put v, 52, 2 in decreasing order.\nAnswer: 52, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 2*k - 347 = 521. Calculate the remainder when k is divided by (-2)\/(-3) + (-26)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -4945?\nAnswer: 4944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - f + 2, -4*s = 5*f + 5 - 15. Suppose -5*i + 25 = -s*i. Solve i*a - 16 = r, -4*r = 5*a - 6*r - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14251*m = 14302*m - 153 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5943459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 18. What is the closest to -4 in 0.2, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 88. Let x be q(-13). Let i(t) = t**3 + 12*t**2 + 10*t + 21. Let s be i(x). What is the highest common factor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 85*w - 220. Give k(88).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + (sqrt(567) - sqrt(567)*2)))**2 + (sqrt(77) + -2*(sqrt(77) - (sqrt(77) + 2*sqrt(77))))\/(sqrt(704)*-1).\nAnswer: 715*sqrt(7)\/8 + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 86*r + 112. Suppose y + 5*f - 13 = 0, 7 = y + 4*f - 3. Let g(t) = -85*t - 115. Let o(v) = y*g(v) - 3*w(v). Find the first derivative of o(l) wrt l.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*c + 110 + 24*c + 88*c + 24*c.\nAnswer: c + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 11. Calculate the remainder when u is divided by (-1)\/((1\/27)\/(-1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: a44a (base 12) to base 16\nAnswer: 45fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6344 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970261693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*a = -355*a - 36 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2 + 2)*(-5*v**4 - 2*v**4 + 5*v**4) + 0*v**5 - 5*v**5 + 2*v**5 - 325*v**5 + 129*v**5 + 112*v**5.\nAnswer: -89*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 - 7.5. Let d = s - -8.999986. Round d to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.7837 meters in millimeters?\nAnswer: 86783.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*p = 108*p - 46. Solve -5*v + 40 = -4*d, d + 2*d + p*v = -7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-4)\/(-64)). Calculate the greatest common factor of 6472 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(1*sqrt(102) - sqrt(102))*1*3)\/((sqrt(1350) - sqrt(1350)*2*3 - sqrt(1350))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 29034 + 29034.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/7 - 158*f**4\/7 - 178*f**3\/7 + 1462*f**2\/7 - 1768*f\/7 + 640\/7 = 0.\nAnswer: -4, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b2 + 34471?\nAnswer: 34563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 1:50 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/144 + w**4\/4 - 3*w**2 + 42*w. Let t(n) be the third derivative of z(n). Let h(a) = 12*a. Give h(t(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 6:29 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, x: 2, h: 3, w: 1}. Give prob of sequence xhwh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41356510 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4843103512.\nAnswer: 2, 13, 46568303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 20. Let w = -1 - h. Calculate the smallest common multiple of 7 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00277312 rounded to five decimal places?\nAnswer: 0.00277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/3 - 5468*v**2\/3 + 21848*v\/3 - 7280 = 0.\nAnswer: 2, 2730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, j: 1, n: 1, o: 1}. Give prob of sequence oj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 865 - 863. Factor 2*j**5 + 0*j**3 + 7*j**5 + 8*j**2 + 6*j**3 - 23*j**4 + 0*j**n.\nAnswer: j**2*(j - 2)*(j - 1)*(9*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/418 + (-2 - (-72)\/38). Let a(k) = 2*k**3 - 2*k**2 - 4*k + 204. What is the remainder when a(u) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 799 - -27. Calculate the highest common divisor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166967 + 346659. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105688, 422759, 951206, 1691023, 2642204, 3804743?\nAnswer: 5178634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 437*n**2. Let x(i) = -22*i. Calculate h(x(q)).\nAnswer: 211508*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -381, -391, -401?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -3*i + 5*d + 38, -594*d - 602*d = 16*i - 1192*d - 688 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 286. List the prime factors of (-27800)\/(-64) - -2*y\/(-32).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + -29. Let b = 66 + z. Let w be 36\/10 - 12\/b. Solve w*c + 20 = 8*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29756 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 53*n + 109. Calculate the remainder when k(-24) is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18833\/37662 + -1\/18831. What is the closest to u in 2\/3, 0.11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*c + 9 + 8, 0 = -5*c - 2*l + 44. Suppose 3*a + 2*a - c = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((272\/(-32))\/(-17)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 8 - 1\/2*r**2 + 7*r. Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49906788 by -3.\nAnswer: -16635596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 5*i + 1. Let q be -1*5\/(-4)*-4. Let g = q + 2. Let p(n) = -n**2 - n - 1. Give g*p(v) - t(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671*b - 2676 = -677*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -854 + 1618. Suppose -95*b = -91*b - i. Suppose z = -5*s + b, -3*z + 3*s - 525 = -6*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezcuewqequuquzz. Give prob of picking 1 u and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 times -167911?\nAnswer: -12089592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13240 (base 5) to base 4\nAnswer: 100232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*y**3 + 186*y**3 + 402*y**3 + 16*y**3.\nAnswer: 465*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s. Let v(o) = 6*o**2 - 4*o. Calculate -4*t(w) + v(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/173967878?\nAnswer: -1\/173967878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -473\/5. Let o = 6 + -5.8. Let k = -52\/9 + 242\/45. Which is the nearest to k? (a) -4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-88)\/8)\/(1\/(-4)). Let u = d - 46. Is (-721)\/(-1) - (1 + (u - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/21)\/(i\/((i\/(i\/i**(3\/4))*i*i)\/i)))**38 assuming i is positive.\nAnswer: i**(1349\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139062, -278138, -417212, -556284, -695354, -834422?\nAnswer: -973488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 49, 84, 119?\n\"Answer: 35*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7359334 times -0.06\nAnswer: -441560.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1053) + -5 - (sqrt(1053)*-2 - sqrt(1053) - sqrt(1053))*6)**2.\nAnswer: -3150*sqrt(13) + 658174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 6. Is 5 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 34 = -52. Let l be (-3)\/2 - 12\/c. What is the nearest to -0.1 in -2\/7, l, 2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492228705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*v = 379*v + 205 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -415, -110, 195?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 1. Let r(d) = 8*d - 4. Let z(l) = 6*q(l) - r(l). Let c(v) = -2*v**2 - 33*v + 142. Let t be c(-20). Let j be z(t). Which is smaller: j or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46886336 by -28.\nAnswer: -1674512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*p**3 - 753*p**3 - 203*p**3 + 10*p**2.\nAnswer: -1284*p**3 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let r(o) = -3*o - 1. Let k(d) = 4*l(d) - r(d). Suppose -3 + 4 = m. Let x be (1 - m)*10\/(-20). Give k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 732932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 36*q**2 - 66*q + 815. What is n(35)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*(sqrt(17) + 4) + 2.\nAnswer: -6*sqrt(17) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgaavagzagvzgagfavfa. Give prob of sequence fz.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -899.2834283 + 839.283439. Let c = -60 - o. What is c rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = -3*t + 72, -3*h + 4*t = -20. What are the prime factors of (-9)\/6 + 1338\/h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -241.918. Let l = 1526638.88200193 - 1526638.8. Let b = o - l. Round b to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-572)\/(-220))\/(4\/20). Solve 0 = -c + 3*x + 6, -16*c + x - 6 = -f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - 3*u. Let q be 3\/(-2)*(-5 - -3). Suppose -u*t + 8 = q. Calculate the highest common factor of t and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16383 and 1905.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**4. Let a(q) = -1418*q**4 + q - 3095. Let x(b) = -a(b) + 7*o(b). What is the first derivative of x(v) wrt v?\nAnswer: 5588*v**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*1 + 2 + 0 + sqrt(180) + sqrt(180) + sqrt(5))**2.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/18*-18*27\/2430.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6619563.\nAnswer: 3, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/3 - 1\/3. Suppose 10 = f*q - 2*q. Solve 2*x - 3*u - 12 = 0, 4*u + 0*u = q*x - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/20 and -17\/2048.\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 22 + 3*p**2 - 614 + 592.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10106230 is divided by 2437?\nAnswer: 2428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose -5*u = i*x - 68, 5*u - 68 = 2*x + 4. Suppose -11*c - 483 = -u*c. Is c a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from {s: 2, j: 5, h: 5, q: 5}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 163.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/27)*j*j**(1\/22) assuming j is positive.\nAnswer: j**(577\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 558.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 62 + 50. What is the nearest to 0.1 in t, 0.06, -5, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1\/(6\/24*8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -348269*m + 26816713. Determine h(77).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, l: 3, q: 13}. Give prob of picking 1 s, 1 l, and 1 q.\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10. Put 3, t, -1 in descending order.\nAnswer: 3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368\/1480*10435\/2.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -13*d**3 + d**2 + 21*d + 5. Let f(m) = -19*m**3 + m**2 + 31*m + 7. Give 5*f(u) - 7*p(u).\nAnswer: -4*u**3 - 2*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51690075*h - 2 - 25845006*h - 25845002*h.\nAnswer: 67*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 10. Suppose j*p - 3*p = 60. Calculate the greatest common factor of 45 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2240)\/(-4608)*12 + ((-4)\/(-2))\/(-4)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 1\/((-7)\/49).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v. Let l be a(4). Let t = -1 + l. What are the prime factors of 2 + t - -4*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1063 + -5513\/5. Let q = h - -40. Solve 4\/5*y**2 + 0 - 2\/5*y - q*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48\/5 of a microsecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 15 = -7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 - 2*p + 7*p**3 + 8*p**3 - 8*p**3 in the form s*p**2 + a*p**3 + n*p**4 + z*p + d and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 67335959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 - 992*q**4 - 62488*q**3 - 122016*q**2 - 60516*q.\nAnswer: -4*q*(q + 1)**2*(q + 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145085 divided by -344.\nAnswer: -145085\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {m: 2, x: 9, v: 3, n: 2, k: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 101\/3. Which is the closest to k? (a) -0.5 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149484533981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/1966, 1548, -4\/7 in descending order.\nAnswer: 1548, -5\/1966, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(6\/(-16))\/((-14)\/56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -406.74 - -416. Let f = -12.3 + w. Let g = 4 + f. What is g rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - (-2)\/(-4). Let s be (q + -1)\/2 + 2. Let b = s - -4. Solve -25 = -b*j - 0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u - 121. Let w be l(9). Sort w, -1, -3, -134 in increasing order.\nAnswer: -134, w, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62750.82 grams to milligrams.\nAnswer: 62750820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 89*s - 22. What is j(29)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-14))\/((-2182)\/(-160377)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)\/(3*sqrt(1440)))\/(sqrt(25)\/(sqrt(5) - sqrt(80))*-5).\nAnswer: sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*19582\/(-12) - (-6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172357, -172353, -172347, -172339, -172329?\nAnswer: -172317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 10. Let u be t(-9). Let d(c) = -5*c + 6*c + u - 8. What is the lowest common multiple of 14 and d(0)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + -1?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 785, -2, 1\/5, -1.2, 2\/11 in decreasing order.\nAnswer: 785, 1\/5, 2\/11, -0.4, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150.2 + 151. Sort 2, u, -2\/23 in decreasing order.\nAnswer: 2, u, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -368579.2736.\nAnswer: -368579.2736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 939, 9, 3, -1, -3, -2 in increasing order.\nAnswer: -5, -3, -2, -1, 3, 9, 939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/3 + 10280*m\/3 + 13209800\/3 = 0. Calculate m.\nAnswer: -2570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Simplify -3 + 3*(0 + sqrt(112))**2.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*j**6 + 2*j**2 - 4*j**2 - 57*j**2 - 12*j**2 wrt j.\nAnswer: 10920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/36*(-4)\/(10\/(-45)*-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(4212\/24))\/(2\/4)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74549507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 7*z + 3*z)*(2 - 6 + 2 - 1 - 1 + 0 - 1 - 2 + 2 + (0 + 0 + 1)*(3 - 7 + 2) + 0 + 2 - 3).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97277 + -7114. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3104, 3059, 2982, 2873?\nAnswer: 2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and -25527976099139?\nAnswer: 25527976099127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3\/7)*u*u*(u\/(u*u*u\/(u\/u**(-7))))\/u)\/(u*u*u**(5\/2)\/u*u**(-1\/6)) assuming u is positive.\nAnswer: u**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:49 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -28, -39, -48, -55, -60?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 538, 539, 544, 553, 566?\n\"Answer: 2*a**2 - 5*a + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*h**5 + 231*h**3 - 231*h**3)*(-10 + 11 + 37) + (2*h**4 + 3*h**4 - 3*h**4)*(0*h + 4*h - 2*h).\nAnswer: 3120*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 72655.86854 to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -237.96 and -2496281.\nAnswer: -2496518.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18)*(-252)\/(-56).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 16*v**3 + v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 7 - 42 - 18*v**2 + 35.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1)\/(-3) + (2995216\/21)\/8 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100 (base 2) to base 11.\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -237167 (base 8) to base 12\nAnswer: -3b21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13))**(4\/9)\/(d**(2\/29)*d**(-9)) assuming d is positive.\nAnswer: d**(30071\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-6 - -4)\/2. Let m(t) = -t**2 + 4*t + 17. Let l be m(7). Let p be l - ((-100)\/44 + 1). Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 4 (b) 2\/5 (c) -6\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 2*r + 0*r + 10 - 3. Let o = 5331 + -5336. Determine x(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32571977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 4*t - 2*t**3 + 18*t**3 - 3*t - 2*t**3 to the form g*t**2 + p + f*t + w*t**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2851691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 70. Let p = 7994 - 7986. What is the remainder when u is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 3. Let l(a) = -a**3 - 8*a**2 - 8*a - 4. Let c be l(t). Let f be -194*(c - 15\/6). Round f to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 145435624?\nAnswer: 145435624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 7. Let c be w(3). Suppose 4*y - r - 97 = 0, c*y - 106 = r + 15. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 + 4. Let z be (1 + 1 + -6)*(-21)\/42. Let a(s) = 1086*s**2 + 1 - 2173*s**z + 1088*s**2. Let b = -3 + -1. Calculate b*a(c) + g(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 6909 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a9 (base 14) in base 11?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1111.21 * -1\nAnswer: -1111.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183079?\nAnswer: 3, 359, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1083*v + 1095*v = 144. Suppose 18 = c - 3. What is the remainder when 626\/14 - (-6)\/c is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/18 - (-4)\/(-18). Suppose t - 12 = -v*t. Solve -t*k - 8 - 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 8581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**15)\/k**(1\/15) assuming k is positive.\nAnswer: k**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -893\/8 - -111. Let b = 10583 - 10583.1. Is u less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -25*c**2. Let o(h) = 45*h**2 - 21. Let k(a) = 23*a**2 - 12. Let b(v) = 7*k(v) - 4*o(v). Determine b(j(y)).\nAnswer: -11875*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by -32.\nAnswer: 319\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215 (base 16) to base 9.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 42 = 5*n, -37 = -3*c + 9*n - 8*n. Suppose -3*r + c = 2, 0 = 4*h - 2*r - 140394. Round h to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20750 + 10463 + 11272)*(2*q + q - 4*q).\nAnswer: -985*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4422330213 + -10?\nAnswer: -4422330223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 12*y + 1. Let d be o(7). Suppose -d + 0 = -5*c. Suppose 2*k + c = 3*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/6*846\/705\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 - (0 - -8 - -3) - (-7 + -27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8*(-24)\/2. Is -9 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 5*t - 6. Let r(j) = -j**2 - j + 2. Let c be r(2). Let f be n(c). Let w be (4\/6)\/(f\/21). Sort -2, 0, w.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*l + 124*l = -180. Solve -4*u + l = -10*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6125 is divided by 611.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6541654 + -6544954.423. Let r = q - -3299. Let s = -0.063 - r. Round s to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10730 - -17390. List the prime factors of r.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Which is the third biggest value? (a) 3 (b) f (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2176.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q - 10. Let u = 32 - 26. Let v(d) = 0*d + u*d - 8 + 13. Let o(m) = -9*v(m) - 4*w(m). What is o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23206*n**4*w**3 + 11*n**4*w**2 + 190624*n**2 - 2*n*w**3 wrt n.\nAnswer: 556944*n*w**3 + 264*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342 - 243. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25343 + -120?\nAnswer: 25223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 410794 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 not equal to -3047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3556 and -0.3.\nAnswer: -3556.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*q + 4*q - 173, -4*q - 22 = -t. Suppose 5*l = -y + 15 + 23, 4*l - t = 5*y. Solve 0 = -6*p - l + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 0.057, 3\/8, -2\/8333, 5?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a - 345. Suppose -3*t - 207 = 2*t - d, -2*t - a = -5*d. Find the common denominator of t and 17\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*j*t + 17502*f*t + 51*j**3*t - 337*j**2*t + 4*t wrt j.\nAnswer: 2*f*t + 153*j**2*t - 674*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19450*l - 447348. Give x(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -147*n**3 + 146*n**3 - 13*n**2 + 7 + 3*n + 8*n**2. Suppose 3*t - 60 = 8*t. Let p = t + 7. What is h(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 4*f + f)*(-4 - 1 + 3)*(5 - 6 + 2).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38723 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 90*m - 357\/4.\nAnswer: -3*(m + 1)*(m + 119)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20 and -43\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 189*q**2 - 3*q - 851. Let h(a) = 379*a**2 - 5*a - 1703. Let k(j) = 3*h(j) - 5*u(j). What is the first derivative of k(y) wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/120 and 71\/110.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-1498)\/(-500) - -2. Let r = 2009\/2250 - f. What is c in -4\/3*c**3 + r*c**4 - 2\/9*c + 0 - 2\/9*c**5 + 8\/9*c**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*i + 9*i + 25*i in the form a*i + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -31. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -10. Sort 0.09, 1, x.\nAnswer: x, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026464881 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ozzpfoypppyzoffyzoqo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + -9. Let m = 30 + g. What is the remainder when 1 - 9\/3 - -33 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47089.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21206110 (base 8) to base 7.\nAnswer: 53314536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6078 is divided by 91?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*i + 3*q + 6, -3*i - 5*q - 12 = 0. Let d(h) = 11*h - 2. Let b be d(i). Suppose -2*n + 1 = -b. Solve 3*w - n = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let s be (378\/756)\/(((-2)\/(-54))\/((-16)\/(-24))). Let x(h) be the second derivative of -5\/2*h**2 + s*h + 0 - h**3. What is -5*t(l) + x(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/33, -0.039, -15 in descending order.\nAnswer: 5\/33, -0.039, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37422.6um?\nAnswer: 37422600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -162.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r = n - 59, 3*r + 138 = -5*n - 70 + 11 + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 3, u: 5, v: 1, l: 7}. Give prob of picking 1 v and 1 l.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2940 and 380790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/(-21)*154*40\/660\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3b2fb (base 16) to base 13\nAnswer: 86463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 3854*s**3 - 3856*s**3 + 2*s**2 + 18 - 2*s**4 + 0*s**2 - s**4 to t*s**2 + l*s + w*s**3 + d + j*s**4 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8956500 rounded to the nearest 10000?\nAnswer: -8960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 104958653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.940713 seconds to minutes.\nAnswer: 0.46567855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4759 + -4759.2. Which is the nearest to i? (a) 2 (b) 5\/2 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 42.9. Which is the nearest to d? (a) 0.2 (b) 5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = f + 24, 14 = -3*f + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3190, -6380, -9570, -12760, -15950, -19140?\n\"Answer: -3190*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20021301033 (base 4) to base 2.\nAnswer: 1000001001110001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*f + 220*f + 12 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2296.11992 - -2296. Let n = k - -0.12. Round n to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let q = -3\/170 + 2\/17. Is g bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -18*w - 585. Let f = -495 + 381. Let k = f - w. Solve k - 11 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/23 and 70\/171.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1549, 0.5, -2\/15, 1\/12 in decreasing order.\nAnswer: 0.5, 1\/12, -2\/15, -1549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 bigger than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4, 151, 0.2, 4, -3 in descending order.\nAnswer: 151, 4, 0.4, 0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*m + 1438 + 4722. What is m rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266481 + 29999 = 8*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1643107 and 2234.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38571666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/6720 - b**6\/2880 - b**5\/960 + b**4\/192 - 11*b**3\/3 - 16*b**2. Let h(c) be the first derivative of x(c). Factor h(z).\nAnswer: (z - 1)**2*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 104?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5200) - (sqrt(52) + (sqrt(624) - sqrt(624)*2)\/sqrt(12)))\/((1*sqrt(4) - sqrt(4))*2 + (sqrt(64) + sqrt(16) - sqrt(4))).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 22 - 1) + -23519 + 23545?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 3173 + 3887 = 0 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -3*w**7\/70 - 11*w**5\/60 + 7*w**2. Find the third derivative of h(g) wrt g.\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + 2*p**2)*(-1 + 0*p**2 - 7*p + p**2 + 8*p).\nAnswer: 2*p**4 + 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.3 (b) 0.4 (c) -3 (d) -0.1 (e) -0.2 (f) -31 (g) -2.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from xgxxggggggxxgxxxgx?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 44*n**2 - 2 + 31*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**(-1\/4))*o**(5\/3))\/((o**2*o)\/o)**(-18) assuming o is positive.\nAnswer: o**(443\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -20)*2\/(-2 + 20). Sort 2\/67, 2\/9, -2\/15, i.\nAnswer: -2\/15, 2\/67, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 11 - 41 - 8 + 16*w**3 + 55*w**3.\nAnswer: 71*w**3 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -265.406606 and 0.2.\nAnswer: -265.206606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2035*f + 4070*f - 2021*f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 + i**3 + 2*i**3)*(0*i + 2*i - i) + 76*i - 76*i - i**3 + 24*i**4 + i**2 in the form h*i**4 + a*i**3 + o*i + b*i**2 + p and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 - i + i**3 + 2*i**3 - 6623*i**2.\nAnswer: i**3 - 6623*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -374\nAnswer: 149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**3 + 14*d - 32*d**4 + 3*d**2 - 29*d**4 - 8*d + 63*d**4 - 2 - 5*d to l*d**2 + t + w*d**4 + r*d + x*d**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - ((-43 - -22) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiigiiii. Give prob of picking 1 g and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3317*-0.1.\nAnswer: -0.33317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12744041\/903 - 14113. Is 1 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 32*j**3 + 11 + 17*j**3.\nAnswer: 49*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54879 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.03 - -0.03. Let g = -36.5526 + 36.6526. Which is the closest to -0.17? (a) 5 (b) -0.2 (c) g (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (1748\/95 - 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206048.184 to the nearest 1000.\nAnswer: -206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2034177, -2034176, -2034175, -2034174, -2034173?\nAnswer: -2034172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-174))\/(756\/(-7308))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (180\/10)\/((-9)\/((-27)\/24))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*l + 3, x + 7 = 4*l. Suppose 0 = -4*o + 18 - 2. Solve x - o = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y + 136. List the prime factors of a(0).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/76 and -55\/23355408.\nAnswer: 23355408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2604, 5916, 9228?\n\"Answer: 3312*k - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - 16 - 71) - 14.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10320, -10300, -10280, -10260?\n\"Answer: 20*l - 10340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-2 + 0 + 1)*(-q + q + q)*(8801*q**3 - 17395*q**3 - 2*q + 7874*q**3) to y*q**2 + i*q + t + p*q**4 + u*q**3 and give p.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.2849ml to litres.\nAnswer: 0.0612849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))\/r**(-4\/3)*r*r\/(r*r**(-6)\/r)*r*r**(-6\/5) assuming r is positive.\nAnswer: r**(182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -23*h**2 + 3*h. Let t(b) = -47*b**2 + 6*b + b - 2*b. Let u(r) = -5*i(r) + 3*t(r). Let o(q) = -2*q**2. Calculate o(u(g)).\nAnswer: -1352*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14019 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2372924*q**3 + 4572531*q**2 wrt q?\nAnswer: -14237544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34910 and 41892.\nAnswer: 209460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-21)\/1519)\/(4\/14).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -8*y + 4 + 4*y**2 - 2\/5*y**5 - y**4 + 2*y**3. Determine m, given that c(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329376 divided by -4.\nAnswer: 82344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 107159 = -5*b, 5*b = 3*u + 3035 + 104126. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 2 + sqrt(28) + (sqrt(700)*-2)**2.\nAnswer: 8*sqrt(7) + 2802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -524 + 626. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4535433 to the power of 1\/2, to the nearest integer?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 671 = 5*j - 10*j, 3*j + 400 = -2*x. Find the common denominator of (j\/96 - -1)\/(2\/20) and -125\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -4. Let w = -5.2 - s. Let i = 0.3 - 0.1. Sort w, i, -0.5.\nAnswer: -0.5, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286 and 6864429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:26 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302444.\nAnswer: 2, 75611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/14*40\/6. Let i = -8 - a. Let f(v) = v**3 - 2*v**2 + 1. Let h be f(1). Sort -4, i, h in increasing order.\nAnswer: -4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/20 + 5*d**4\/12 - d**3\/6 + 3*d**2\/2 + 3*d. What is the remainder when q(3) is divided by 0 + 9 + (-1 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 + -7 + (8 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -49140 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:33 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30379?\nAnswer: 17, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 1:04 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -i - 6 + 12, 0 = -3*i + 3*v - 18. Let q(o) = 3*o**2 + 4*o. Give q(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 + 10*p**4 - 80*p**3 - 190*p**2 + 75*p + 180 = 0. What is p?\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 564013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 - 5)*(-3*w - w + 3*w)*(-180 - 262 + 141)*(-2 + 4*w + 2)*(3 - 1 + 0) - 2*w**2 - 2*w + 2*w.\nAnswer: 4814*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 + 713*q - 4927. Calculate u(7).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 967, 2404, 4799, 8152, 12463, 17732, 23959?\nAnswer: 31144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 6*a - 5. Let d(q) = -5*q**2 + 30*q - 24. Let o(h) = -2*d(h) + 11*m(h). Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 14*l + 31. Let y be x(-16). Suppose 5*i = 3*r + 1, 0 = -3*r - 4*i + 6 + 11. Suppose -2*z = r*z + 20. Which is smaller: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.026 + -3.026. Which is the smallest value? (a) 11 (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 39*o**2 + 130*o - 3658. What is q(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155.8 + 156. Which is the nearest to 11? (a) w (b) 0 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279848.8131 + -3923\nAnswer: 275925.8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86162?\nAnswer: 2, 67, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56516 - 1050332. Let z = w - -1896848. Round z to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/125)\/((64\/5)\/(-8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3. Let d = 4 + n. Suppose -4*h + 2 = 2*p + 8, 4*h + 15 = -5*p. Put 5, d, h in decreasing order.\nAnswer: 5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3857976 and 13\/570.\nAnswer: 366507720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*b - 5645 - 4219 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43004 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: Calculate the common denominator of 95\/252 and 83\/161826.\nAnswer: 970956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (13 - (-10 + 15))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 + -2.2. Is 14 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*c, 4*m + c - 7 = -0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 1. Let n be u(-3). Let t = n - 9. Let -1\/5*z**t + 0 + 0*z - 1\/5*z**3 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.81236\nAnswer: 1.62472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186 + -3?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfv when three letters picked without replacement from nqsnfqnvnnnqvnqnn?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3248\/11, 1, 0.1, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.570233 and 1?\nAnswer: 0.570233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 16*s + 30. Let v(o) = -30*o**2 - 65*o + 125. Let y(d) = 25*u(d) - 6*v(d). Let h(i) = -2*i. Calculate h(y(z)).\nAnswer: -10*z**2 + 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -248312, -248269, -248214, -248141, -248044, -247917, -247754?\n\"Answer: w**3 + 36*w - 248349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/(-66)*12\/(-39).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*n**2 + 34*n**2 - 2*n**4 + 2*n**3 + 9*n**3 + 32*n**2 - 95*n**2 + 2 in the form k*n + g*n**4 + r*n**3 + s + t*n**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d0b (base 14) in base 9?\nAnswer: -78233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 1, -15, -41, -77, -123?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 43*o**2 - 292*o + 347. What is m(49)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (540\/75)\/((-2)\/(-5)). Let u be (f\/21)\/(-7 - -5). What is the second smallest value in -4, u, 2\/25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from uggu?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(304)*-2*3 + 0 + (sqrt(304) + sqrt(304)*-2)**2 + sqrt(304) - -4*(sqrt(114)\/sqrt(6) + -2 + (sqrt(2736) - (sqrt(2736) + -1) - sqrt(19)))**2).\nAnswer: -20*sqrt(19) + 312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 3838, 2\/15?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11823069 is divided by 4733.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1066264288 or -1066264289?\nAnswer: -1066264289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137025 and -1.\nAnswer: 137025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161117374 to the nearest integer?\nAnswer: 12693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 - 1300*a**2 - 102227*a - 100928 = 0?\nAnswer: -1216, -83, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*l - 0*l. Let i(t) = 17*t - 22. Let v be i(l). Solve 3*c + 0 = v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 88. Let v(t) = -2*t + 13. Let q be v(11). Let o(n) = 43. Let w(c) = q*o(c) - 4*g(c). Differentiate w(m) with respect to m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(0 + p + 0) - 217*p + 12 + 6 + 218*p)*(2*p + 4*p - 7*p).\nAnswer: -2*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0)**16 assuming u is positive.\nAnswer: u**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 474 + -24. Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2)\/(1\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 84 = -6. What is the least common multiple of 20 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 8*q**2 + 3*q + 3. Suppose -j - o = -24, 4*j - j - 67 = -2*o. Calculate the remainder when w(7) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose y - 11 = -v + c*v, -y - 4*v = -1. Let p = 52961 - 52910. What is the remainder when p is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -265632.\nAnswer: 1859424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 equal to -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a + 3*a - 7245. Let d = a + -471. What is the highest common divisor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 9*y + 11. Let h be (-59)\/(-2) + 1\/2. Suppose i - 28 = 5*i - 2*z, -3*i = 3*z + h. What is the units digit of p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 5:37 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnynwmnjmw. What is prob of sequence nnwm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8047 + -5535. What are the prime factors of g?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -176, -172, -150, -104, -28, 84?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-5)\/(10\/4). Suppose 2*f + 4 = 4*z, i = 4*z + f - 6*f + 8. Let y(d) = 2 + 2 - z + d**2. Let v(c) = -5*c**2 - 2*c - 2. Give -v(r) - 3*y(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*o**3 + 324840*o**2 + 259908*o + 51984 = 0. What is o?\nAnswer: -2\/5, 4332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 7 = -w, s - 1 - 3 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 104.56. Let w = 31.9 + -26. Let z = t + w. Round z to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468\/5 less than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 293348 and 26604.\nAnswer: 1951057548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - m - 17 = 0, t + 59*m = 60*m - 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**6\/120 - o**5\/6 + o**4\/3 - 13*o**3\/3 + 44*o**2 + 2*o. Let t(d) = 10*d**3 - d - 2. Let z be t(-1). Give h(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*c + 11 + 0 - 26*c - 12 wrt c?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 3. Suppose 0 = -5*g - 0*g - 20. Let b(q) = q + 1. Let h(d) = -4*d + 7. Let l(r) = 3*b(r) - h(r). Let w(p) = g*t(p) + 3*l(p). Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -35*l + 4*l + 4*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 12. Suppose -457 = -l*d + 488. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8536 and -5\/11737.\nAnswer: 93896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*d**2 + 1 - 2*d - 37*d**2 - 2*d**2 to z + t*d**2 + l*d and give t.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 47, 29, -5, -61, -145, -263, -421?\n\"Answer: -z**3 + z**2 - 4*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8) + (171 - 4980\/240).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3073038679 to the nearest integer?\nAnswer: 55435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 279113551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12567, -10016, -5767, 174, 7801?\nAnswer: 17108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*r + 1134, 0*a - 852 = -3*a - 3*r. Calculate the highest common factor of a and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 949515.1 nanograms?\nAnswer: 0.9495151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 111 = -47*x + 5*o, -77*o = 13*x - 76*o + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -390, -944, -1720?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.4196 decades in months?\nAnswer: 13370.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r + 4. Let n be j(-2). Let k(y) = 1 - 3*y**2 + 2*y - 2*y**2 + n*y**3 + 5*y**2. Give k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 12) to base 3.\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4553563444.\nAnswer: 2, 1138390861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 6*q**4 - 8*q**3 - 2*q**2 + 9*q - 4.\nAnswer: -(q - 4)*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/6 + (-5)\/(-15). Let x(f) = f**3 + 7*f**2 - 2*f - 14. Let h be x(-7). Solve 2*c = 3*o - h*o - g, 4*o = 5*c + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234782911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/240)\/(19\/(-38)))\/((-1)\/2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(175))*-5 + -1*sqrt(175) + -4 + sqrt(175) + sqrt(175) + 1 + sqrt(175) + sqrt(175) + -1.\nAnswer: -9 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35264036 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1888*t - 1857*t + 527 = 0 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {q: 2, g: 1, f: 4, c: 4, t: 2, n: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 2. Let p = i - 3. Is 2\/p + 79\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**3 - q**2 + 2*q + 1. What is the units digit of v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73910 divided by 5\nAnswer: -14782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3)*(-3)\/15*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -1637022.74257.\nAnswer: -1637023.14257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -0.056?\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**9\/126 - x**5\/20 - x**2 - 9*x. Let g(v) be the first derivative of z(v). What is the third derivative of g(o) wrt o?\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 + -320 + 0 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (15 + -69 + 0 + 45)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1.6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20280 by -120.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*j - j - 2*j)*(594*j + 1255*j - 167*j) - j + j**2 + j)*(2*j**3 + 2*j**3 - 6*j**3).\nAnswer: -6730*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 5*d - 5*d)*(0*d + 0*d - 3*d**2) + 5*d**5 + 0*d**5 - d**5.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 8280 = 26*v. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 7. Let d(f) = -30*f + 1. What is the remainder when d(q) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*w + 1 = 111*w, 5*l - 2*w - 1262 = 0. Calculate the least common multiple of l and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.53 (b) 0.3 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(-1\/3)\/t)\/t*t**(-1\/3)\/t*(t*t**0\/t*t)**(2\/81) assuming t is positive.\nAnswer: t**(-214\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 42, 106, 226, 420, 706, 1102?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/6 - 50*t**2 + 295*t\/6.\nAnswer: 5*t*(t - 59)*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose m = 3*t - 2*u - 19 - 1, 0 = 5*t + 2*u - 28. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h + 21. Let w(m) = -7*m + 14. What is 5*i(s) - 8*w(s)?\nAnswer: 6*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1 + -2 - 26\/(-416)*-64?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*g - 141 - 508*g + 212*g.\nAnswer: 2*g - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322792 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from nlullnunleiililulli?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25137022, 25137026, 25137032, 25137040, 25137050, 25137062, 25137076?\n\"Answer: s**2 + s + 25137020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -182, -214, -262, -320, -382, -442, -494, -532?\n\"Answer: x**3 - 14*x**2 + 3*x - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 - -2.06. Let u = -313\/6 - -155\/3. Put i, -5, u in descending order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1168 - -1273. Let a = 48 - 27. What is the greatest common factor of a and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*b. Suppose b*z + 4*z - 3*j = 71, -5*j = 5*z - 80. Let i = 45 - -4. What is the remainder when i is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 30*r. Let i be ((-9)\/(-6))\/(-3) + (-3)\/(-6). Do i and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-117))\/5*-1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1649*u**3 + 17*u - 17*u.\nAnswer: 1649*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*b - 5093 = -5077, w = -4*b + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4166407*p*v + 2963612*p with respect to v.\nAnswer: -4166407*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579288, -579289, -579290, -579291, -579292?\nAnswer: -579293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (1 - 1) - 4) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/(15\/6 + -1) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (-4*((sqrt(85)*-2 - sqrt(85) - sqrt(85)) + sqrt(85)))\/(sqrt(20)\/(sqrt(4) - -1*sqrt(4))).\nAnswer: 5 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {v: 1, m: 5, q: 1, o: 1, g: 4, c: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 62. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 77 + 65. Suppose 4*n + 78 = 2*p, -u*n + n + 134 = 4*p. Calculate the remainder when p is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 188*q + 834. What is the lowest common multiple of 11 and z(-62)?\nAnswer: 10538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**2*n**6 - 67*j**2*n**3 - 2*j**2*n**2 + 21*j**2 wrt n.\nAnswer: 120*j**2*n**3 - 402*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 3*m, h - m + 0*m + 2 = 0. Solve 0 = n + 5*i + 27, h*i + 3*i = -2*n - 29 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.088 + 0.668. Round j to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:53 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r - 5. Let w = 765 + -761. Suppose 4*f - 3*l = 0, -15*f = -14*f - w*l + 13. Determine g(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -42. Suppose 3*b = 2*a + b - h, 14 = 2*a + 2*b. Let k(d) = -3*d**2 + a*d - 1 + d**2 + 6*d**2 + d**3 + 3*d**2. Give k(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 14. Suppose 2*c + 2*i = -3*c - v, 5*c = -4*i - 4. Suppose 2*w = -8, -21 = -y + 3*w + w. Sort c, -5, y in increasing order.\nAnswer: -5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11067 + 143885\/13. Solve 12\/13 + 2\/13*u**3 + 0*u**2 - j*u = 0 for u.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**5*w**2 - 71*q**5*w - 6394*q**2 + q*w**2 wrt q?\nAnswer: -540*q**2*w**2 - 4260*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juyuuuuuummuju. Give prob of picking 1 y, 2 j, and 1 u.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.460248436 rounded to 4 decimal places?\nAnswer: 0.4602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/(-38) - ((-160)\/380)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*((-12)\/6 + 2). Solve n + h*n = 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**18)\/f*f)**(-29))**(5\/3) assuming f is positive.\nAnswer: f**(-2755\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971, -2073, -3175?\nAnswer: -4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02725324 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/19 + (-1 + 8080\/95 - (1621 + -1646))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6)*l*l\/(l*l*l**(-6\/5)*l))**(-2\/15))**(-12\/17) assuming l is positive.\nAnswer: l**(-232\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*t - 30, 3*a - 7 = 4*t + 3. Suppose -5*c - 64 = -2*q, -3*c - 2*q - 42 = -a. Suppose -10 = v + 2. Is c <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 88 = -5*o, 2*s - 12 = 5*s. Calculate the remainder when 43 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 7.68072.\nAnswer: -7.88072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 155 - 78 - x - 80. Calculate a(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18813 + -11485. Is 58\/((-8)\/(-10)*80\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = c - 18, 2*c + 9*t = 11*t - 12. Let x(r) = -r**3 - 3*r**2 + 2*r + 2. Give x(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1662*f = 1655*f + 84. Suppose 3*z - 26 = -2*d - 15, -f = -2*z + d. Solve -4*u + 3*c = 4, 4*c + 2 = z*u + 2*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 9. Let f(x) = 3555*x + 34. Give f(s) + 4*j(s).\nAnswer: 3563*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.9 - 8.6. Let g = -2.5 - l. Sort -4, 2, g in increasing order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 5 - 6*w + 0*w + w. Let f(p) = -20*p - 14. Give -4*f(y) + 11*q(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 445740.8 centuries in years?\nAnswer: 44574080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1334496 and 10896.\nAnswer: 302930592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90245 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: Is 90 a factor of 5836953806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (550574548*w - 140*w**4 - 32*w**2 - 550574548*w)*(-1 - 3 - 1) as y*w**3 + d + i*w**2 + v*w**4 + c*w and give v.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 56\/42*(-3)\/(-10). Which is the second smallest value? (a) l (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*l - 12*l = -17490, -5*k + 2*l = -17483. Let f = k - 2401. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/294 or 1?\nAnswer: 5\/294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 40571*c + 1866245. What is a(-46)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.7 - 6. Let q = -0.0643 + 0.2643. Which is the nearest to 0.2? (a) t (b) -1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347623.9 rounded to the nearest 1000?\nAnswer: -348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1207 - -143637\/2414. Let b = o + -58. Suppose -3*i = -9, 2*f - 6*i = -3*i - 5. Is f <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 - 5*d**2 - 2*d + 9. Let r(z) = -3*z**3 + 2*z**2 + z - 4. What is 2*c(o) + 5*r(o)?\nAnswer: -5*o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 366534 + 366246 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138, 250, 350, 432, 490?\n\"Answer: -l**3 + 119*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -95.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**2 - 155*j**2 - 130*j**2 - j**2.\nAnswer: -246*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 4*h + 7. Let f(a) = -4*a**2 + 5*a - 6. Let q(k) = 2*f(k) + 3*w(k). What is the tens digit of q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053) + 0 + sqrt(1053) + sqrt(1053))) + -1)**2*-5 + (sqrt(13) + sqrt(13) + sqrt(26)\/sqrt(2) + -5)*3 + -1.\nAnswer: -21081 - 171*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -21. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -0.1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 22423?\nAnswer: 22413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 1 - 2)*(5*f - 14 + 14) - 18*f - 8*f + f + f - 5*f + 2*f)*(-5 + 2 + 2) to p + r*f and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 22*u - 43840. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21860 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0))**(-37)*(c*(c**(-4\/5)*c*c)\/c)\/((c**4*c)\/c)*((c*c*c**(-6)*c)\/c*c**(4\/3))**1 assuming c is positive.\nAnswer: c**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8966023 take away -60.76?\nAnswer: -8965962.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-70)\/(-6))\/((-210)\/(-90)). Let f(q) = -2*q**3 - 4*q**2. Let s(o) = o**3 - 2*o**3 - 5*o**2 + 3*o**2. Calculate x*s(g) - 3*f(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/11 + 1058*r**3\/11 + 35494*r**2\/11 - 1058*r\/11 - 35496\/11 = 0.\nAnswer: -493, -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:13 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, w: 1, v: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/19)*(i**(-3\/5)*i)\/i*i**(6\/7)\/i**(2\/5) assuming i is positive.\nAnswer: i**(100\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/417 (b) -4 (c) -2\/13 (d) 0.164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021110021202222 - 0?\nAnswer: 1021110021202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*p**3 - 4*p**3 + 22*p**3)*(143 - 3*p - 144 + 0*p) as m*p**2 + j*p + i*p**4 + a*p**3 + u and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1101.8*13.7.\nAnswer: -15094.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**4 + 354*b**3*l**2 + 300*b**3*l + b**2*l**2 - 20*b**2*l + 17403*b*l**2 + 2*b*l wrt b?\nAnswer: -120*b + 2124*l**2 + 1800*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -2832\/65?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 24. Let k(x) = -81*x + 982. Let y be k(12). What is d(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 16*t + 19. Let a be j(-15). Suppose -a*m + 5*m = 2, 0 = -2*v + m + 2. Let k = -253 + 253.5. What is the nearest to 0 in k, 1, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.1465 and -0.418.\nAnswer: 0.7285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v - 4. Let h(k) = -k + 1. Let c(w) = h(w) - x(w). What is c(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**7\/84 + 7*q**6\/60 + 3*q**5\/20 - 2814*q. Factor h(s).\nAnswer: s**3*(s + 1)*(s + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059015162 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:55 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 5, -0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*(-4)\/(-3))\/(4\/6). Suppose 0 = n*g - 9*g - s + 53, -3*s + 31 = g. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*i**2 + 2*i**3 + 215*i**2 - 107*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3040 + 1438. Let o = f + 2689. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32.55 + 32. Let h = n - 0.45. Which is the biggest value? (a) -2 (b) h (c) -2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60187185 - 124375227. Let m = -64188190.000455 - p. Let k = -148 - m. What is k rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 15 = -1. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*g = 2*g - 148, -240 = -3*t + 3*g. Let n = 112 - t. Let x = 17 + -5. What is the remainder when n is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -301194 from 1.299114.\nAnswer: 301195.299114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629851244?\nAnswer: 2, 11, 14314801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7045765724 take away 0.18523?\nAnswer: -7045765724.18523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 + a - 5. Let i(p) = 0*p**2 + 7*p**2 + 0*p + p - 6. Let s(g) = 5*i(g) - 6*k(g). Let d be (-2)\/(-5) - 17\/5. What is s(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154920 and 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 348*r + 254*r to the form u*r + b and give u.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-6))\/(4\/(-6)). Suppose 0 = -0*o + g*o - 620. Suppose -o = -t - t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*s**2 - 2991392*s - 34112843 wrt s.\nAnswer: -48*s - 2991392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-8) - 14\/(-4). Let p = b - -5. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -452 + 500?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 533*p**2 + 4241*p - 184.\nAnswer: (p + 8)*(533*p - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -37. Suppose -5*t + l*t = 240. Let n = t - -50. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 340707*s**2\/5 - 16176*s\/5 + 192\/5.\nAnswer: 3*(337*s - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1981*r - 752*r - 9925*r.\nAnswer: -12658*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134.244 + -0.244. Let a = d - 132.94. Let k = 2.3 + a. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33296.8 times -5?\nAnswer: 166484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = 2*s + s, -3*s - 12 = -2*h. Suppose -2*v - 2*v - 4 = h. Let u(a) = 7*a + 6. Let t(r) = -24*r - 19. Let q(f) = -6*t(f) - 19*u(f). Give q(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 5*h + 2*h)*(-2*h**2 + 6*h**2 - 3*h**2).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:13 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(117) - 6*sqrt(117)*3)\/(sqrt(81)*1).\nAnswer: -17*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8 + 3 + -4 + 2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*g**2 + 79*g**2 + 269*g**2.\nAnswer: 1547*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 685, 18, 4988 in descending order.\nAnswer: 4988, 685, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*x + 12, -8*o + 4*x = -10*o + 12. Let b(m) be the second derivative of 0 - 1\/24*m**4 - 8*m + 1\/6*m**3 + 0*m**o. Find q, given that b(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -6.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + -47. Let a = -463\/6 - b. What is the common denominator of a and 4 + (-3)\/144*-34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 2*a - 7*a + t, -2*t = -129*a - 38*a - 102 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -3 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16310*t**4 + 3*t + 227522 wrt t?\nAnswer: -65240*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 44, 181, 446, 881?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 82*a**3 + 78*a**2 - 82*a - 80.\nAnswer: 2*(a - 1)*(a + 1)**2*(a + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -17010\/17, 3\/4, 15, 4, 0.5, -0.04?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, k: 2, n: 1, e: 4, y: 3}. Give prob of picking 2 e, 1 k, and 1 p.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101110110 + 11?\nAnswer: 110101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.38 + -0.02. Let g = -20\/13 + 1\/26. What is the second biggest value in h, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/468 and -131\/180.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -9, -10, -13, -18?\n\"Answer: -l**2 + 4*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 1\/9 (b) -2\/7 (c) 36 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 774*k\/5 + 4608\/5.\nAnswer: (k + 6)*(k + 768)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1796 + 1784 + 3*y**4 - 4*y**4 - y to v*y**4 + b*y + h*y**2 + w*y**3 + n and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, h: 2, q: 1, e: 1, z: 2}. Give prob of sequence qw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1247*a - 53629 - 83352 = 1353*a + 741*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203204?\nAnswer: 2, 37, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:04 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331 - 349 - 346 + 2228*b**3 - 347 + 1373.\nAnswer: 2228*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -161 in -3\/4, -0.03, -0.2, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 11*t + 1\/2*t**3 + 0 - 1\/2*t**2. What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 5562*n + 2313360 = 0. What is n?\nAnswer: -1224, -630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 5) in base 12?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Solve 5*a - 23 = 3*d - 6*d, -n*a + 5*d = -7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 13*b - 136. Suppose -b*g + 22*g - 30 = 0. Is 5\/g + 2303\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*n = -69*n + 8325. Solve 16*q - 54 = n*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*t + 15, -t = -3*o - 3*t + 14. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 greater than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 1, w: 4, b: 6, r: 1}. Give prob of sequence nbwb.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9728 + -11. Let m = -43.795 - -43.8. Let b = s + m. What is b rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 920 + -650. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 13, 1, 266118 in descending order.\nAnswer: 266118, 13, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 + 7*s + 1. Suppose -v - 22 = 4*t - 7*t, -4*t + 24 = -4*v. Let o = t + -3. Is m(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171.4 - 171.2. Sort l, -25, -1, -8 in descending order.\nAnswer: l, -1, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 24 = 0. Suppose -3*i + w*s = 4*s - 8, -2*s + 16 = 3*i. Let p be 11\/14 - i\/14. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-221)\/52)\/(-17)*(80\/(-76))\/(-5)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188.2 + -184. Let s = j + -4.7. Which is the second smallest value? (a) -2\/3 (b) -4\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*n**5 - 82*n**2 - 10*n**4 - 44*n**2 - 7*n**4 + 17*n**4 + 3*n wrt n.\nAnswer: -3360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let n(y) be the first derivative of 31*y**3\/3 + y - 37. What is m(n(q))?\nAnswer: -62*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/331749 and 26\/1161.\nAnswer: 14265207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 401*c**2 + 10*c - 4. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Suppose -3*p + 7*p - 5 = f, -2*f = -2*p + 10. Let o(q) = q**2 + 4*q - 3. Let z be o(f). Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 163?\nAnswer: -537.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.002 or 26\/5?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-7) - (-3274)\/14. Let q = w + -237. What is the closest to -15\/7 in q, -0.5, 0.3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*x**2 + 13*x**2 - 17*x**2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96639l in millilitres?\nAnswer: 1966.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104025 (base 9) in base 8?\nAnswer: 171044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.36, 2, -6, -3, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*s - 20. Suppose 0*a = s*a + 84. Let o = 54 + a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 172 - 173 - 76 + 423.\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, k: 1}. What is prob of sequence kb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 27. Suppose -5*z = -3*i - 2*z + 63, 77 = 3*i + x*z. Let v = -23 + i. Solve 0 = -3*j + 3, 3 + v = 3*a + 3*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -3 - 4) + -7 + -61 + -3?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -2744, 358 in decreasing order.\nAnswer: 358, -114, -2744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-4)\/(-6)))\/(3348\/73656).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113841084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -33*l - 13. Let p(h) = 2*h + 2. Let z(n) = 2*b(n) - 4*p(n). Find the first derivative of z(v) wrt v.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636637, 636640, 636643, 636646, 636649?\nAnswer: 636652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a minute in seconds?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3094639*n**4 + 3351444 wrt n?\nAnswer: 12378556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*154\/(-44)*(-24)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*q - 16, 2*c - 1 = -q + 4*c. Suppose 4*d - 2 = 3*b, q*d + 0*b - 2*b - 2 = 0. What is the greatest common divisor of 22 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 642.\nAnswer: -11\/642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 74831*p. Let j(z) = 13*z. Determine b(j(u)).\nAnswer: 972803*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 2, y: 2}. What is prob of sequence vy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 19724.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161.34179 + -161.57. Let n = o - -0.227. Round n to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(3\/16))*y*y*y*y**19 assuming y is positive.\nAnswer: y**(355\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -495 + 496. Is o greater than -0.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 7b13?\nAnswer: -7b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 39.4.\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 2, w: 1, n: 1}. Give prob of picking 1 w and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -18 (b) -0.5 (c) -1 (d) 2\/11 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1214023.87956 - 0.7.\nAnswer: -1214024.57956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2226937954 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 546*k - 9564. Calculate m(18).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywjuvvy. Give prob of sequence uywy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/1232 and 143\/42?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = p + 2, x - 3*p = 4*x + 12. Let z be 2 + (0 - 1\/2). Is x >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.8 and 0.4.\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -399, -1315, -3103, -6057?\n\"Answer: -49*g**3 + 5*g**2 - 10*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1689, 3347, 4953, 6495, 7961, 9339, 10617, 11783?\nAnswer: 12825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10 = -2*l, -6*y + 5*y - 7 = 3*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/115686 and 89\/53136.\nAnswer: 341505072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 5. Let f(i) = -4584*i + 26. Give 5*c(a) - f(a).\nAnswer: 4599*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 2*s + 10, 0 = 84*w - 86*w + 5*s - 33 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and -0.03?\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.5431 - -0.3\nAnswer: 1.8431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804962 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 532?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + 1 + 2 - 4 + (1 - 2 + 2)*(4 - 5 + 2) + 3 - 3 + 3)*(-2*b**4 + 4*b**4 + 0*b**4).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/480 and 9\/896?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354617*g**3*q**3 - 4*g**3*q + 21*g*q**2 - g*q - 14*q**2 - 65 wrt q?\nAnswer: 2127702*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*h - 3*h + 4*h)*(2*h + 0*h + 0*h + (4*h - h - 2*h)*(0 - 2 + 3) + 46 - 8*h - 18*h - 31 - 4*h - h + 4*h) to the form x + z*h + t*h**2 and give t.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68846*p - 25 - 15 + 50 - 10.\nAnswer: 68846*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(45\/6*-1). Let i = -139.02 - -139. What is the nearest to i in 5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -19 (c) -1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 4. Let r(u) = -1. Let p(v) = h(v) + r(v). Let o be p(-4). Calculate the least common multiple of -1 + 8 - o\/1 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsii when four letters picked without replacement from {l: 4, q: 2, s: 2, i: 2, g: 3, j: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose 0 = d + o*d - 30. Calculate the least common multiple of d and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)\/(r*r\/(r**(-2)*r)))**(-1\/7) assuming r is positive.\nAnswer: r**(13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 813563263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341 and 7533.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*k - 5*f + 8, 5*k - f + 16 = 0. Let s(l) = -3*l - 2. What is the remainder when 28 is divided by s(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -11*q**3\/3 + 19. Let v(d) be the third derivative of -d**5\/30 + 70*d**2 - 5. Calculate o(v(g)).\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -107, 180?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1553 and 0.4.\nAnswer: -1552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*((-12)\/(-9))\/((-12)\/18)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 835 + -1393. Let d = -556 - x. Solve -5*p = -d*o - 24, 6 = -o - 2*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w**2. Let v(r) = 594644*r. Give v(q(a)).\nAnswer: 5351796*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 578292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrdrdrrrrrddddr. Give prob of sequence rdrr.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1493.4144 + -1501.3. Let q = l + 5.2807. Let t = 2.6 + q. What is t rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -11038?\nAnswer: -11035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1187856.76 to the nearest one hundred.\nAnswer: -1187900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 50\/3*l - 2\/3*l**2 = 0. Calculate l.\nAnswer: -18, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-6) - (-422 + 397)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(2)))**2 - sqrt(192)\/sqrt(6)) + -5.\nAnswer: 60*sqrt(2) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -2 (c) 0.3 (d) -0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -116777?\nAnswer: 117001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = -v, 0 = 4*p + 2*v - 6 - 14. Let g = 13 - p. Suppose -b + g = -3*b. Sort 1, 0, b in ascending order.\nAnswer: b, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 6*x + 2. Let c be n(4). Let b = c - 8. Solve -b*u = u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 52042 = -21226. What are the prime factors of s?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**2\/2 + 8*k + 11. Let x(h) = h - 7. Give 4*n(m) + 5*x(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -128*f - 7076. Calculate w(-64).\nAnswer: 1116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586652 is divided by 657.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4245.041 minus -616?\nAnswer: -3629.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/182 + 345\/3458. What is the closest to 0 in 0, f, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 7*s - 8. Let g be (-1 + 2)\/((-2)\/(-16)). Let j be p(g). Suppose -o + j*o**2 + o**2 - 3*o**2 + 2*o**4 + o**5 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -5. Let w be (1 - 0) + (-1 - 24\/(-6)). Suppose -127 = -w*a - s. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 25. Does 18 divide (p\/4)\/((-4)\/(-34))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 24?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -83, -88, -97, -110, -127?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 713*g - 79*g - 4*g**2 + 1927*g + 5*g**2 + 2*g**2.\nAnswer: -g**2 + 1135*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 47. Calculate j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -86*h - 3255. What is d(-31)?\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**2 + 12*x + 10. Let c(t) = -t**2 - t - 1. Give -b(i) - 12*c(i).\nAnswer: 4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4232806 is divided by 705?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 224\/49 + (-6)\/(-14). Find the second derivative of 2*k - 2*k + 7*k - g*k**3 wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 28*z - 6. List the prime factors of a(18).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {k: 2, v: 3, m: 12}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 17680685*c + 17680690.\nAnswer: -5*(c - 1)*(c + 3536138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*s. Suppose s = 7*z + z - 64. Suppose -10 = -10*o + z*o. What is the least common multiple of 2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:32 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.1099 millennia in years?\nAnswer: 187109.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153690059 to the power of 1\/2, to the nearest integer?\nAnswer: 12397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15180773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 4*m + 5*z, z - 42 - 261 = -3*m. List the prime factors of m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 3 = 0. Suppose -2091 = h*q - 0*q. Let c = -2155\/3 - q. Find the common denominator of -1\/2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (172 - 167).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxmxmxxx. Give prob of sequence xxx.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 7. Let l be d(-7). Suppose -4 = u, l*a = -2*a - u - 310. Let c = a - -270. Calculate the greatest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25583, -25485, -25383, -25277, -25167, -25053?\n\"Answer: 2*w**2 + 92*w - 25677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 4646192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3636*i**2*j**2 + 78*i**2 - 10*i*j**2 + 15*i + 25 wrt j.\nAnswer: -7272*i**2*j - 20*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 108. Calculate the remainder when 52 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -3313323?\nAnswer: 3320000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*x + 3. Suppose 5*t - 2*p - 1 = -0*p, 3*t - 5*p - x = 0. Let i(r) = 4*r**3 + 2*r - 1. Let n(k) = -k**3 + 1. Determine t*i(d) - 2*n(d).\nAnswer: -2*d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.06597 millimeters in kilometers?\nAnswer: 0.00004706597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(8\/3) - 85\/(-68). Let m(n) be the first derivative of 0*n + 5 + 0*n**3 + n**5 + 0*n**4 - 3\/2*n**f. Find the second derivative of m(a) wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.27 in 2\/7, 4, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + j = 166, 5*c - 102 = 2*c - 3*j. Let r be (-7664)\/(-64) - (-5)\/4. What is the highest common factor of c and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*k = -150, -4*p = -3*k + 42 + 71. What is the units digit of (0 - 0)\/(-3) - p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 + 0*a**3 + 0*a**3 + (-1 + a**2 + 1)*(-a - 2*a + a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5962712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30197699.\nAnswer: 7, 1453, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -31*b + 32*b. Let f be (13 - 7)\/((-2)\/b). Let r(p) = -p - 1. Let a(s) = 5*s**2 + 6*s + 6. Calculate f*r(q) + a(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 337, 53, 8 in increasing order.\nAnswer: -8, 8, 53, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(3*o**4 + 4*o**4 + 6*o**4).\nAnswer: -26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-450)\/(-48) - 1\/(-1) and 1 + ((-22)\/(-10) - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3107696 (base 10) to base 5.\nAnswer: 1243421241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80388.92 - 103912.4. Let f = g - -23524.0500212. Let s = f - 0.57. Round s to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000186251 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3088 * -0.28\nAnswer: -864.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*t = -w + 20, w - 3*t - 44 = 0. Suppose -2*n + 25 = -113. Calculate the remainder when n is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**3 + 3*g**2 - 5*g + 9. Let q(t) = -3*t**3 + 2*t**2 - 3*t + 4. Let u be 51\/34*(-8)\/(-6). Let r(a) = u*w(a) - 5*q(a). Solve r(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 + 31 = 0. Suppose -3*i = -2*h - 625, h - 1 + m = 0. Suppose -i - 71 = -4*s. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3 + 46*a**2 - 48*a. What are the prime factors of r(32)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557*k**3 + 1655*k**2 - 3404863*k.\nAnswer: -3342*k + 3310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let c = 656 + -650. Let y(d) = 15*d + 17. What is c*y(t) - 102*r(t)?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91111 is divided by 670.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 - 4*n**2 + 3. Let q(z) = -11*z**3 + 9*z**2 - 7. Determine 4*q(s) + 9*t(s).\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 3\/5, -4, 10?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(7)*-2 + sqrt(40) + (1*2*sqrt(40) - sqrt(40)))\/(3*(-6*((sqrt(800) - sqrt(800)*2) + sqrt(800) - sqrt(800)) + sqrt(800))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*i = -4*u + 10, -2*u - i + 10 = 0. Suppose 5*a + u + 0 = 0. Let r be (-2)\/(-16)*(-264 - -264). What is the closest to -0.1 in 1, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 39 + -4 + -16?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21488 divided by -2\nAnswer: -10744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.3884 centuries in decades?\nAnswer: 8873.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 19*i**2 + 36*i + 3. Calculate the remainder when 286 is divided by m(17).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4086 and 33?\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -934322083 minus -65.9082?\nAnswer: -934322017.0918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 100?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1794192 divided by -16.\nAnswer: 112137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (64\/27)\/(70296\/(-52722))\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7341353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3137*g**6 + 13*g**5 + 220*g**3 - 152*g**2 - 24*g - 215 wrt g?\nAnswer: 376440*g**3 + 780*g**2 + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = -6*p. Suppose 0 = p*k - k - 30. Solve k = i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -127.7?\nAnswer: -130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 + 1. Suppose -6*z = 2*f - 2*z - 14, 4*f = -z. Give o(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 178*p**2 - 362*p**2 + 188*p**2. Let w(j) be the third derivative of 0 + 1\/20*j**5 + 0*j**4 + 7*j**2 + 0*j + 0*j**3. Calculate w(l(b)).\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 2*b + 1. Let t be r(3). Suppose 8*f - 10*f + 24 = 0. Let k be 54\/f*t\/6. Solve k*m = -3*h - 6, 3*h = 7 - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -16076?\nAnswer: -16076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1270*-267\nAnswer: -339090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*c = 536*c - 30 - 158 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnddnuddnnndddnddd. Give prob of picking 1 u and 2 n.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {l: 4, o: 7, r: 3, j: 3, w: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (591\/985)\/((-315)\/100).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - d**2\/2 - d\/4.\nAnswer: -d*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12*v. Suppose -14 = -n + 2*i, -10*n + 8*n + 2*i + 20 = 0. Let s(y) = -8*y. Let m(w) = 9*w. Let x(h) = n*s(h) + 5*m(h). Give x(j(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 376066*t**4 - 2*t**3 + 31790*t**2 - 2.\nAnswer: 9025584*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61972*g - 30726 wrt g.\nAnswer: 61972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 639139204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 3. Suppose 113898 = 212*s + 112202. What is the smallest common multiple of s and v(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(192))**2 - sqrt(192) - (sqrt(192) + -1)*-5.\nAnswer: -32*sqrt(3) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)\/v*v)\/(v*(v**(-29)\/v)\/v) assuming v is positive.\nAnswer: v**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18156.\nAnswer: 2, 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 732969?\nAnswer: 7329690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-927)\/(-12) - (4\/16)\/1. Let n be d\/(-22)*1\/(-14)*8. Solve -3*q + n*j = -j, -4*q - 14 = 3*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4 + v**3 + v**2\/2 + 2*v - 4. Let h be z(-2). Let n = -6 - h. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6036819 and -3.\nAnswer: -18110457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -90, -2015, -7694, -19005, -37826?\n\"Answer: -313*m**3 + m**2 + 263*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 93300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222756 and -8.\nAnswer: 1782048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 517a (base 14) to base 6\nAnswer: 144532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.02533 - 6.068. Round m to 3 decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1202371031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20736*-0.2\nAnswer: -4147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1338179 and 79\/118.\nAnswer: 2676358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67574260, 135148522, 202722784, 270297046?\nAnswer: 337871308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -3385*d**3\/6 + 887*d**2 + 960*d. Find the first derivative of m(j) wrt j.\nAnswer: -3385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 6. Let d be 16\/36*g*-3. Suppose 0*w = d*w + 4*z - 260, -3*w + 185 = z. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6509913.\nAnswer: 3, 19, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -44021021?\nAnswer: -44021013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 86*w**2 - 180*w + 5. Give d(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 303580 and 531265.\nAnswer: 2125060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.45131 to two decimal places.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/13431726843?\nAnswer: -2\/13431726843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -5*j. Let a(v) = 3*v**2 + 8*v**3 - 6*v**3 - v**2 + 6*v**3 - 1. Give a(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 2\/9, 30, -5\/4, -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23893091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/28 and 151\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -367621*f - 735243. Give r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211101212222221 - 122?\nAnswer: 211101212222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.2, -0.02, -4\/3, -1319, -3.\nAnswer: -1319, -3, -4\/3, -0.02, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*l + 19*l - 23*l in the form q + t*l and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 + 10*w + 10. Let p be z(10). Suppose p = k + k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55428*t**2 - 27639*t**2 - 27790*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -16.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6663, 18, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -393\/61 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*k + 78*k + 87*k + 182*k + (-3 + 2*k + 3)*(1 + 1 + 0) + 2*k + 3*k - 6*k.\nAnswer: 252*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2\/5*-5*1. Let p(n) = -56*n. Let q(z) = -z. Calculate l*p(i) + 98*q(i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*b + 448 - 559 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - ((-4 - 8) + 6). Suppose -f - 10 = f, 4*u - 22877 = -r*f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -62. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Let a be m\/((2\/(-2))\/5). Solve -a = -5*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738 greater than 1738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oox when three letters picked without replacement from xxxxxxxoxo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -21*x**4\/4 - 35*x - 34. What is the derivative of n(v) wrt v?\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*f**4 + 47513*f**3 + 3*f**2 - 33682*f - 6335 wrt f.\nAnswer: -924*f**2 + 285078*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:33 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + u - 3. Let r(b) = -4*b**2 + b - 3. Let f(p) = -5*r(p) + 4*y(p). Calculate the remainder when f(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c - 5*c**2 + 4*c**2 + c + 3*c**2 to z + j*c**2 + n*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/336309076 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049326 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/9, -4, 0.5, 4.1, -487?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-11)\/66*-6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:21 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 49*z - 5. Let m be g(5). Suppose -h = -4*h + m. What is the remainder when 59 is divided by 0 + (h + 0)\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u - 37. Determine a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + x**2 - x + 393. Let b be p(0). Let r be 105\/(-7)*(-4)\/20. Suppose r*t - b = 258. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:59 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 278 = -282. Calculate the common denominator of -34\/21 and -10 - -9 - (2 + o\/(-33)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810268241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 52 - 47 = -4*s, -4*t - s + 71 = 0. Solve 3*z = 4*x + t, -2*x - 3*z = z - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5560 and 27923485.\nAnswer: 27929045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 16401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 381478412 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-10))\/((-8)\/20). Let z be (o\/(-6))\/(3\/(-56)). Let i = -12 + z. Solve -b - 14 = 3*t, -4*b - i = -t + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58088354 to the nearest integer?\nAnswer: 7622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 10)*(3*t - t - 11*t + (-2*t + 5*t - 4*t)*(-2 - 2 + 2) + 2*t + 0*t - t).\nAnswer: -96*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 2. Let n(l) = -7*l**2 - 4*l - 24. Let v(s) = -6*a(s) + 2*n(s). What is the derivative of v(j) wrt j?\nAnswer: -28*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41\/677, 10, -4?\nAnswer: -41\/677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctf. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*(-9)\/90*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -779983.75 rounded to the nearest one hundred?\nAnswer: -780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -122232?\nAnswer: 1\/30558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 2108?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 521944*u**2.\nAnswer: 4*u**2*(u - 130486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -0.02281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/192*-8*2\/57?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1044 - -10235263?\nAnswer: 10234216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 2:24 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -32565 at most as big as -32568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkxdaxjj. What is prob of sequence kxjx?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 189*d**2 - 8921*d + 148. Give v(91).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530 (base 9) to base 8.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3*m - 3. Let z(c) = -12*c**2 + 15*c - 15. Let p(s) = -5*t(s) + z(s). Let a(w) = -28*w**2. What is a(p(b))?\nAnswer: -1372*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 8 (b) 11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/16 and 7\/(-1) + (-4)\/((-14400)\/24174).\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*z**4 - 4403441*z**3 - 4886931*z**2 wrt z.\nAnswer: 576*z - 26420646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*k = -3*k + 2787, 2*l - 1106 = 3*k. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = 4*x, 4*j = 9*x - 8*x - 4. Let g be (-83 + 85)\/((-3)\/(9\/j)). Factor -2\/7 + 0*z**2 - 3\/7*z + 1\/7*z**g.\nAnswer: (z - 2)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 310*l**5*q - 2*l**5 - 2*l**3*q + 12*l**2*q - l**2 + 50*q wrt l?\nAnswer: 18600*l**2*q - 120*l**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8683*c**2 + 101 + 2*c - 8685*c**2 - 2*c to the form q*c**2 + i + g*c and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 47?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 108.616?\nAnswer: -104.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:02 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/25)\/((-2)\/(-20)). Suppose 4*l + 8 = 0, 3*c - 1718 - 213 = a*l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 95. Let j = 498\/5 + b. Let v = -5986\/17 + 352. What is the biggest value in j, 0.2, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 108*d**2. Let w(v) = 892*v + 901*v + 893*v - 2682*v. Calculate w(k(y)).\nAnswer: 432*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 56 = -10*h. Suppose 8 = -i - 5*l, 0*l - l - h = i. Let w(a) = -84*a. Let d(c) = -7*c. Give i*w(y) + 35*d(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(5)*-6)**2.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11676.423 - -11608.423063. Let c = 579 - 647. Let i = n - c. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35186, -35187, -35188, -35189, -35190?\nAnswer: -35191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpo when three letters picked without replacement from {h: 2, p: 1, v: 1, j: 1, o: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53685?\nAnswer: 3, 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3536\/5313 - 2\/1771. Let d be (30\/13 - 2)\/2. Which is the smallest value? (a) d (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*b**2 - 6*b - 10*b**2 - 1496 + 58*b**2 + 10*b wrt b.\nAnswer: 168*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 5, y: 2, g: 8}. Give prob of picking 1 y and 2 g.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78942426?\nAnswer: 2, 3, 157, 181, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (-612 - -578) + 21 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3 - 34818*c**2 + 34815*c + 69634 = 0.\nAnswer: -1, 2, 34817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 468947.7 millilitres?\nAnswer: 468.9477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510716 is divided by 54.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4*y + 16 = 0. Factor -9*n**y - 12*n**3 + 21*n**4 - 9*n**4.\nAnswer: 3*n**3*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*p - 4*p. Suppose -4*s - 3*b = s + 9, 0 = 4*s - 2*b - p. Suppose s = 4*t - 8*t - 8. Which is smaller: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -5*w + 33, -3*w = 8*d - 5*d - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -17, 1.\nAnswer: -17, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 3*p + 0*p)*(0*p - 2*p + p)*(5*p - p + 2*p).\nAnswer: -42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22*(8\/(-14) + 3\/6). Let c = d + 13\/7. Calculate the common denominator of 37\/38 and c.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2. Let a(x) = 4123181*x. Give a(h(t)).\nAnswer: -8246362*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.306 and 64.\nAnswer: -19.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/7, -5, -18\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*y - 4*y - 34 = 0, -5*g = 3*y - 59. Calculate the remainder when (-3)\/1 - (59 - 5)*-1 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = -2*k, 0 = -7*f + 7*f + 6*k. Solve 8*z + f + 29 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6064 or -6120?\nAnswer: -6120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 - -58. Suppose s = -15*a + 59 + 1. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 61. Determine h(-20).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*l**2 - 996 + 255*l.\nAnswer: -3*(l - 166)*(l - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let z = -35 + 21. Let y(h) = -1. Let b(a) = a**2 - 7. Let c(s) = z*y(s) + 2*b(s). Calculate i(c(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531 + -536. Sort -1, x, -0.8, -0.04, 0 in descending order.\nAnswer: 0, -0.04, -0.8, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202 and 3295125?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415263994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*g = 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -454*o + 455*o + 16 - 2*o**4 - 15 - 38*o**3 in the form m + s*o + r*o**2 + b*o**4 + q*o**3 and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022001121102021022 - -12?\nAnswer: -1022001121102021010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:10 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 103. Let a = s - 205. Let k = 505 + a. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.0899924 + -4.09. What is y rounded to seven decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = n - 34. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978 and 31449546.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x. Let h(z) = -3*z**2 - 7*z + 3. Let a(u) = h(u) - 4*i(u). Let g be a(11). Solve -4 = -g*k - l, 5*k + 5*l + 0*l - 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 1, b: 1}. What is prob of picking 1 b and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + -2. Let q = -3.356 - -0.356. Which is the closest to -2? (a) q (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43826019 greater than or equal to 43826019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -1.1. Let p = 0.3 - -1. Let m = v - p. Put 3\/5, m, 4 in ascending order.\nAnswer: m, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068.946mg in micrograms?\nAnswer: 3068946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s**3 + s**2 + 2*s + 1. Let q(h) = -4*h - 2*h + h - 2. Calculate the remainder when x(-1) is divided by q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(6 - 3 - 6)*(-5 - k**2 + 5).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 23 + 26 - 46. Let g be v(2). Calculate the greatest common divisor of g and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4886*o + 4 = 12847 + 15103 + 1370 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348205?\nAnswer: 5, 269641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 16893, -20\/13, 0, 0.4, -5 in increasing order.\nAnswer: -5, -20\/13, 0, 0.4, 16893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -57, -85, -4 in ascending order.\nAnswer: -85, -57, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v + 15 - 1403*v**2 + 1391*v**2.\nAnswer: -12*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + x + 554 = -3*x, 2*z - 216 = -4*x. Suppose 7*v + 187 = 4*v - 4*r, 2 = -2*r. Let h = v + z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 60 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000371771 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((2 + sqrt(99) - (sqrt(1331) + 1)) + -4 - (2 + sqrt(891) + sqrt(891) + 3)*-5))**2.\nAnswer: 2952*sqrt(11) + 74288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054693857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 2*x - 271515. Let d(c) = -2*c. What is d(u(n))?\nAnswer: 2*n**2 + 4*n + 543030","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*b**2 - 1495*b + 149*b**2 - 16 + 1499*b.\nAnswer: 10*b**2 + 4*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v - 12. Let h be x(10). Let t = h + -24. Suppose -t*d + 84 + 172 = 0. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*4 + ((sqrt(34)\/(sqrt(8)\/sqrt(4)))**2 - sqrt(17)).\nAnswer: -9*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21558 is divided by 20794.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/4*(-2132)\/(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -16.2. Let g be ((-96)\/18*3)\/((-2)\/11). Let b = 351\/4 - g. Is c greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15454.9999982497 - -15455. What is r rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45540 by 276.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -89, -0.2, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44413*j**2 - 130392*j**2 + 174802*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*a - 55, 3*y = -2109*a + 2113*a - 43 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327.2193 nanometers in millimeters?\nAnswer: 0.0003272193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 5. Suppose 2*t + 453 = -5*r, 5*t - r + 0*r + 1065 = 0. Let z = t - -215. Let a(j) = -1. What is z*f(k) - 2*a(k)?\nAnswer: -3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w = -1888. Let l = w - -1872. Let f = -531 + l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*c - 92*c - 36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2 + 6. Which is the nearest to h? (a) 3 (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229830 minus -2226729?\nAnswer: 2456559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269575 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 2 - 5 - 7*u**3 + 14.\nAnswer: -4*u**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41254, -41337, -41476, -41671, -41922, -42229, -42592?\n\"Answer: -28*u**2 + u - 41227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100000001001 + 11?\nAnswer: 1011100000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from fflffrrufffrrrrfurf?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -72*u**2 + 3. Let z(a) = -1127*a - 1126*a + 2255*a. What is k(z(c))?\nAnswer: -288*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 7*o - 4*o - 4*o**2. Let q(b) = -16*b**2. Calculate q(x(l)).\nAnswer: -256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 + 11 - 7224*j + 3613*j + 3612*j)*(2*j - 4*j - 3*j) to the form p*j + y + b*j**3 + r*j**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1450, -3001, -4532, -6031, -7486, -8885, -10216?\n\"Answer: 2*f**3 - 2*f**2 - 1559*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 3*f + 1 + f**3 + 6*f**2 + 5. Let g be i(-7). Is -1\/6 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*x**3*y**2 + 3*x**3*y + 254*x**2*y**2 - 3*x*y**2 - 896*x*y - 19*x + y**2 wrt y.\nAnswer: -14*x**3 + 508*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 15*c + 318. Let o be u(11). Sort -1257, o, 0, -2 in decreasing order.\nAnswer: 0, o, -2, -1257","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 15*y + 1471. Let w = -71 - y. Solve -2*i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juujeujhneeueeeuur. What is prob of sequence hu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1858 (base 11) to base 8\nAnswer: -4472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -48, -187, -464, -927?\n\"Answer: -8*d**3 + 3*d**2 - 2*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*o + o - 2, 5*t = -3*o + 10. Suppose 0 = u + 3*y - 36, 0 = t*u + 2*y - 68 - 20. Calculate the highest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 1500649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232*l**5 - 11*l**2 + l wrt l.\nAnswer: 13920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-93)\/6*-6. Suppose 2*j - u = -2*j. Suppose 0 = -6*l + l + 450. What is the remainder when l is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4 + 97*n**3 + 133*n**2 - 5361*n + 5130 = 0. Calculate n.\nAnswer: -95, -9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.1 - -24. Which is smaller: 5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3954250 to the power of 1\/2, to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1759 + 0.\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 194.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6049229?\nAnswer: 17, 47, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 + 570. What is the remainder when v is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(96))\/(sqrt(10)\/(sqrt(2) - sqrt(2)*2)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 375, 0.044, 2, 0.3?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/(13\/5). Let r(d) = 2*d**2 - 4*d**2 - 2 - d + 3*d**2. Let g be r(2). Which is greater: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r - 2. Let o be h(-1). Suppose m = -b - m - 3, 2*m + o = 0. What is the smallest common multiple of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 17629808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3.9 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/6 + 101*d\/6 + 17 = 0?\nAnswer: -1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 6318 = 4*x + 9*o, -o - 4740 = -3*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2568 divided by 642\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 500, 0.4, -0.068?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1573)*-2)**2 - sqrt(1573)*1*-3.\nAnswer: 33*sqrt(13) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4232)\/(-5290))\/(-2*1\/35)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 709 - 115. Is 66 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 29 in descending order.\nAnswer: 29, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - d. Let r(y) = 3*y**3 + 2*y**2 + 5*y - 3. Let q(a) = 4*n(a) + r(a). Suppose -11*h + 13*h = 6. Calculate q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*((-16)\/(-36))\/(4\/30). Differentiate 119 - 35 - 62*u + n*u wrt u.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/3, 3, 5\/3, -3\/28, 2\/7, 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2171647 (base 11) to base 14\nAnswer: -71206c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.793? (a) 0.2 (b) 12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 46 = 6*z - 3*z, 0 = -2*z - 3*n - 39. Let b be 30\/(-6) - z - 3. Solve -b = 4*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - o + 1, c - 2*o - 5 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*m**3*u**2 + 2*m**2*u**2 + m**2*u + 3*m*u + 4*u**2 wrt m?\nAnswer: -90*m*u**2 + 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/4 + 1398207*n\/2 - 1954982814849\/4 = 0. What is n?\nAnswer: 1398207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-85)\/(-25) - (-2)\/(-5). Suppose -2*d + 3 = 3*s + 2*d, -a*s - d = -3. Let w(c) = -1 - s - 6*c + 1. What is w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/6600*160\/(-576)?\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25594711 divided by 8\nAnswer: 25594711\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 434\/21. Suppose -13*r + 16*r - d = 0. Let z = -5.7 + 5.7. What is the closest to z in r, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24920 divided by 4\nAnswer: 6230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110410 (base 7) to base 10.\nAnswer: -19411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 0 - (-3 + -30). Suppose a = 4*v - 31, -2*v = v + 5*a - t. Suppose -l + v = -1. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2704*l - 43263. Let k be i(16). Let x(z) be the second derivative of -2*z + 0 + 1\/2*z**2. Let v(n) = -n - 6. What is k*v(y) + 6*x(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*i + 546*i - 198 = 426 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36.7 > -48067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:32 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 7*o**2 - 5*o + 8. Give f(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j + 12599 - 20707 = 234*j + 21822 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895677.\nAnswer: 3, 298559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + 222*b**2 + 6841*b + 25. What is i(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 61*t**2 + 190*t - 124. Determine x(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 + 24*z**4 + 8*z**3 - 192*z**2 - 396*z - 216 = 0.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2404, -4755, -7058, -9319, -11544, -13739?\n\"Answer: -m**3 + 30*m**2 - 2434*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) 1164 (c) -9\/13 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let t = 11 + -8. Which is the nearest to f? (a) t (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-11 - 3) + 13 + -4) - -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -639989.55 to the nearest one thousand.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.67825935 to 3 decimal places.\nAnswer: 11.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309164, -309144, -309102, -309032, -308928, -308784, -308594?\nAnswer: -308352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110101110100110101010 - 10?\nAnswer: 101110101110100110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12*7\/224)\/(27\/60)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, -96, 53.\nAnswer: -96, -4, -1, 0, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-13 - -3) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664482472?\nAnswer: 2, 547, 151847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-9*95\/513))\/((-2)\/(80\/6))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**2 + 397*d + 181. Give w(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.866572ns in hours?\nAnswer: 0.00000000001829627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**3 + 2*s**2 - s. Let b be g(1). What is the highest common divisor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 320, 393, 524, 719, 984, 1325, 1748?\n\"Answer: z**3 + 23*z**2 - 3*z + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62107 + 88676. List the prime factors of o.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22646 or 701980\/31?\nAnswer: 22646","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 80826.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 2. Is 9 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/5*(-8)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 0.4, -3, -0.2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = 3*p, -4*p - 10 = -4*k + 6*k. Let s(n) = 2*n**2 + 0*n**2 - 5*n + 8*n. Give s(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - 4.9. Let g = -20 - -17. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(3 - (-76)\/12). Let u = g - -594. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56001*c**3*k**3*r + 2*c**3*k**2*r - 5*c**2*k**2 - 6*c**2*k*r + 492*c*r**2 + 28*k**4*r**2 - 3*k*r**2 wrt k.\nAnswer: -336006*c**3*r + 672*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -1\/24*l**4 - 3*l**2 + 0 - 1\/6*l**3 + 0*l. Differentiate b(c) wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)*w)\/w**0)**(5\/7) assuming w is positive.\nAnswer: w**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 864 = r, t = 3*r - r - 1672. What is the lowest common multiple of 1540 and r?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -450*g + 9. Let m be w(-2). Let a = m + -471. Suppose 4*u + 2*u = a. What are the prime factors of u?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**3 + 6*x**2 - 2 - 6*x**2 + 2*x. Suppose 0 = 48*y + 35 - 179. Let n(d) = -6*d**3 + 3*d - 3. What is y*u(g) - 2*n(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 23. Let s be x(7). Let n(r) = -4*r - 9. Let i(w) = w + 2. What is s*i(v) - 2*n(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*n + (2 - 4 + 4)*(2*n - n + 5*n + (0*n + 6*n + 6*n)*(3 + 2 - 6)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426842 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30344035259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 2*s + 1. Let h be x(-2). Let l = 1451 - 1453. Which is the closest to l? (a) h (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 525*z**2 - 33140*z + 1640160 = 0.\nAnswer: -67, 36, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42618.\nAnswer: 2, 3, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, f: 2}. Give prob of sequence ufu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (3 - 2 - -422) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5809 or 0.2?\nAnswer: 5809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.36906994.\nAnswer: -0.73813988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*(58\/10 - 5). Let n(m) = -m**3 - 6*m**2 + 6*m - 8. Let c be n(-8). Calculate the greatest common factor of c and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 3. Let m(w) be the third derivative of -w**4\/8 + 2*w**3\/3 + 4*w**2. Determine -3*m(t) + 4*q(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 17*d - 72 = 0. Let t = 0.25 + -0.12. Let o = 0.03 - t. Put o, -0.4, d in increasing order.\nAnswer: d, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134047691, 268095375, 402143059, 536190743, 670238427, 804286111?\nAnswer: 938333795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3354 = -12089. Suppose 3*c - 1154 - l = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 44\/(-8) - (-1 + 25). Let n = 347\/14 + t. Which is the smallest value? (a) -3 (b) n (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136.6 - -137. Let w = -13 + 9. Let n = -20 + 19.5. What is the closest to 2 in w, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -695 + 3450. Let o = -2691.54 + c. Let r = o + -65. What is r rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let g = 5 + p. Let x be g\/(10\/4) - 2. Put -2, x, 1 in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1761605 + -251911425\/143. Let p = -202\/13 - m. Is -3 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - 3\/1088220*-961301. Let s = -2\/18137 + l. What is the common denominator of s and -19\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 = 72. Let t = -7 - z. Suppose 4 = -5*h - t. Sort h, 3, 2 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*p + 46, -74*v + 72*v + 132*p - 136 = 129*p for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.991 - 1.991. What is the third smallest value in g, 0.32, -3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82730.45km in meters?\nAnswer: 82730450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**7\/210 + 53*t**6\/30 - 2809*t**5\/15 + 5*t**2 + 562*t. Find m, given that j(m) = 0.\nAnswer: 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Is 1352149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 227805 (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v + 13. Let s be n(4). Let g = 31 + s. Let r = g - -38. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1021979*w**3 - 357197*w wrt w?\nAnswer: -6131874*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b)**8*b*b**(-3)*b**8*((b*b*b**4)\/b*b*((b\/(b*(b*b**(-6\/13)*b)\/b)*b)\/b)\/b)**(6\/7) assuming b is positive.\nAnswer: b**(894\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 468.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*f - 80 = 12*q - 169*f, -30 = 3*q - 3*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54873, 109725, 164573, 219417, 274257?\n\"Answer: -2*m**2 + 54858*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n = 32 - 86 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7397942 and 200684.\nAnswer: 162754724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, m: 1, r: 3}. Give prob of sequence aarr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a + 66*a + 102*a.\nAnswer: 179*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110369.95974 - 0.02443.\nAnswer: -110369.98417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 271 = -3*x + 1463, 0 = -5*x + 5*n + 1980. Let h = -234 + x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -2*j**2 + 6. Let w(u) be the second derivative of 0*u**2 + 1\/6*u**3 + 0 + 2*u. Calculate w(c(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -20.8. Let g = -0.2 + r. Which is the third smallest value? (a) -2 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4804*q - 431367 + 114303 = 0 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:41 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 16 = -2*q, 0 = 5*n + 2*q - 20. Calculate the least common multiple of n and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5)\/((-2)\/(-10)). Suppose q - 10 = -b. Let v(o) = 2 + 9*o + 5 - o**2 - 2*o - 8 - 5 + 3*o. Give v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.047, 3, -6, 0.05, 5, 0.4 in ascending order.\nAnswer: -6, -0.047, 0.05, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 65. What is the greatest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896 - 0.5.\nAnswer: -1896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/4 + (-1)\/4. Suppose -5*l - 193 = -42*i, 45 = -5*l + 15*i - 10*i. Sort 0, 3, l, v in descending order.\nAnswer: 3, 0, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o**2 + 2*o**2 + 32*o**2)*(-2*o**3 + 3*o - 3*o).\nAnswer: -42*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 1.3. Sort -4, 0, z in ascending order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -3*k. Let y be 0 - (16\/2)\/k. Let m(d) = -2*d**y - 4*d**2 - 2*d - d**3 + d**2. Give m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 6*f - 12. Suppose 4*l = -a - 6 - 22, 0 = 3*l + a + 20. Let n be b(l). Solve -17 = -c + n*u, -u = -4*c - 3 + 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 10*m - 3*m)*(3*m - 4*m - 4*m)*(0*m**3 - 2*m**3 + 4*m**3).\nAnswer: 160*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17269 and 9050616.\nAnswer: 9033347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2585*c + 272938 = -3678*c - 234365 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 - 11*u**2 - u - 6*u**2 + 18*u**2 in the form a + t*u**2 + z*u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-5)\/(-350)*1\/((-34)\/170)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(3 + 1 - 2)*(2*x - 474 + 7*x - 313 + 2*x).\nAnswer: -22*x + 1574","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*u**2 - 9*u + 10 + 37*u**2 + 10*u)*(9*u - 10*u + 12*u).\nAnswer: 44*u**3 + 11*u**2 + 110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2237 divided by 9.\nAnswer: -2237\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(19))*2 - (-1 + sqrt(76)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**6 + 6*f**2 + f**2 - 4*f**6 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 78, 14, 2, 13, -25 in decreasing order.\nAnswer: 78, 14, 13, 4, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-8)*(7 + 1). Let s(y) = -y**3 - y**2 + 3*y + 3. Let k be s(-3). Solve -k = l - a*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 116, 1.2, 1\/11, 0.7.\nAnswer: 1\/11, 0.7, 1.2, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4.5, -4, -1, -11, 3, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 6)*(305 - 301 + 75*d + 43*d + (3*d - 3*d - 2*d)*(2 - 4 + 4)) + d + 0*d + 0*d to j*d + i and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46.4? (a) -6 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3) + (-6)\/(6\/1). Suppose 0 = -2*a - 4*d + 8, 7*a - 2*d - 20 = 2*a. Sort a, b, 3 in descending order.\nAnswer: a, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 8. Calculate a(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjjtjjjtjjj. Give prob of sequence jt.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -6*a + 593. Calculate the highest common divisor of 45 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 33 - (-14 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13*b**3 - 6*b**2 + 63*b + 1. Let k(n) = -11*n**3 + 5*n**2 - 62*n - 1. Give 6*k(c) + 5*l(c).\nAnswer: -c**3 - 57*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 17*m**2 + 15*m + 16. Let h be x(16). Let r = 6 - h. Suppose 2*o - r = i, 2 - 3 = -4*i + 3*o. Solve u - i + 0 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -15, -2*j + r = 1 - 112. Suppose -6*d = -20 - j. Let v(t) = 2*t**2 - 18*t + 13. Is v(d) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7319025, 7319020, 7319015?\nAnswer: 7319010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 - 2*k - 7. Let c be n(-5). Let j = c + 210. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8858*c - 12. Let i be g(-14). Suppose -2*s - h - 62000 = -3*h, 0 = -4*s - 2*h - i. Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d00 + -28e?\nAnswer: -608e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242.3 - 242. Put y, 2\/7, 50 in decreasing order.\nAnswer: 50, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 20*w**2 + 17*w + 17. Determine y(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3795 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -207*a**2 - 99*a - 4. Let n(m) = 14*m**2 + 1. Let b(w) = g(w) + 4*n(w). What is the second derivative of b(t) wrt t?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3902776 and 1275756.\nAnswer: -2627020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95809 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/(-30) - -6) + 2\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150387 divided by -1150387?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*h + 12054, -347*h - 24 = -351*h. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/2)*h*h**5*h)\/(h**(-1\/4)\/(h*h**(-3))))**5 assuming h is positive.\nAnswer: h**(135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:01 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9985 + 10161. What is the highest common factor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n. Let b(a) = -51*a + 21. Let z be (0 - (0 - 1)) + 20. Let s(l) = -5*l + 2. Let x(j) = z*s(j) - 2*b(j). Determine x(r(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2458647 and 0.509.\nAnswer: 2458647.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167568726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8219, -8249, -8291, -8351, -8435, -8549, -8699, -8891?\n\"Answer: -t**3 - 23*t - 8195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9121034 is divided by 1324.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 5, -81, -199, -355, -555?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2 - 971324*i + 2913990 = 0. Calculate i.\nAnswer: -485665, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -21. Let d be 2 + 21\/(-12) - h\/(-4). Solve -1 = 3*n + d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 2001380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, 18, 62, 142, 270, 458, 718, 1062?\n\"Answer: 2*b**3 + 6*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -13*o**2 + 3*o - 15. Let k(r) = 13*r**2 - 4*r + 14. Let w(l) = -3*k(l) - 4*z(l). Find the first derivative of w(g) wrt g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/27? (a) -7 (b) 5 (c) 2\/5 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*n + 451*n - 1009*n.\nAnswer: -1171*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (447\/90 + -5)*(-47 + 0). Which is smaller: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 60. Suppose -4 = -4*l + 3*v, 3*l - 20 = -6*v + 4*v. Solve 4*o = -0*o - b - 13, l*o = 4*b + y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.347703 - 28.366. What is r rounded to 4 decimal places?\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*m + 23 + 141, 0 = -4*m. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + w**2 + 2*w - 1. Let r(t) = -5*t**3 - 10*t**2 + 8*t - 2. Determine -4*k(j) + r(j).\nAnswer: 3*j**3 - 14*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1933975cm to millimeters.\nAnswer: 1.933975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 196\/(-56)*1354\/(-7). Which is smaller: 676 or x?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 208 - 115. What is the remainder when t is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48136*-4\nAnswer: 192544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(55)\/(sqrt(45)*4) - sqrt(110)\/(sqrt(60)\/(sqrt(6) + sqrt(294)))*-5)*6.\nAnswer: -24 + 481*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*z = 33, 54*k + 33 = 57*k - 3*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 313*k**2 - 906*k - 379999. Determine l(-312).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7303*z + 8366*z + 2 - 24036*z + 8365*z.\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693741?\nAnswer: 3, 71, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 28417?\nAnswer: 284170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -113*t + 432*t. Put 0.7, t, -0.3, -7, 3 in increasing order.\nAnswer: -7, -0.3, t, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 20, -23, 6, -80, 0.1 in increasing order.\nAnswer: -80, -23, -1\/11, 0.1, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541 = 63*i + 100 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -71119?\nAnswer: -71119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -0.015 (c) 19\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 2*q**4 - 2*q**3 + (-3*q - 3*q - 2*q - 3)*(5*q**2 - 5*q**2 - 5*q**3) to b*q**4 + u*q**2 + h*q**3 + z*q + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 302720707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.241 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(2\/35)\/(x**3)**10 assuming x is positive.\nAnswer: x**(-1052\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 40728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z - 1. Let h be q(1). Let s be -2*-2*(-2)\/h. Suppose -s*g = -4*g + 26. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*k - 18, 0*v - v = 5*k + 2. Suppose -2*r - 5*f - 10 = -7*r, 0 = 3*r + v*f. Is r greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (232 - 16 - 2)*(-4 + 0 + 2)*(1 - 3*s - 1) in the form u + x*s and give x.\nAnswer: 1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 47.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34.1354 weeks?\nAnswer: 344084.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82\/105 - -16\/15. Put 3\/5, -3, h in decreasing order.\nAnswer: 3\/5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/5 - 5978333*g**3\/5 + 11913486493518*g**2\/5 - 1582727330706324620*g - 7913648567024094952\/5.\nAnswer: (g - 1992778)**3*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5654.3917 + -3.2083. What is x rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223030 (base 4) to base 14\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90\/(-30) - (-13130)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33214 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/48 and -31\/5190.\nAnswer: 41520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 94 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 3\/224 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**2 - 21*i + 50. Let m be c(6). Solve 0 = -3*g + n - 6, -4*g + m*n - 10 = n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2917323 and -1.1?\nAnswer: 3209055.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (4 - (-3 + 4))) + (-213 - -215).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-40))\/(-2 + (-4)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 17*w + 159 = -w, -4*m + 2*w + 179296 = 179268 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*q + 7599, 2*q + 7634 = 4*a - 0*q. Suppose 33*s + 718 = a. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-45 - (14 + -4 + -32)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*g**2 + 4*g - 4*g - 2*g**2 + 2*g**2 - 4*g**2 + 3*g**2 + 2*g**2 + 3*g**2 - 3*g**2 + (-3*g + 3*g + 2*g)*(0*g + 6*g - 5*g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2. Let t(p) = 10953*p. Give t(z(d)).\nAnswer: 10953*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/216 and 161\/540?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.855348512 rounded to 4 decimal places?\nAnswer: 3.8553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 228124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -21*r**2. Let m(o) = -o**3 + 13*o**2 - 13*o + 12. Let j be m(12). Let h(i) = 4 - 4 + j + 2*i**2. Give n(h(x)).\nAnswer: -84*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l + 263 - 150 = -195 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**2*i*z + h**2*i - 4*h**2*z**3 + 17*h**2 - 198*h*i*z - 2*h*i - 3*i*z**3 wrt h?\nAnswer: 16*i*z + 2*i - 8*z**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1051857144.75098 + 1051869758. Let t = 12613 - w. Let r = t - -0.25. Round r to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103, -112, -129, -160, -211, -288, -397, -544?\n\"Answer: -k**3 + 2*k**2 - 8*k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345 = -x - 4*l + 364, -4*x + 3*l = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -10. Suppose 2*p + 2*p + 5*b - 92 = 0, 5*p - 5*b - 115 = 0. Suppose -7 = -k*x + p. What is the remainder when 11 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -297 and -297 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1. Let n(h) = -h - 8. Let d(g) = n(g) - 2*s(g). Determine d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6307.822 kilograms?\nAnswer: 6307822000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -21*y - 2. Let n be c(-1). Let d(h) = -2*h + h**2 - 12 - n + 30. Let z(q) = -q**2 + 4*q. Let j be z(3). Determine d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 119\/35 + (-6)\/15. Solve 5*p + 4*k - 9 = 0, -y*p - k + 4*k = -27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -26*b - 1675. Give c(-65).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 705 = 5*y - 2844, 5*y - 4*q = 2153. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -4, -0.2, -3\/7, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 432*g - 8. Let k(v) = -434*v + 7. Calculate -7*k(p) - 6*q(p).\nAnswer: 446*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 31. Put i, -4, 3 in ascending order.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/8)\/((-2)\/(-24)). What is g rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146 - -279. Let v = 64 - 26. Suppose v*h - 38 = 36*h. What is the highest common divisor of h and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 42*k**2 + 107*k + 45. What are the prime factors of o(-19)?\nAnswer: 2, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 - 33036*c\/5 + 90948108\/5.\nAnswer: 3*(c - 5506)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155.83 + -3.17. Let c = m - -178.8. What is c rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/42 - 42705\/(-7). Let x = 91481\/15 - v. What is the common denominator of x and 65\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = y + 3*c, -y + 14*c - 10 = 10*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) - -12*130\/(-624)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(30\/(-5) - (-4 - 0)). Does 16 divide -7*(2 - j)*(114 - 210)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -13) + -3 + 5 + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05919 times -28?\nAnswer: 1.65732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*w - 15 = -1757*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200*p**4*u**2 - 7*p**3*u**3 - 26*p**2*u**2 - 15*p*u**3 wrt p?\nAnswer: 4800*p*u**2 - 42*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -39*s**3 + 5*s**2 - 3*s - 5. Let c(t) = 20*t**3 - 3*t**2 + t + 3. What is 5*c(b) + 3*i(b)?\nAnswer: -17*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 - ((-1176)\/(-6))\/2. Let g = 131 + u. What is the remainder when 115 is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 b when four letters picked without replacement from sbbbbs?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.403 - -0.187. Let x = -0.41 - t. Let u be 16\/154 + 4\/(-14). Sort u, x, 9.\nAnswer: x, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 16935204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5656 and 267448?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -16, -16, -10, 2, 20, 44?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000098825 rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34316*q**3 + 8831953*q**2.\nAnswer: -205896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 9*i + 9. Let u be n(-9). Let w(d) = 2*d - 13. Let x be w(u). Solve -2 = x*v + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43046*s + 86087*s - 43042*s - 5*s**2.\nAnswer: -5*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(-150)\/20. Suppose 17*g + 14 = q*g. Let b(l) = 2*l - 10. Let v(h) = 2*h - 9. Calculate g*v(y) + 6*b(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2702, -2677, -2652, -2627, -2602?\n\"Answer: 25*q - 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/9)*((y*y\/((y**(-10)*y)\/y)*y)\/y)\/y*y**(-6\/11)*y*y\/(y*(y\/y**8)\/y*y) assuming y is positive.\nAnswer: y**(1816\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 300*r - 5400.\nAnswer: -4*(r + 30)*(r + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10070 divided by -42\nAnswer: 5035\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*w - 2*w = -18, 3*w - 6 = c. Let r be 225\/(-6)*2\/9*-3. Suppose -8*s = -3*s - r. Solve 0 = -s*g + 5*i - 13 - 2, 0 = i - c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14140*i = -14207*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -127, -191, -255?\n\"Answer: -64*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:33 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/5 of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -17.8 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/6)\/((-24)\/(-36)). Let y(i) = i**3 - 8*i**2 + 4. Let l be y(h). Solve 0 = l*k - 14 + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 1 - 2*h**2 + 0 - 1214*h**3 + 2 - 5. Is y(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 - (5 + -13 - (12 + 3 + -21)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6995580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 24769, -1994 in ascending order.\nAnswer: -1994, -4, 24769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*0.48\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81598.89983 + -81602.6. Let a = -3.7 - p. What is a rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h, -7*y = -2*y - 5*h - 1215. What is the highest common divisor of 76 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + (3 - 1) + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let s be 2\/(3 - (-39)\/(-15)). Let c(y) = y**3 + 3*y**2 - y - 4. Let l(m) = 4*m**2 - 2*m - 5. Let f(g) = 2*c(g) - 3*l(g). Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 + 4*f**2 + 11*f + 15. Let k(i) = 4*i**3 - 4*i**2 - 10*i - 15. Let j(r) = -6*c(r) - 7*k(r). Is j(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63, 60, 55, 48, 39, 28?\n\"Answer: -v**2 + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5 + 3159a5?\nAnswer: 3158b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3424 - 344?\nAnswer: -3770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230541836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12183 is divided by 4053?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 18606.\nAnswer: 2\/9303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 12:52 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.2, -31, -56?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 51. Calculate n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12 + 5 + 306845\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 9*o**2 - 6*o - 11. Let y be d(8). Let q be 6\/(-12) + y\/2. Solve 0 = -q*l + p - 11, -l + 4*p - 14 - 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35300 to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26868 = 19*r - 42335 + 10322. Calculate the smallest common multiple of r and 24.\nAnswer: 24792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76166.31 months to years.\nAnswer: 6347.1925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 5*v - 10, -620*v + 623*v = z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1604 + 3207\/2. Which is the nearest to 0? (a) k (b) -1\/13 (c) -2\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 16. Let t be n(-11). Let q = -3 - t. Solve -w = q*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-6)**2*-3.\nAnswer: -42768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 4*s + 2371 = 0, -2*i + 4726 = -4*s. Let d = -28229\/12 + i. What is the common denominator of (69\/16)\/((-27)\/(-12)) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**6\/2 + 97*d**4\/2 - 845*d**3\/3 - 409. What is the third derivative of n(m) wrt m?\nAnswer: -180*m**2 + 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31 in 2, 4, -6, 2.8, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.4, -2\/5, 7, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.1 + -49. What is f rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4461 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2330543 (base 6) to base 3\nAnswer: 20010121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*t**2 - 26 + 26 + 4*t**2 - 2*t**2 - 4*t**2 + (0 + 0 - t)*(-2*t + 0*t + 5*t).\nAnswer: -53*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 1. Let j be p(-4). Suppose 53 = 2*o - j*w, -3*o - w + 62 = -5*w. Let z be -2*1\/(-2) - -125. Calculate the highest common divisor of z and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, e: 1, u: 2, c: 1, z: 2}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {z: 9, s: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b0 (base 15) to base 6.\nAnswer: -4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*i**4 - 196*i**2 wrt i?\nAnswer: -1104*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*q + 8885 = 0, 22328 = 3*w + 3*q - 4327. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 18. Let j be o(3). Solve 7*n - 4*n = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171, 2342, 3525, 4726, 5951, 7206, 8497, 9830?\nAnswer: 11211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2762990*r**3 + 1782338*r**2?\nAnswer: 16577940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222541 + -1?\nAnswer: 222540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:20 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 + -3 + 4\/(-2). Let c be (-14)\/(-63) + 4\/v. Suppose -2*b - 2*b + 2640000 = c. Round b to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6662, -13319, -19968, -26603, -33218, -39807, -46364?\nAnswer: -52883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*r = 22 - 7, 3*r = 5*p - 9. Solve -m = p, -6*m = z - 9*m - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 3704060?\nAnswer: 18520300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*q + 129 = 0, 2*z - q = 5*z - 125. Let w be z + (-2 - (3 - 5)). Suppose 5 - 26 = -r + 5*n, -2*r - 5*n = -w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -927482965\/3 or -309160988?\nAnswer: -927482965\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 9:11 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**8\/3360 + q**7\/2520 - q**4\/6 + q. Let y(b) be the third derivative of r(b). What is the third derivative of y(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778209?\nAnswer: 3, 17, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17652 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095328079.\nAnswer: 41, 26715319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 59*v**2 - 6*v + 4. Calculate the remainder when t(-1) is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 302?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -21.2. Let x = t + 2.7. Sort x, 0.2, 4.\nAnswer: 0.2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**4\/12 + n**3\/2 + 11*n**2. What is l(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/38440 and 7\/3038310?\nAnswer: 376750440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102749097 = -70*y + 102751407 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n = -5*d + 30, n = 499*d - 503*d + 24 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttbtbtttttttbtbt.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11465423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 421 and -2.38753?\nAnswer: -1005.15013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871167 is divided by 497?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2106480 and -14\/4256845?\nAnswer: 204328560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/d)**(-14) assuming d is positive.\nAnswer: d**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21474882 and 249054.\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + 13. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.19 - -2.19. Which is the biggest value? (a) j (b) 0.4 (c) 1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20222010101 (base 3) to base 7.\nAnswer: 1110556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from httehttw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9*k, -h + 4*k = -3. Suppose 3*g + 6 = h*r, 4*r - 26 = g - 6*g. What is the third derivative of 939 - s**g - 939 - 2*s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719, 47, -625, -1297, -1969, -2641?\nAnswer: -3313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 + 409 = 10*g. Let u(w) = 3*w - 2*w - 19 + 9 + g. Let l(y) = 271*y**2. Determine u(l(m)).\nAnswer: 271*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p + 7. Let t(h) = -h**3 + 4*h**2 + 2*h - 2. Let j be t(4). Let b be w(j). Suppose -3*n = 4 - b. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u - u + 4*u - u + u - 4*u - 5*u + 2 - 2 + 3*u - 4*u - u + (u - u - 2*u)*(0 + 2 + 0) + 0*u - u + 2*u + 3*u - 3*u + 2*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21048 + -21053. Is 742 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133.4 + -16663.1206.\nAnswer: -16796.5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 5*o + 29\/2*o**2 - 1. Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**5))\/(x\/x**(-13)))\/(x**(-14\/5)*x*x**11*x) assuming x is positive.\nAnswer: x**(-146\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 488 = 3*i - 291, -i = -5*u + 1956. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/1447 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1592 - -1590. What is the smallest value in m, -921, -1\/3?\nAnswer: -921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = m - 116. Suppose -3*c = -m - 58. Suppose -5 = t - c. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182936 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60382 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9522, -9528, -9536, -9546, -9558, -9572, -9588?\n\"Answer: -k**2 - 3*k - 9518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 19*l - 987 = 4*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0954 times 0.2?\nAnswer: -0.01908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 66315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -36b06?\nAnswer: -36b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.086468 + 0.138461. What is q rounded to four dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**2*w**3*y - 1190*v**2*w + 7*v**2*y + 35*v**2 wrt w?\nAnswer: 6*v**2*w**2*y - 1190*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 3*x**2 + (-2*x + 0 + 0)*(-x + x - 2*x) - 2*x**2 - 4*x**2 + 5*x**2 + 677*x + 672*x - 58*x**2 - 1352*x as r*x**2 + u + f*x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 201.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 3596.\nAnswer: 3592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 2*a**5 - 3*a**2 + (2*a**2 + 4 - 4)*(4*a**3 + 5*a**3 - 12*a**3) + 0*a**5 + a**5 + 0*a**5 + (-a**3 - 2 + 2)*(-6*a**2 + 3*a**2 + 2*a**2).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 29 = 6*a - 23*h, 16 = 5*a + 4*h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 11*y - 17. Is q(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 7 + 7. Let 36*r**l - 3*r**3 - 20*r + 8*r**4 + 8 - 20*r**5 + 20*r**3 + 23*r**3 - 52*r**2 = 0. Calculate r.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2619*c**2 - 4247*c**2 - 2 + 2*c.\nAnswer: -6866*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*h - 2315, -4*z + 2310 = -9*z + 2*h. Let w = z + 492. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1233828481.\nAnswer: 653, 1889477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 5*n = -28*i + 231, -i + 3*n = 49. Which is the third biggest value? (a) 3 (b) 2\/5 (c) 2 (d) i (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365440418?\nAnswer: 2, 7, 113, 230999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 17. Let c(w) = 3*w + 1. Suppose 5*s - 16 = s. Let g(v) = -s + 0 + 4 - v. Calculate z*c(d) + 5*g(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/15 and -19\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59951234 to the power of 1\/2, to the nearest integer?\nAnswer: 7743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3376005402 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 18184?\nAnswer: -54552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/j**(1\/15)*j*j)\/j**2)**(-13\/2))**(1\/2))**15 assuming j is positive.\nAnswer: j**(-377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 184\/23 - (-4)\/(-1). Suppose 0 = 4*v - u - 0*u + 42, c*v + 38 = -u. Calculate the remainder when 1078\/70 - 6\/v is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 108 = 15*a - 4*m, -5*m - 45 = -2*a. Let p = -29 + a. Which is greater: 2\/41 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -376047113*n + 401018456.\nAnswer: -376047113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 2. Let v(x) = 4*x - 7. Let c(f) = -7*i(f) + 2*v(f). Let h be 26 + -1 + (-4)\/(-2). Let s(a) = -17*a + 24*a - h*a. Determine c(s(p)).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13310 is divided by 494.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**3\/6 - 3*l**2\/2 - l. Let k be (0 + 0)\/(3\/3). Suppose 0*b + b = k. Give a(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917 a factor of 1243166234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 3 (c) 0.387 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1470\/11 - 31618\/231. Find the common denominator of t and -74\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 13*m - 10*m + 11 = -53, 4*m + 87 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1960735, 3921447, 5882157, 7842865, 9803571, 11764275, 13724977?\nAnswer: 15685677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2354509429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + ((sqrt(110)*5 - sqrt(110))*5 - sqrt(110)))\/((sqrt(10)*2 + sqrt(10))*2))**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 58447*c**3 - 4*c - 58458*c**3 - 3*c + 3*c + c**3 + (-2 + 2 + c)*(-2 + 2 + 2*c**2) to y*c**2 + q*c + l + a*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151081 is divided by 95.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414287 is divided by 414249?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*k = k + 7, 399*x - 402*x + 16 = -7*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/44 in -0.3, -5, -1.1, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8904791 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/5 (b) -7252\/5 (c) -0.13 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 74425.494?\nAnswer: 74425.494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*u**2 - 1\/5*u + 0 + 1\/10*u**3.\nAnswer: u*(u - 2)*(u + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18605.43nm to meters.\nAnswer: 0.00001860543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000346 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 2183138.\nAnswer: 130988.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 7*l**2 + 7*l - 1. Let h be k(6). Suppose 3*y = 4*u + 29, -h*y = 2*u - 4 - 1. Suppose 5*x - 122 = y*x. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166.76 + 163. Let q = -0.24 + n. Let m = 3\/2 - 2. What is the third smallest value in q, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d - 1, -r + 31 = -4*d. Suppose 24 = -4*k + 128. Calculate the remainder when (0 + 30)\/(r\/81) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2 - 6*m + 3*m - m - 5. Let n(j) = 9*j + 7. What is 2*n(a) + 5*u(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + 3 + sqrt(2448)*-1*-2)**2.\nAnswer: 156*sqrt(17) + 11501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 66809?\nAnswer: 133618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z**3 + 32*z**2 + 163*z + 5. Let o(k) = -15*k**3 + 13*k**2 + 81*k + 2. Let r(v) = -2*g(v) + 5*o(v). Find the second derivative of r(n) wrt n.\nAnswer: -78*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1.8. Put 1\/3, 1\/4, o in decreasing order.\nAnswer: o, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 760 divide 30176560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 0. Let g = 21 - v. Suppose -17*u - g = -18*u. What is the remainder when 30 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from tttcttivi.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by 339?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 6. Let c = 13 - -4. Let g = c - 17. Let v = 5 + g. What is r(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 9*d**2 - 8*d + 10. Let x be m(-8). Solve 0 = -3*q + 5*r + 7, -x = -0*r + 5*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.239028 + 0.22?\nAnswer: 1.459028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmbmbmmb. Give prob of picking 2 m and 1 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97? (a) 12 (b) -1\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 15*v + 15. Is 3 - 3 - v - -1724 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.4. Let t = 0 - f. Let i = -51 - -53. What is the closest to t in i, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11406 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/20)\/((-7)\/(-28)))\/(3327\/(-94265)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38931*a**6 - 2*a**4 - 20*a**3 + 17*a**2 - 500*a + 51 wrt a.\nAnswer: 4671720*a**3 - 48*a - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*3 - -1)\/1. Suppose -36 + 12 = 4*v. Let a be 2\/z + v\/20. Is -1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m + 4. Let o be i(0). Suppose a + a + 30 = o*g, -3*a = 5*g - 54. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/57 (b) -2\/3 (c) 0.06 (d) 3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47082*g**3*k**4 + 41*g**3*k**2 - 2*g**3*k + 29*g**2*x + 2*g*x + k**4*x + 9*k*x wrt k?\nAnswer: -1129968*g**3*k + 24*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - v**2 + 3*v + 1 + 3*v. Let j be f(4). Let c = j - -8. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 4, x: 4, k: 1, u: 1, s: 3}. What is prob of picking 1 i, 2 x, and 1 s?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w + 5*w + (-3 + 3 - 1 - 2 + 0 + 1 - 2 + 2 - 2 + (-3 + 1 + 3)*(-1 + 1 - 2))*(2*w - 1 + 1).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/4 - -1\/4. Which is the third biggest value? (a) t (b) 0.2 (c) -1\/6 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 912736.73 to the nearest 1000.\nAnswer: 913000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f**2 + f + 1. Let w be t(-1). Let h be (37*-1 - w) + 1. Let u = h + 54. What is the remainder when u is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*k**2 - k**4 - 24 - 9*k**3 + 4*k - 4*k**2 - 3*k**4 + 2*k**4 + k**5.\nAnswer: (k - 2)**3*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, o: 1, l: 3, k: 5, h: 2}. What is prob of sequence lo?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47601.\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -30, 77, -4, 84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 + 44*o + 235. Let d be f(-5). Solve -29*g = -130 - d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88444613 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1058, -2082, -3204, -4472, -5934, -7638, -9632, -11964?\n\"Answer: -8*i**3 - i**2 - 965*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*-6 + (sqrt(1029) - sqrt(1029)*-3))\/(sqrt(5600)\/sqrt(8) - (sqrt(252) + 3*sqrt(252))).\nAnswer: 22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152319 (base 13) to base 6.\nAnswer: -15042513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1965*g + 213249 + 59113 = 701*g + 64414 for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/52 + 54\/(-351) + 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510620940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 31*x**5\/12 + 297*x**4\/8 - 939*x**2. Find the second derivative of w(s) wrt s.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f3bf8 - 4?\nAnswer: 5f3bf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2422*d**3 + 517*d**2.\nAnswer: -14532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zdbejgb. Give prob of sequence jgbd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 5*h**3 + 3*h**3)*(5 + 2 + 4)*(-4 - 3*h + 3 + 5*h).\nAnswer: 22*h**4 - 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -114, -343, -768, -1449, -2446, -3819, -5628?\n\"Answer: -10*w**3 - 8*w**2 + w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4399800 and 0.14.\nAnswer: 4399800.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854698637378 + -3?\nAnswer: 5854698637375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -38, -107, -226, -407?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7968882.5 rounded to the nearest one hundred thousand?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 30 + 26 - 9*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 140\/105 + 35584\/(-3). What is s rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31199040 divided by -160.\nAnswer: 194994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/198 and 137\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**5 - 140*u**4 - 532*u**3 + 44*u**2 + 1164*u + 720 = 0. Calculate u.\nAnswer: -12, -5, -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 5) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111 + (-3)\/1)\/(-36 - 138\/(-4)) + -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w + 189*w - 2648*w**2 + 1402*w**2 + 161*w - 54*w wrt w.\nAnswer: -2492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333079001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 490 and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6703\/8 - 839. Is 0 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 + 264. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -0.01541, -3\/7?\nAnswer: -0.01541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245932 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 0, -6 in decreasing order.\nAnswer: 0, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167683 or -167272?\nAnswer: -167683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 174*m - 187. What are the prime factors of k(4)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/193 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/9 + 5968*k\/9 - 154492\/9.\nAnswer: -(k - 5942)*(k - 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 841 and 29?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 38 = 3*n - 82, 0 = -5*n - 3*c + 198. Calculate the remainder when 74 is divided by n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 12*z - 492. Let m = z + -50. Solve -i + 4 = m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-29440)\/(-224))\/40)\/((-8)\/(-84)*-3)?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*i + i + 0*i + 3*i + (4 - 4 + 1)*(0*i + 3*i - 4*i))*(-32*i**2 - 24*i**2 + 3*i**2 - i**2).\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 13. Calculate i(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -42, -64?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z = -t + 64*z + 26, -5*t - 2*z = -84. Calculate the highest common divisor of t and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 383*u**4*w**2 + u*w**2 + w**2 + 35*w wrt u?\nAnswer: 1532*u**3*w**2 + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1641156 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*w**4 + 0*w**4 - w**4) + (-w**2 + 5*w**2 - 3*w**2)*(w - w + w**2).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15513 is divided by 254?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/1032*118\/(-295).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(121)*-1 + (sqrt(121)*2 + sqrt(121))*-3))\/(6*(((sqrt(704) - sqrt(704)*-2 - sqrt(704)) + sqrt(704) + sqrt(704) + sqrt(704))*1 + sqrt(704))).\nAnswer: 13*sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, e: 4, g: 4}. What is prob of picking 2 g and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4\/36 + 0)*-1)\/((-1)\/9). Let z be 1*(-2 + (-7)\/(-2)). Let m = 9 + -9.4. Which is the fourth biggest value? (a) 0.6 (b) z (c) m (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k - 26. Let o be t(3). Let c = -502\/5 + 101. Is o greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(204)\/(sqrt(6) - -1*sqrt(486)))\/(4*sqrt(300)\/sqrt(6)))**2.\nAnswer: -17\/8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 3*k + 4. Let i(a) = 2*a + 4. Let s(t) = -i(t) + u(t). Let q(c) = c - 6. Let g be q(4). What is s(g)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -244, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -87573979?\nAnswer: -87573978.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*h - 474, -d + 3*h + 661 = 175. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -80\/357 and 79\/126.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289 - 227. Suppose -4*v = -4*n + 72, -7*n + 10*n - d = -v. Solve a + n = 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 1. Suppose -s = s + 12. Let o(v) = -12*v**2 + 2*v - 5. Let w be (-1)\/(-1) - (-11 + 3 + 8). Let g(q) = s*h(q) + w*o(q). Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2174627 is divided by 26200?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/16)\/((-1)\/72). Calculate the greatest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4402240223 - 111?\nAnswer: -4402240334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*n = -2*n + 16, 2*n = 8. Suppose 24 = -11*i + 14*i. Suppose -5*a = 5*g + 10, 2*g = 4*a - 0 + i. Sort o, g, 4 in increasing order.\nAnswer: g, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 17, 4 in ascending order.\nAnswer: -3, -1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.11. Let h = 133610 - 133612. Which is the second smallest value? (a) -11 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*p + 58*p - p)*(-1 + 2 + 1) + 3*p + 2*p - p + (p + 3*p - 3*p)*(2 - 2 + 1) to the form d + s*p and give s.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12819385*j - 12819381*j - 24*d = -76, -2 = -4*j - 2*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f + 16. Determine x(11).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 16 = -2*k, -3*v + 2 = k - 2*v. Calculate the remainder when 112 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*l - 1372323, -84*l + 79*l + 5*p = -2287265. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/19 + 104*i + 28056\/19.\nAnswer: -2*(i - 1002)*(i + 14)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*a = 219*a + 1725 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48623470 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 9. Let x be f(3). Let r(i) = -i**3 + i**2 + 3. Let o be r(0). What is the remainder when 21 is divided by x\/(2 - o*(-2)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 115 = -1135. Let h(b) = -b + 8. Let f be h(4). Suppose f*j = -2 + 14, j = -5*d + 118. What is the remainder when m is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -16*j - 23 + 69 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 2*n. Suppose -x = 2*x + 9. Let m(t) = -6*t**2 + 6*t. Let p(o) = x*m(o) + 10*s(o). Find the second derivative of p(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34225 or 34250?\nAnswer: 34225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 - 10*g. Let x(c) = -11*c**2 + 6*c - 4. Let u(r) = -10*r**2 + 6*r - 3. Let l(f) = -4*u(f) + 3*x(f). Let d(w) = 11*l(w) - 6*o(w). Factor d(p).\nAnswer: -p*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 3 = 3*x, 0 = 3*z + 2*x - 15. Suppose z*t = f - 147, 0*t + 316 = 2*f + 5*t. Let n = 215 - f. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/5)\/4*-5. Suppose -i*v - 144 = -2*v. Let z be (-80)\/v + 4\/(-18). Solve -2*t + 4*t - z = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*u - 3 - 496*u + 3 - 705*u.\nAnswer: -1662*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 2*k + 2*n, k + 4*n = 6. What is u in 1 - 4*u**k - 9*u + u**2 + 11 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311133332202 - 10?\nAnswer: -2311133332212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -8.5.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/27567 and 179\/30630.\nAnswer: 275670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 27*n**4 - n**3 + 98*n**2 + 0*n**3 - 96*n**2 in the form k*n**2 + w*n**4 + s*n**3 + x*n + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 864883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 8*s**2 - s - 5. Let d be c(-8). Suppose 2*r + d = -r. Let v be (r*(-1)\/(-5))\/(-1). Sort v, 5, 1\/2 in increasing order.\nAnswer: v, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*l - 35 = -9, -5*u = 2*l - 21. Let r = -19 + u. Let c = -7 - r. Solve -c = 3*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuiuiiiiuiiiiiuiiiii. What is prob of picking 4 i?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*i + 110*i - 3500 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 9*s**2 + 9*s + 10. Calculate d(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 9*r - 9*r)*(-16202 + 20*r + 57*r + 16207).\nAnswer: -77*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 29 (b) -0.2 (c) -5\/38 (d) -6\/5 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgggpggrpzrrggprgg. Give prob of picking 3 p.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*c**2 + 9*c - c - 17*c - 73*c**2 + 45 - 3*c.\nAnswer: -(c - 3)*(c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -1 + (52 + -22 - -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. What is o(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 18}. Give prob of sequence uu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k + 0*k - 52 + 13 - 3*k - 59. Let t be x(-10). Let r(b) = -b**3 - 9*b**2 - 7*b + 8. Let i be r(-8). Solve -6*n + t*n = i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12190 and 3657.\nAnswer: 36570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 1\/3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-360)\/132)\/5 + 114\/88. What is the closest to -1\/3 in g, -2\/15, 0, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*7\/364*(-16)\/(-6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3713\/351 + 19861259\/3510. Let s = w + -5636. What is the common denominator of -67\/18 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -46\/2637?\nAnswer: -46\/2637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 866*q**4 + 2641.\nAnswer: 3464*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*w - 50*w + 141*w)*(3 + 0 - 5)*(w - 4*w + w).\nAnswer: 1832*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -26 - 8\/11*b**2 - 8\/11*b - 10\/33*b**3 - 1\/22*b**4. Factor i(k).\nAnswer: -2*(k + 1)*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1436*-0.03.\nAnswer: -43.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3\/7 (c) 314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3588752849 a multiple of 12497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4768.9 plus 5?\nAnswer: -4763.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - l + 3*l = 0. Solve -6*s - 8 + 2 = l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 3*s**2 - s**2 to v + c*s**2 + w*s and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -5, -261 in ascending order.\nAnswer: -261, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158.88 - -163. Let h = i - 3.9. Let o = 0.22152 - h. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.243601 times -168\nAnswer: 40.924968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 144 - 55 + 35*n**3 - 82 as l + r*n + w*n**2 + k*n**3 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 4*t)*(-7 - 43 + 2*t + 21).\nAnswer: 8*t**2 - 116*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*t + 3 - 6, -3*c = t - 6. Let o be (c\/2)\/(5\/110). Let g be 1\/(-2) + o\/2. What is the greatest common factor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48138 and 678?\nAnswer: 48138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 72 = -v, 0 = -5*v - 54 + 64 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11141 (base 5) to base 16\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/25 - (-2)\/(-5). Suppose -g*a + 90 = a. What is the remainder when 41 is divided by (a - 4)\/(-1 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 3*n)*(4 - 6 - 6)*(-53 - 6*n + 53) - 18*n**2 - 2*n**2 + n**2.\nAnswer: -67*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 49*f + 61*f.\nAnswer: 103*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 152 = -22*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 14 + 7 - 16)*(-3903 + 3634 + 19*z - 23*z).\nAnswer: 136*z + 9146","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27073 and 13.\nAnswer: -27060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 14*c**2 + 2*c + 19. Suppose 0 = w - 2*k + k + 9, 2*k + 17 = -3*w. Let n be u(w). Solve 4*f + f = -n*r + 30, r = 4*f - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*i**2 - 3 + (2*i + 1 - 1)*(-3*i - 7*i + 3*i).\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-49 - 14)) + 2 + -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 30488 = -b + 6*b. Does 169 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -8201?\nAnswer: 8199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 p when four letters picked without replacement from zzpzqzznbbbqpbbbz.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 0, -13.2.\nAnswer: -13.2, 0, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0073 - -0.5073. Let z = 5.4 - 0.4. Put p, z, 0.1 in descending order.\nAnswer: z, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(42*(-2)\/(-420))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 6*j**2 - 2. Let d = -11 + 11. Suppose d*l + 6 = -l. Give x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*v = 3, -x = v - 3 + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.7. Let h = 222 - 227. What is the nearest to -2 in h, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*q**2 - 139*q**2 + 290*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 9*v - 13*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.168737kg?\nAnswer: 4168737000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*f*q**2*t**3 + f*q + 151*f*t**3 + 2*q**2*t**3 - 9*q wrt q?\nAnswer: 48*f*t**3 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 - -187. Suppose 4*j - 287 = n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -25. Let g(v) = -v**3 - 3*v**2 + 4*v + 15. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -19. Suppose 3*z + 3*i + 15 = y, -3*z + i = 6*i + 25. Solve z = -k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4*3540\/(-15). Suppose f = 3*n - 4. Suppose 2*p + 0 = 5*j - 3, -j = 3*p - n. Which is the second smallest value? (a) 5 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10661*u + 10664*u - 4*h = -4, -u - 10 = 3*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-116)\/(-16) + 3\/(-12). Let x be 8*1 + -11 + f. Solve 5*b + 3 = x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -251*z**3 - 31*z**2 - 34672 wrt z?\nAnswer: -753*z**2 - 62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28403 divided by 973\nAnswer: -28403\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 7, i: 2}. Give prob of picking 2 a.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058063593 to seven dps.\nAnswer: -0.0005806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -16.962. Let z = h - 0.078. What is the second biggest value in z, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m\/m**(-15)))*m\/(m*m**25\/m))\/((m*m**18)\/((m**(-2\/105)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-2837\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1043, 1042, 1039, 1034?\n\"Answer: -f**2 + 2*f + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 20. Let y(w) = 4*w**2 - 9*w + 3. Let z(d) = -d**2 + d + 1. Let m(u) = o*y(u) + 3*z(u). Factor m(b).\nAnswer: 3*(b - 2)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1767*f - 8836. What is k(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaoqwrairor. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 32 + 32. Let t be (-15 + -1)\/(3\/(-12)). Calculate the greatest common factor of t and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 24 - 193 = 16*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z. Let i be k(1). Suppose -3*c + 20 = c - 4*y, 5*c + i*y + 2 = 0. Solve -c*s - 2*s = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27309568368+157.2\nAnswer: 27309568525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 137 (b) 1 (c) 2 (d) -2\/5 (e) 3\/5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1, -223?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 + 120. Let s = -10 - -12.5. Let p = s + -3. Is p greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/(6\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 - 9)\/(3\/(-9)). Solve 0*q = -2*q + 4*r - 16, 3*r - 18 = n*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3423757*u + 20409666 wrt u?\nAnswer: -3423757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 174 - 2220. Let y = 3135 + k. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10485990649117 and 6.\nAnswer: -10485990649111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/21 (b) -23112 (c) 5 (d) 3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 2*w + 12 + 2*w - 9*w. What is r(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136 + -15322?\nAnswer: -15175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/((1*-3)\/3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1071 + 403. What are the prime factors of w?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 47*v + 309. What is r(5)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(10) - (sqrt(98) + -1 + sqrt(98)))**2*6.\nAnswer: -144*sqrt(2) + 1734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24623174092*t - t**2 + 24623174092*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022297138 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 43 = 6*s, a + 4*s - 24 = -7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 38.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + y**4 - y**4)*(0 + 0 + y) - y**5 + y**2 - y**2 - 539*y**5 + 261*y**5 - 3*y**4 + 307*y**5 + 4*y**5 + y**5 - 3*y**5.\nAnswer: 32*y**5 - 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -3) - (3 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -133. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63101997.\nAnswer: 3, 7, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2158 (b) -5 (c) -2\/25421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598)*-3)\/(3*sqrt(14)\/sqrt(7) + sqrt(2)).\nAnswer: -33*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -29. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2102021200210 (base 3) to base 5\nAnswer: 312110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 39 + 3 + -63 - 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/5 + 1467\/45. Suppose -g = 3*g - x. What is the greatest common factor of g and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/442 and -97\/234?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1425 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75997 = -14*t + 78703. What is the highest common factor of 68 and t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*-10*(-2)\/(-4). Suppose u*z + 2*k = 21, z = 4*k - 8 - 1. Suppose -3*n = -33 + z. Calculate the remainder when 37 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 56*o - 14740. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100383 (base 9) in base 2?\nAnswer: 1110011111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, c: 2, t: 3, p: 3}. Give prob of sequence cst.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(45)*-3 + 6*(0 + sqrt(5))) + ((sqrt(125) + -1 + (sqrt(125) - -2*sqrt(125)))*-5)**2.\nAnswer: -982*sqrt(5) + 50025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 38 + 35 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 - 93*k**2 - 34*k - 114. Determine s(-23).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**7\/3780 + v**5\/180 - v**4\/4 + v. Let k(z) be the third derivative of t(z). Factor k(y).\nAnswer: -2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 8 (b) -0.2 (c) -0.178 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113013 (base 4) in base 6?\nAnswer: -10503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125332423 (base 6) in base 15?\nAnswer: 1186d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.50578 and -0.2.\nAnswer: 26.30578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 24. Suppose 15 = -29*w + 32*w. Suppose -3*l = w*y - 37, -2*y - y = 5*l - 35. Which is the third biggest value? (a) y (b) 3\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = m + 4, -m - 24 = -7171*k + 7178*k - 0*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7878793814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36852044*r**4 - 60*r**2 - 42*r - 110.\nAnswer: -884449056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 != -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(5)*-3 - sqrt(720)*-2) + (-2*(3 + sqrt(5)) + -2)**2)*-4 + 0.\nAnswer: -200*sqrt(5) - 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-7)\/((-490)\/(-364)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 3*h - 4*h. Suppose t - h = -t. Suppose 2*f = 6*f - t. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 8*i = -3*a + 16, 0 = -2*a - 2*i. Solve -j + 5*s = 6 - 14, a*s = -j - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0 - 3\/2*z**2 - 4*z - 7\/6*z**3. What is the first derivative of l(q) wrt q?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.3057 kilograms to grams.\nAnswer: 951305.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172492 != 172499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*z - 386, -2*d = -4*z + 3*d + 772. Suppose -o - 2*v + z + 69 = 0, 5*v = -5*o + 1320. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10223607 divided by 3637?\nAnswer: -2811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 70, -75868, 7 in decreasing order.\nAnswer: 70, 7, -5, -75868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 295293.\nAnswer: 1\/295293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 79*i**2 + 635*i + 51. Determine m(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1320)\/(-18) + -1*2\/6. Let l = a - 58. Solve l = 4*k - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147933022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 4)*(-8*a - 2*a + 0*a) + (-2 + 2 - 2)*(0*a - 3*a + a) to the form y*a + t and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = u + 23 - 0, 0 = u + v + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*w + 21*w + 18*w - 4*w**3 to y*w + p*w**2 + z + q*w**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378 = 35*c + 133 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.04. Let p = 0 - -1. Which is bigger: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 5*b - 109. Let m(k) be the third derivative of 0 - 1\/8*k**4 + 0*k - 5*k**b + 0*k**3. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 6 = 12*t. Suppose 10 = 5*d + t*u, 2*d - 4 = -u - u. Solve 4*l + 27 = -3*w, -4 = d*l - 4*l + 2*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62447 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265819\/9 + 29537. Determine v so that 28\/9 + 94\/9*v**3 - 94\/9*v + d*v**4 - 14\/3*v**2 = 0.\nAnswer: -7, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428489 divided by 1?\nAnswer: -428489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 15*c**2 + 24*c - 12 = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*w - 68*w + 19*w + 27*w)*(w + w + 0*w) + 3*w**2 - w**2 + 0*w**2.\nAnswer: -178*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 10}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97562183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4239332356?\nAnswer: 2, 7, 151404727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/33)\/h))\/h)\/(h\/(h*h**6)*h) assuming h is positive.\nAnswer: h**(196\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1123022, 4491958, 10106848, 17967692, 28074490, 40427242?\nAnswer: 55025948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w - 5*k, -9*k + 13*k + 14 = 5*w. Find the third derivative of -w*h**4 - h**2 - 1 - 121*h**5 + 118*h**5 - 4*h**2 wrt h.\nAnswer: -180*h**2 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/3*(-152)\/152?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 463334*w**3 + 119934 wrt w?\nAnswer: 1390002*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1.86. Let d = p - 0.14. Which is the nearest to 0.1? (a) 1\/7 (b) d (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57570 is divided by 19190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45336 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 10. Calculate the remainder when p is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12212 (base 4) in base 13?\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a week in hours?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1 - d + 1\/2*d**2. Determine a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 3*k + 11, 3*s - 3*k = -s + 1. Suppose -t = -2*t - 4. Sort t, s, -1 in ascending order.\nAnswer: t, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/107, -4\/3, 0.1, 2\/5, 0.02.\nAnswer: -4\/3, -2\/107, 0.02, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1349)\/71)\/(2\/4 - 1). Which is greater: u or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 8?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000409802445 to 6 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5945 and -2.8341.\nAnswer: -16848.7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868946 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 94, 1420, 2 in descending order.\nAnswer: 1420, 94, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5364*k - 10726*k - 66 = -5368*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259\/1848 - 6\/(-144).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n = 31*n + 242266. What are the prime factors of n?\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 11798597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/6 + 7*s**2\/2 - 108*s - 2. What is p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*k - p - 52, -2*k + 3*p + 25 = 0. Calculate the highest common divisor of k and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*t - 20, -5*t - 2*j - 20 = 2*j. Suppose 31 = m - t*s + s, -m = -s - 33. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10954 + 34717. Is 45 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1013 or -252?\nAnswer: 1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/150)\/((-1)\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46751392 - -29863.\nAnswer: -46721529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*q + 3867 = 0, 19*f = 23*f - 3*q - 1726. Calculate the least common multiple of 1220 and f.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.09 + 1.09. Suppose 36*l = 21*l. What is the biggest value in k, -34, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/8*(-4)\/(-6). Let h be (0 + -1 - -1)\/2. Suppose h = -s + w*s - 92. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*-1)**2 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42039*p**3*u**3 - 4*p**3 - 1236*p**2 + p + 7*u**4 - 9 with respect to u.\nAnswer: -126117*p**3*u**2 + 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2174 - -1618. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 times 590457\nAnswer: -12990054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19409939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*p + 27 = -0*p, 0 = 2*i + 3*p + 1. Suppose 4*u - 3*u = i. Solve -u*c = -w + 9 - 3, 4*c = -2*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -52*b**2 + 214*b - 2. Calculate c(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 379 - 54 = 0. Let z be 1\/(5\/p + 0). Which is the closest to 1? (a) -2\/11 (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.28 + -0.2. Let l = -16250 + 48752\/3. Sort -5, g, l, -4.\nAnswer: -5, -4, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3375, 12740, 28347, 50196, 78287, 112620, 153195?\n\"Answer: 3121*d**2 + 2*d + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -17, -4\/43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31221.001 days to weeks.\nAnswer: 4460.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r. Suppose 0 = -13*n + 11*n - 13*n. Let d(o) be the second derivative of 0 - 1\/12*o**4 + 0*o**2 + n*o**3 + 7*o. What is j(d(a))?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -1\/6*m**3 - 1\/20*m**5 + 0*m + 0 + 37\/20*m**6 + 0*m**4 - 58*m**2. What is the third derivative of s(y) wrt y?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 2*n, -5*g - 2*n = 0. What is the fourth biggest value in -0.2, g, 2\/3, -17, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 59*b - 280. Let a be v(24). Solve -20 = 42*r - a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.8 - 13.1. What is the nearest to -4 in -2, w, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5014 * 633.\nAnswer: -950.3862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40907 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -r + 2836 - 2824, -5*o = -3*r + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62394235 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/40)\/(12\/(-1264)) + 111*57\/37962\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 z, and 1 u when four letters picked without replacement from luuzzzzlg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p**4 - 2*p**3 - 2790*p**2 + 7166?\nAnswer: 20*p**3 - 6*p**2 - 5580*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/6 - -11\/12. Let g = 46.016 - 54. Let f = -0.016 + g. Which is the second smallest value? (a) f (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*r**4*s**3 - 205*r**3*s**3 + 52*r*s**2 + 56*s**3 wrt r.\nAnswer: 240*r**2*s**3 - 1230*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*k + 3*b, -4*b - 6 = -5*k + 92. Suppose 3672 = k*z - 860. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*b + 10 = 0, 3*b - 2 = w - 5. Factor v**2 - 19 + 10 - w*v**2 + 14.\nAnswer: -5*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/(q*q**(-5)))\/(q**(-27)\/q**(-14)) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-2*u**4 + 2*u**4 - 2*u**5) + 40*u**2 - 40*u**2 + 9*u**5 + (3*u**2 - 5*u**2 + 3*u**2)*(3*u**3 - 2*u**3 + 0*u**3) - 3*u**2 - 2 + 2 + u**5.\nAnswer: 13*u**5 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*l + 7 + 2, 0 = l - 2. Is (-4)\/(-16)*-12130*2*o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138075584 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2224\/31 or -3506?\nAnswer: -2224\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 40*p + 90206. Let a(w) = w. Determine a(x(v)).\nAnswer: -v**2 + 40*v + 90206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 j when four letters picked without replacement from jfjjjfjfxjxojxo.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1344.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279598 to the power of 1\/2, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.044 + 6.7343. What is r rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21 + l - 3*l - 10*l + 4*l. What is the hundreds digit of i(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 608484266 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11123391 - 1663539. Suppose 2*p - 1539852 = -d. Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 522 and 64106\/123 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 0.1. Let q = 0.8 - h. What is the third biggest value in -4, q, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 - 51837456*x**2 + 51837460*x = 0.\nAnswer: -12959365, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.2 - -55. Let b = 0.23 + -0.03. Let x be (4\/54)\/(1\/(-3)). What is the closest to -1\/4 in b, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -955 = 5*j + 3*h - 70459, 2*j = -h + 27801. Suppose q = 3*m - 3*q - 41704, -m = q - j. What is m rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdhsnsby. What is prob of picking 1 n, 1 b, and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 45 = 1106*r - 1111*r, -r + 3 = -2*l + 2*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 15803*g**2 - 19 + 5.\nAnswer: -15803*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12*((-6)\/8)\/(1533\/66430).\nAnswer: -65\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/50*(-2)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 155047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 1612624?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -8\/31, -1 in descending order.\nAnswer: 1, 0.2, -8\/31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -52\/528313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose 4*v = i, -2*c + 0*c - 2*v = -4. Suppose c*a - 50 = -3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 52. Which is the third smallest value? (a) r (b) -1 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 36799835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 149.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2 - 14. Let x be (-42)\/49*14\/d. Let y(g) = g + 4. Determine y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -39. Let j = -43.38 - q. Let d = -0.38000096 - j. What is d rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.974 + 0.026. Let t = -0.7 - -3.7. Let f = t + -2.5. What is the smallest value in f, 1, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**4\/22 + 5072*d**3\/11 - 4831071*d**2\/11 + 19263468*d\/11 - 4298. What is x in i(x) = 0?\nAnswer: 2, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 256 = -t + 266, -24 = -3*t. Factor -104\/7*n**o - 4*n**3 - 80\/7*n + 32\/7.\nAnswer: -4*(n + 2)**2*(7*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 7*c + 10. Let a(n) = -5*n**3 - 3*n**2 - 3*n + 1. List the prime factors of a(c).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*l**3*o**2*x + 6*l**3*o - 53*l**3 - 642167*l*o**2*x - l*o**2 + 20*l*o + 44*o**2 wrt x?\nAnswer: 17*l**3*o**2 - 642167*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24050\/7 - -3438. Let r(m) be the first derivative of t*m + 2\/21*m**3 - 12 + 10\/7*m**2 - 1\/14*m**4. Factor r(w).\nAnswer: -2*(w - 4)*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 8:50 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1330132 + 4?\nAnswer: 1330141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*9\/63*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 273, 516, 759, 1002, 1245?\n\"Answer: 243*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(12*m - 46 + 46) + 481*m + 96*m - 161*m + 226*m + 182*m to the form y + p*m and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 336 (b) -27 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) - 828\/42*-1. Let m(v) be the first derivative of v**4\/2 + 2*v + 1. Let d be m(2). Solve 2*g = 4*y + d, 0*g - c = -2*g + 5*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3364250, 6728500, 10092750, 13457000, 16821250, 20185500?\n\"Answer: 3364250*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1387 - 192*q**2 + 2779 - 1393 + 3*q to v*q + j*q**2 + y and give j.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 274. Let a(t) be the third derivative of 6*t**2 + u*t**5 + 0 + 5\/24*t**4 + 0*t + 0*t**3 - 1\/20*t**6. What is the second derivative of a(s) wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30417, -31838, -35695, -43206, -55589?\n\"Answer: -203*y**3 - 30214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 - 6*o**5 - o**5 + (5*o - o - 2*o)*(-4*o**4 + o**3 - o**3).\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*a = -487, a = 2*a + 3. Let b = t - 55. Suppose -3*j - 5*k = -b - 8, -5*j + 5*k + 40 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 - 52*y = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in months?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288) + (sqrt(288) + -1*sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288)))*-1)\/((1*sqrt(768))\/(sqrt(2) - sqrt(72)*-2)).\nAnswer: 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0 + 96*k + 3\/2*k**4 + 21\/2*k**2 + 1\/3*k**3. Find the second derivative of g(r) wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 12*k - 26. What is b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + a + 5 + 2 = 0, 5*j - 14 = -a. Is (j - (-21)\/(-6))*-62 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*b**2*q*s**3 + 44*b**2*s**3 - 2*b**2*s**2 - 7*q*s - 4*q - 15*s**2 wrt s?\nAnswer: 240*b**2*q + 264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1173219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 33 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3)\/(k\/(((k*k**(-2\/7)\/k*k*k)\/k)\/k*k)))\/(k*(k**(2\/15)\/k)\/k*k\/k**(-6)*k) assuming k is positive.\nAnswer: k**(-919\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -224351?\nAnswer: -224326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -18. Suppose -16 = -21*f + y*f. Let z be (f\/30)\/(1 + 0). What is the biggest value in -5, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n + 2*n - n)*(678 + 1169 - 665) as p*n + r and give p.\nAnswer: 3546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**29*q\/(q*q**(1\/27))*(q**(-37)\/q)\/q**27 assuming q is positive.\nAnswer: q**(-973\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*p + 8, -4 = b - p - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 6*o - 6. Let i be d(7). Let a = 7 - i. Let v = a - 3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 1, w: 2, c: 2, i: 4, y: 3}. Give prob of picking 1 i and 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4201.632 rounded to the nearest 10?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -226*q - 438. Calculate z(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - 70?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-1 + 0 + 3)*(13*j**2 + 29*j**2 - 3*j**2) to the form l + n*j**2 + g*j and give n.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 27*n - 8*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/(v*v**(1\/9)*v))\/v)\/v)*v**(-5))\/(v**(-1\/7)*v)**(-2\/71) assuming v is positive.\nAnswer: v**(-3868\/4473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 4*2*sqrt(117) + -2)*4)**2 + 3.\nAnswer: -768*sqrt(13) + 119827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 110241302 (base 5) to base 7\nAnswer: 4026501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1585 and 1000.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -2*s - c + 57, s - 2*c = 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14721 is divided by 367?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/(r*r**(1\/6))*r**(-1\/4)\/(r*r**(1\/2)*r))**(3\/8) assuming r is positive.\nAnswer: r**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -72*q**3 - 2*q**2 - q + 1. Let r be y(-1). Let s be r\/(-90) + 1014\/1280. Is 0 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4315231829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64380, -64329, -64224, -64041, -63756, -63345?\nAnswer: -62784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 888823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 100000000101010?\nAnswer: -100000000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2822 - -0.0822. What is the smallest value in z, -3, 71, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13143 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114527456.\nAnswer: 2, 761, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l**2. Let s(t) = -14*t. Determine a(s(x)).\nAnswer: -3920*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27626)\/(-8) + 4\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2374 - -3795. What are the prime factors of c?\nAnswer: 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let u = -40 + 40. Let a(r) be the first derivative of 3 + 1\/2*r**2 + u*r. Determine a(g(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -0.8. Let u = p + -9. Let k be 23\/(-11) + (-10)\/(-5). What is the third smallest value in -3\/7, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4705 - 4694. Put 3, 5, o, -2 in ascending order.\nAnswer: -2, 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*1\/16)\/((-264105)\/46952)\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -223 (b) -2\/3 (c) 0.1 (d) 0.9 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 15 - 2387823*a**2 + 2387852*a**2.\nAnswer: 29*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/38050908 and 97\/25326.\nAnswer: 342458172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53.65 - 52. What is x rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 25, -0.1, -3\/23 in ascending order.\nAnswer: -13, -3\/23, -0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-129)\/1032*(-992)\/(-4))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and -69\/21314.\nAnswer: 21314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 438 - 485 = 3*d, -19*r - 4*d + 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 5, x: 1, l: 3}. What is prob of picking 2 e, 1 x, and 1 w?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**2 + 5966*w + 5959*w - 121*w**2 - 11925*w + 248*w**2.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4))**(-3\/11)*t**(-6\/5)\/(t\/t**7))**(-47) assuming t is positive.\nAnswer: t**(-46107\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = t - 23. Let i be ((-2 - -1)*-1)\/(43\/(-29541)). Let y = 689 + i. What is the lowest common multiple of t and y?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 2*v**2 + 2. Let b(c) be the third derivative of c**6\/30 - c**5\/20 - c**3\/2 - 41*c**2. Calculate 4*b(r) + 6*d(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 128097 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-574)\/(-1476)*(-333)\/(-1036)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**2 + x - 2. Let c(g) = -g**2 - g - 1. Let m(r) = c(r) + k(r). Let v(s) = 8 + 7 - 4*s**2 + 1 - 32*s**2. Give 16*m(w) + 3*v(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/23)\/((-9)\/18). Let k(u) = -u**2 + 15*u - 10. Let f be k(14). Let i be 128\/72 - 1*f\/(-18). Put 0, v, i in ascending order.\nAnswer: 0, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81839*n**2 + 7*n + 1024 wrt n?\nAnswer: -163678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 + 12*m - 12. Let y be q(1). Suppose 2*r = -y*w - 6, -12 = 2*w - 8*r + 6*r. Put -1\/4, 0.1, 1\/3, w in decreasing order.\nAnswer: 1\/3, 0.1, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 9) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35+4667903\nAnswer: 4667938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4))\/(633\/1688)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(1\/10). Suppose -i*j + 8 = -2*q + q, 3*j - 8 = -q. Differentiate -2 - 7*s**2 + 4*s**2 + 6*s**j wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33123111132 (base 4) to base 12\nAnswer: -1430426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5 + 4 + 0). Suppose -2*a = -3*y + l, 5*y - 9 = -3*a - a. Solve 0 = 3*j + a + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (-20 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 5*j + 9 = 0, -3*k - 9 = 4*j. Let v be 4 + (8\/k - 0). Which is the smallest value? (a) -2 (b) 6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 x, and 1 c when four letters picked without replacement from {t: 4, z: 2, y: 3, s: 2, c: 1, x: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000448719 to 7 dps.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -4*p - 4*z + 30, 3*p - 5*z - 20 = 0. Solve 4*b = -2*o - 26, p*b + 4*o + 28 = 8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 474*l**3 + 12948*l**2 - 27816*l.\nAnswer: 3*l*(l - 2)*(l + 38)*(l + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2351*w**2 - 6511*w - 576*w**2 - 4219*w**2 + 6514*w)*(1 + 3 - 5)*(4*w - 2*w + 0*w).\nAnswer: 14292*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5*s - 100*m**4 + 9*m**2*s + 9*m**2 - 1 wrt m?\nAnswer: -180*m**2*s - 2400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5147)\/(-19) - (-10)\/95. Suppose -171 + y = 5*g. Calculate the greatest common factor of g and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/37 in -1\/9, 2\/3, -6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*y - 5*f + 2*f, 3*f = -2*y + 24. Solve m + 4*m = 2*r + 5, y = -3*r - 3*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2635\/9 + 0 - (-26)\/117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 690421.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248123 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20 - -21)*(-4 - 52). Let n be (-9)\/(-16)*g\/(-21). Factor 13\/4*r**3 - 3*r**2 - n*r**4 + 1\/4*r**5 + 0 + r.\nAnswer: r*(r - 2)**2*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -628, 0, -2 in descending order.\nAnswer: 0, -2, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9718181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, c: 7}. Give prob of picking 2 c.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 7)*(271*a**2 - 2181 + 2181) to the form i + h*a**2 + o*a and give h.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x + 149. Let g be t(37). Solve -3*n = -2*n - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 51\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/6)\/((-16)\/779360) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 5. Let c be n(4). Suppose 0*h - c = -h. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from {h: 6, e: 5, y: 1, p: 7}.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 55\/(-1) - (1 + 0). Let o = 84 + 35. Let w = d + o. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 8. Let h = -574.5793533 + 565.579352502. Let n = h - l. Round n to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101728 + -37951. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*x + f, x - 6*x + f + 135 = 0. Solve -4*r - s - 15 = 0, 16 = 4*s + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435402 and 88803.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {w: 2, m: 3, i: 10, h: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9883621480.19073 + 9883665079. Let m = -43620.81 + p. Let d = m - -22. Round d to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**4 - 17*d**2 + 72*d**2 - 54*d**2 - 3 - 24*d to h*d + k*d**3 + i + r*d**2 + y*d**4 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75314 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*(-2)\/(-7)*19\/(-38)*4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*a - 148*a - 2555 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + 0.39. Let u = 54 + -54. What is the nearest to u in -0.3, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13080)\/(-14))\/((-2798)\/(-700) + -4). Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 20*p - 4. Determine m(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82.04 - -70.585. Round m to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -71, 0.5, -25 in increasing order.\nAnswer: -71, -25, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -3, 2, 7, 12, 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758 + 3039 = 233*c - 2680 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = -5*s + 4*y, -4*y - 135 = -s + y. Let t(o) = s - 2*o**2 - 160. Let f(m) = m + m**2 - m. What is t(f(q))?\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 29017 in decreasing order.\nAnswer: 29017, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 - 3*s**2 + 2*s = 0. What is s?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 948908819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:06 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x**2 + 11*x**2 + 21*x**2 to the form o*x + l*x**2 + m and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 - 3*o**3 + 2 - 18*o**2 + 23*o**2 as b + a*o**3 + f*o + v*o**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/(-108)*44\/(-550)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n**2 + 5. Let g(u) = 42*u**2 + 12. Let x(w) = 5*g(w) - 12*y(w). Let o(c) = -6 + 16 + c**2 - 10. Give o(x(z)).\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87 + -9c?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54.9137 and 0.09.\nAnswer: 4.942233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 221*g**2 - 3044*g - 496. Calculate m(-234).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -594*o**2 + 7043*o - 23. What is j(11)?\nAnswer: 5576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228566800 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*r + 2*z, 73*r = 72*r + 2*z + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**3 - 208*p**3 - 157*p**3 + (-3*p + 2*p - p)*(p**2 - 2*p**2 + 0*p**2) + 3*p + 2*p**3 - 3*p + p**3 + 3*p**3 - 2*p**3.\nAnswer: -351*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -10 - ((-2 - (5 + -3)) + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 0*w**2 + 2*w**4 + (-2*w - w + 2*w)*(154*w**3 - 276*w**3 - 37*w**3).\nAnswer: 161*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*t + 3)*(1 + 2 - 4)*(-2*t**2 + 6*t**2 - 2*t**2)*(-9 - 4 + 3) as r*t**2 + x*t**3 + c*t + m and give x.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o + 6 + 1110*o**3 + 16*o - 1185*o**3 to q + t*o**2 + p*o**3 + m*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30656 and 19160.\nAnswer: 153280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -q, -5*q - 1590*r = -1589*r - 20. Calculate the greatest common divisor of 4131 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -86.5. What is the nearest to -13 in u, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 7. Let s be (-1)\/(-2)*20\/2. Suppose 0*k + 2 = -k - 2*h, h = 5*k - 34. Let g(j) = -3*j - 6. Calculate k*g(q) + s*o(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47206*p - 47162*p - 1364 = 0 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 181*o**2 + 368*o - 1803. Determine x(179).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 11*l**2 - 22*l - 2. What are the prime factors of o(7)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 14) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155 a factor of 4572910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 9:28 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 6 + 48*u**2 + 5*u**2 + 73 - 142 - 51*u**2.\nAnswer: 2*u**2 - 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) - (-76)\/20. Suppose 6*y = h*y + 6. Solve 0 = y*j - 3, 4*n + n - 2 = 3*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and -31\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6354, 12708, 19072, 25452, 31854, 38284?\n\"Answer: w**3 - w**2 + 6350*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) 763\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 7. Suppose -12 = -2*z + x. What is the second derivative of -z*s + 3*s - 4*s**2 + 2*s wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) 0.04 (b) 2\/5 (c) 1238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 56 = -2*m, 5*m + 57 = -a + 205. Let i be 2*1 - (-35)\/(-7). Let g be i*2\/(-3) + -2. Solve 3*y + 2*c + 25 = g, -3*y = 2*y + c + m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(22)\/(sqrt(4)\/sqrt(2)) + ((sqrt(22)\/sqrt(2) - sqrt(11))**2 + sqrt(11))*6 + (1*(1 + sqrt(11)) - (sqrt(121)*1)\/sqrt(11)))*-4.\nAnswer: -28*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4892 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 1\/1*(3\/8 + 36725\/904)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -2*(2*sqrt(117) - sqrt(117))) + sqrt(117))\/sqrt(144).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 352573 and -0.011.\nAnswer: -3878.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 7*q + 14. Calculate the remainder when 35 is divided by p(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 898 + -897.8115. Let g = 0.19 - w. Round g to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1908418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4929792 and 852096?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 25*b = 20*b - 15, -4*b = s + 11. Suppose 0 = -c + 8 - s. Solve -c*z + 2*o = -2*o - 23, 19 = -z - 4*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -27*x**2\/2 + 130. Let j(y) = 39*y - 12*y - 28*y. Give j(q(r)).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 + 2*j + 10. Let p be w(-4). Suppose 0 = -4*h - 8, -3*v = p*h - 347 - 915. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(3\/5)*h*h\/(h**(-7)*h) assuming h is positive.\nAnswer: h**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 429.01 - 427. Let k = u + -0.01. Let a = k - 1.88. Round a to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**2 + 8*z + 6. Let k be v(6). Let i = k + 656. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7980 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5730, -22602, -50706, -90042, -140610?\n\"Answer: -5616*p**2 - 24*p - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.706042 tonnes to kilograms.\nAnswer: 1706.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 127.064. Let n = 0.008 - -0.292. What is the second smallest value in -0.2, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3163029\nAnswer: 1\/3163029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1715*r**3 - 9*r**2 + 4*r + 27. What are the prime factors of w(-2)?\nAnswer: 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3492)\/(-679)*(-35)\/20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1400681.3 and -23.39?\nAnswer: 1400704.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 14. Let r = o + -10. Let a = r + 38. Solve -2*j - 27 = -5*i, a = -j - 3*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aoncnyoasaossny. Give prob of sequence ooo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129 - 64. Let z = -37 + u. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 4\/34 - (1832\/(-34) - -6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 - 2. Let d be q(0). Let c be d + (4 - -1) + 2. Let r(f) = -f. Let p be r(-2). Solve c*a = p + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 53 - 52 + 187*k + 131*k - 46*k. Let v(o) = 2*o**2. Calculate v(l(z)).\nAnswer: 147968*z**2 + 1088*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 808 = 3*t, 4*t = -c - c + 394. Is 32 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -74. Which is smaller: u or 2\/1709?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -169388, -338765, -508138, -677507, -846872?\n\"Answer: 2*q**2 - 169383*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9650.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 7*j - 21. Let q be a(10). What is the greatest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10117922?\nAnswer: 2, 5058961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1027, -918, -735, -478?\n\"Answer: 37*z**2 - 2*z - 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85838038 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + -2 + 1) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -125*n**2 + 8*n + 1. Let m(c) = -c**2 + 5. What is f(m(p))?\nAnswer: -125*p**4 + 1242*p**2 - 3084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -5*b - 6. Let n = b + -1. Calculate the greatest common factor of n and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/45*6*(-342)\/38.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8205)\/1094)\/((-2)\/8*3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, 3026?\nAnswer: 3026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 take away 2.968801?\nAnswer: -535.968801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/4 in -0.2, 2, 3\/4, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -2, 47, -1, -37 in ascending order.\nAnswer: -37, -8, -3, -2, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by 205.\nAnswer: 34\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 2*p)*(16*p**3 - 13*p**3 + 32*p**3) - 8*p + 8*p + p**4 + 11*p as x*p**3 + v + l*p**2 + y*p**4 + c*p and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -117. Let l = 0.09 + -4.09. Let g = 4 - 7. Which is the second biggest value? (a) g (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -111*u**2. Let w(x) = -2*x. Determine w(g(t)).\nAnswer: 222*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 24 - 24*q - 17.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -22, 85, 246, 467, 754, 1113?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*23\nAnswer: -3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Suppose 0 = 2*r - 1 - 11. Let k(g) = g + 3*g + 4*g - r*g. Give v(k(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 554515 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2212, 4433, 6656, 8881, 11108, 13337, 15568?\n\"Answer: l**2 + 2218*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -412*o**2. Let x(a) = 17*a + 35. Let y(c) = 9*c + 14. Let n(h) = -2*x(h) + 5*y(h). Give w(n(v)).\nAnswer: -49852*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 8. Let z be t(8). Let b be z\/(-6)*12\/8. Find the third derivative of 4*r**2 - 4*r**2 + 2*r**2 - 2*r**4 - b*r**4 wrt r.\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 1. Let x = z - 1. Let l be (-3)\/36 - 5\/(-15). Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 0. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 1, -0.2, -3 in descending order.\nAnswer: 1, -0.2, -7\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43598840627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-8)*(-5)\/(-50).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i + 1088. Let z be v(-34). Suppose -2*r = r + 30. Let m = 7 + r. Which is the closest to z? (a) -2 (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 526*g**7\/7 + 9*g**4\/4 - 20*g**3\/3 + 64*g**2 + 3215. What is the third derivative of p(j) wrt j?\nAnswer: 63120*j**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 57*h - 6382. What is u(-55)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*r - r. Suppose 0 = -2*n - 4*l + 2, -3*n + 5*l + 8 = -2*n. Suppose g = f - r - 15, n*f = g + 52. Solve 0*p = 3*p + 4*a - f, p - a = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 8 - 40*j + 14 as n + o*j and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019550668 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16433 - -16438. What is the closest to -1\/2 in -3\/2, 33, -0.02, y?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:06 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 674 and 1011.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 3*j + 459 - 456, 6 - 17 = -5*m + 2*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 7005 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*l + 14 = 3*g, -5*g + 50 = -5*l. Suppose -3*t - g = -0. Which is the closest to -2? (a) 0.2 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3 + 6. What are the prime factors of ((-6)\/4)\/(j\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117) + sqrt(117)*-3)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -0.3469\nAnswer: 0.027752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3870 - 3864. Sort 3\/10, y, 0 in ascending order.\nAnswer: 0, 3\/10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3323 - 31*u**3 - 32*u**3 + 1681*u**4 - 30*u**3 + 93*u**3 with respect to u.\nAnswer: 6724*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 + 1227*i + 1506. Determine m(31).\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((70\/3920)\/(2\/16))\/(18\/14)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96372197 or -96372201?\nAnswer: -96372201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 - m**3\/6 + 3*m**2. Differentiate s(t) wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 334 - 389 - 1227 - 1127*x**3 - 12*x**3 with respect to x.\nAnswer: -3417*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 2 + 1170\/572 + (-24)\/44. Sort h, -13, 0.2 in decreasing order.\nAnswer: 0.2, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164221578*u**2 - 23969645 wrt u?\nAnswer: 328443156*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 3*i**2 - i - 2. Let o = -12 - -14. Let t be x(o). Which is smaller: t or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 307.\nAnswer: 307.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -62*k**3 + 2*k**2 + 12*k + 10. Give y(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -33, 3, -2, 6, 43, -1 in decreasing order.\nAnswer: 48, 43, 6, 3, -1, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122571 is divided by 7660?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 3 - 3)*(2 - 2 - 4)*(0 + 2 + 0) + 3*s**2 - 3*s**2 + 6*s**2 to the form n + h*s + j*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*(sqrt(90) + sqrt(90)*-3)\/sqrt(6))\/(sqrt(125) + (sqrt(125) + (sqrt(125) - sqrt(125)*4*-4 - sqrt(125)) - sqrt(125))))**2.\nAnswer: 36173\/7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 757027823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand -7061*o + 84 - 84 + (2*o - 3*o - o)*(3 + 1 - 2)*(3 - 1 + 0 + (1 + 0 - 2)*(-5 + 5 + 1)).\nAnswer: -7065*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109868, 108403, 106938, 105473?\nAnswer: 104008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**5 + 45*i**4 - 282*i**3 + 360*i**2 = 0.\nAnswer: -20, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1179841 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 4. Let m(n) be the second derivative of -3*n**3\/2 + 11*n**2\/2 + 29*n. Determine -3*m(y) - 8*o(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 20 - 0. Suppose u + 2 + 0 = 3*s, 5*u = -o. Suppose -2*i = 3*c + 5, -2*i + 10 = -2*c - s*i. Is -4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 54734*f**2 - 32*f = 0.\nAnswer: 0, 16\/27367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48303911479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35663822 or -35663824?\nAnswer: -35663824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218657419.\nAnswer: 29, 199, 37889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 216510.\nAnswer: 1\/216510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-118)*441\/686*(-16)\/36\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 3*x - 3*x**3 + 2*x - 10 - x**4 in the form v*x**4 + b + p*x + w*x**3 + f*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(20\/4)*(-280)\/(-4060)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/30 + 10*q**2. Let k(j) = 79*j + 16*j - 33*j. Determine k(b(x)).\nAnswer: -124*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**13*f**(-11) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = 0, 5*n + 59 - 7 = -3*u. Let r be (4 + -5)*n\/14. What is the nearest to -0.3 in r, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -55, -103, -171, -259?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 3720.\nAnswer: 40920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 7. Let k(h) = -5*h - 7. Let x(l) = 3*k(l) - 4*w(l). Let a(y) be the third derivative of y**4\/24 + y**3 + y**2. Determine 5*a(t) - 4*x(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 13*n + 1150. Suppose 30 = -5*i + n. Let u = -8 + i. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271986263 is divided by 1433?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 194*r - 28923. Calculate d(98).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/4041000 and 149\/960.\nAnswer: 32328000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*(-336)\/(-280) - -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = 61. Let l = 29 - o. What is the units digit of (l - 0) + 0 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + p**2 - 1 - 2 + p**2 + 2 + (4*p - 3*p - 3*p)*(1 - 2*p - 1) + p**2 - 4 + 4 + (-22*p - 18 + 18)*(57 - 57 - 3*p) + 2*p + 2*p**2 - 2*p.\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 49*b**2 + 14*b - 653. Let j be z(49). Solve -4*f - 28*p = -j*p - 21, -2*f = -p - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*t + 2*t + 24*t to the form k + d*t and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*q + 4, -6 = -5*g - 4*q + 25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 2}. What is prob of sequence yyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1230)\/110 + 11 - (-3 + 3). What is the fourth biggest value in m, 0.1, 1\/2, 2\/13, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3\/5 - 84*r**2\/5 - 152*r\/5 = 0 for r.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**7\/105 + q**4\/12 - 7*q**2. What is the second derivative of g(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -35\/12 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101200102011021 (base 3) to base 14.\nAnswer: -a7ab66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*f - 13. Sort f, 1, -0.3 in descending order.\nAnswer: 1, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, t: 5, b: 8}. Give prob of sequence btbb.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 216316400*d - 103188469 wrt d.\nAnswer: 216316400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34917 - 19516. List the prime factors of l.\nAnswer: 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let z = -1492.76 + 1493. Which is the nearest to 2\/7? (a) -2\/7 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772585974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let s(q) = 91*q**2 + 5*q - 9. Let l(i) = -45*i**2 - 2*i + 4. Let w(p) = -9*l(p) - 4*s(p). Determine w(z(x)).\nAnswer: 41*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6687700 to the nearest 10000.\nAnswer: 6690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -56*k**2 + 32*k. Let q(y) = -5*y**2 + 3*y. Let w(g) = 3*f(g) - 32*q(g). Let u(d) be the second derivative of -d**4\/6 - d. Determine w(u(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -110. Let q be 51\/(-90) + ((-44)\/c)\/11. Sort 0.4, q, 10 in decreasing order.\nAnswer: 10, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 minus -399770?\nAnswer: 399828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 618, 1231, 1848, 2469, 3094, 3723, 4356?\n\"Answer: 2*d**2 + 607*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -195*l**3 - 29 + 2*l**2 + 19 - 3*l**2 + 192*l**3. Let w(b) = -6*b**3 - 2*b**2 - 20. Give -5*g(r) + 2*w(r).\nAnswer: 3*r**3 + r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13231*z - 700 = -13266*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-6 + 1 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:26 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1151, 2431, 3711, 4991, 6271?\n\"Answer: 1280*n - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1970 divide 496451820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 144034 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-4))*a\/(a*a**(-1\/7)\/a*a)*a)\/(a*a*a*a**0)**(-2\/67) assuming a is positive.\nAnswer: a**(2454\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*u - 13*u - 54*u to the form r*u + x and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 15*n + 23. What is s(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 0*l + 3*l - 2*l.\nAnswer: l + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (144\/1440 - 1\/2).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223 a factor of 229138499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.563183768 rounded to three decimal places?\nAnswer: 0.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-528.925.\nAnswer: 105.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(130))\/(sqrt(30)\/(sqrt(3)*2)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229974640 rounded to the nearest 1000000?\nAnswer: 1230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16580 bigger than 16588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 619718600 and 1528?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99\/16 + -1691\/144. Let x = 154 + -430\/3. Find the common denominator of a and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 221*t**3 - 4941*t**4 + 2*t**2 + 4944*t**4 + 0*t**2 to f*t + j + r*t**2 + n*t**4 + m*t**3 and give m.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27131647 = 33*z + 61308353. What is z rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4200 and 60.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:43 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -18*o**2 + 27*o + 13. Let u be j(-4). Let m = u - -379. Let a = -2 + 2. Sort a, 4, m.\nAnswer: m, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511060 divided by -506.\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.4 - -17.17. Let x = o + -1.78. Round x to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -44. What is the greatest common divisor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6880, -13699, -20448, -27127, -33736?\nAnswer: -40275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.46 + -323.54. Let q = -329.0322 - n. What is q rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*s + 13, -q + 6 + 0 = 2*s. Suppose 5*f - 9 = f + 3*t, -12 = 2*f + q*t. Let w = -48 - -238\/5. Which is the nearest to f? (a) w (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 8010600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000029386 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 2*p - 7. Let j be i(4). Let c(g) = g + 2. Let r be c(j). Solve -3*h + r*l = 0, -4*h + 1 + 6 = 3*l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1000.49359 + 0.19359. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/((-20)\/360)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 + 68*i**4\/3 - 17653*i**3\/6 - 57963*i**2 - 2142*i. Determine x so that k(x) = 0.\nAnswer: -6, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36005 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/11)\/i)**(4\/3) assuming i is positive.\nAnswer: i**(-40\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 36. Let b be l(6). Let a(c) = 3*c - 6 + c**3 - 4*c - 4. Give a(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -14*g + 72. Let p(n) = -n**3 + 7*n**2 + 10*n - 6. Let f be p(g). Differentiate 4*m**4 + 24 + f*m**4 + 21*m**4 + 10*m**4 wrt m.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 180106973 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(475) + sqrt(475)*-1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 123. Solve -f*x + 4 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27313*c**2*u - 1890*c + 6*u wrt c.\nAnswer: -54626*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -570 times -0.2\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 784*h**3 - 30*h**2 - 747*h - 354?\nAnswer: 4704*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*h = -123 + 139, 9 = -b - 2*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9958659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48387?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = 0. Suppose 4*j + j - 4*z - 2134 = c, j - 425 = -z. Suppose -q = 2*k - 165 - j, 1187 = 4*k + 3*q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 9. Let d be l(5). What is the remainder when 42 is divided by ((-4)\/(-14))\/(d\/1617)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**3 - 6*t**2 + 2*t + 15. Let g(q) = 5*q**3 + 5*q**2 - 2*q - 13. What is -8*d(x) - 9*g(x)?\nAnswer: 3*x**3 + 3*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-10)\/(0 - 1). Let a(w) = -w**2 + 2*w**2 + 13 + 8*w + 0*w**2 + w. List the prime factors of a(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 + 120\/10 + -23. Solve 0 = -j + 5*h + 4, -p*h + 0*h - 4 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*(-2)\/(-14). Which is the nearest to -1\/5? (a) i (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1\/6, -0.16, 5, -2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.5 (b) 0 (c) 0.39 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -0.9. Let t = 1 + r. Let k = t - -0.9. Which is the closest to -1\/3? (a) -2\/3 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6780.737ng to grams.\nAnswer: 0.000006780737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10708106333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*m = 218, -4*m - 3094668 = 3*z - 3094366 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21138.\nAnswer: 2, 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = 25*x - 4756. What is the highest common divisor of 1189 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 - 38*h**3 + 2*h**2 - 5009*h wrt h.\nAnswer: -48*h**2 - 228*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 438222, 876448, 1314674, 1752900, 2191126, 2629352?\n\"Answer: 438226*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 15*d**2 + 25*d - 58. Determine f(-12).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1*b)\/b)**(-43) assuming b is positive.\nAnswer: b**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**2\/m**(5\/4) assuming m is positive.\nAnswer: m**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(174586 - 174586 - 149*z - 283*z)*(3*z**4 - 6*z**4 + z**4).\nAnswer: 864*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3195*u - 3969 = -6289*u + 3175*u for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12. Suppose -5*v - 72 - 113 = l. Suppose -4*x = 5*j + 158, -3*x - 7*j + 8*j = 109. Are x and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/18*6\/(-200). Let i = s - 67\/300. Let g = 88.4 - 89. What is the second smallest value in g, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v**2 + v. Let s(c) = -427*c - 71. Determine s(m(b)).\nAnswer: 4697*b**2 - 427*b - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4695993 to the nearest integer?\nAnswer: 2167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65621 + -1?\nAnswer: -65622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, 3, -33, -4 in decreasing order.\nAnswer: 3, -4, -33, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) 2 (c) -2\/5 (d) 0.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8c47 (base 15) to base 3\nAnswer: -1111211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2\/4)\/(2\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*d**2 + 94*d**2 - 147*d**2 + (3*d - 3*d - 2*d)*(0 + 0 - 2*d) - d**2 - 3 + 3 to q + v*d**2 + k*d and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15064 - 15235.43. Let a = p - -170. Let q = 1.4 + a. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 5*c + 2*c + (-2 + 5 + 0)*(4*c + 2*c - 4*c) - 2096 + 69*c + 2096 to h + n*c and give n.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 16*n - 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Sort k, 4, -2 in increasing order.\nAnswer: -2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:49 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 119345771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*d + 18 + 205, u = 4*d - 182. Are d and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(465*30\/180).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 10 = 2*w, 3*w = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 + 458\/(-42) - (-36)\/63?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2. Let z(v) = -93*v - 2. Give u(z(j)).\nAnswer: 17298*j**2 + 744*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/68 (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:41 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25732871 plus 1611?\nAnswer: 25734482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -50\/45249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20489903 + 0.2?\nAnswer: -20489902.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 2108\/(-153))\/((-3)\/9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -280 + 13*h**2 + 280 in the form y*h**2 + o + a*h and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 28*u**2 + 13*u**2 + u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/(-4))\/(9\/(-12)). Let d(p) = p - 6. Let q(w) = -2*w + 18. Let r(u) = s*d(u) - 5*q(u). Calculate the smallest common multiple of r(-4) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -4*z, -10*z + 8*z = -2*x. Let o(s) = -4*s + 2. What is o(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2266 + 706. Let y = 4727\/3 + q. Let t = 15 - y. Sort -6, 2\/7, t in ascending order.\nAnswer: -6, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287196*y - 9700 = 1287390*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let w(o) = -4*o - 3. Suppose 4*f - 12 = -b, -5*b = f + 3*f - 28. Let l be f\/(-5) - (-26)\/(-10). Determine l*q(a) - w(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 56631, 226500, 509605, 905946, 1415523, 2038336?\n\"Answer: 56618*p**2 + 15*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6435)\/(-26))\/33*(-2 - (-4)\/6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1945*s - 1254504. Determine r(645).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o = 77*o + 92*o + 735 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 + 6*h - 2. Let p be k(5). Let b(o) = 36*o - 4. Let s be b(p). Suppose -4*t + s = -0*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26104 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-3 + (-542)\/(-60)) and 630\/200*4\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - 1 - ((313 - 299) + -55)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 115 = -3*a + 2*s, -245 = -5*a - 4*s. Let u(j) = -j**2 - 2*j + 2*j - 2 + 7. Let z be u(0). What is the greatest common factor of a and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*w - 4, -7*a = -3*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/(9\/6). Let u = 56 - 52. What is the highest common divisor of u and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63*(-7)\/(-42))\/(-2 - 11\/(-4)). Which is the nearest to -0.06? (a) 12 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/117 and -1 + 2 + (1182\/(-144) - -7).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127017 is divided by 121381?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-9)*n*n*n\/(((n\/(n*n**1))\/n)\/n))**(4\/35) assuming n is positive.\nAnswer: n**(-8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(6*l**2 + 10*l - 10*l) + (-3 + 2 - 1)*(-4 + 4 + l**2) + 6*l**2 + 18*l**2 - 20*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = 63*o + 4*j - 13*j - 244, -2*o - 3*j = -0*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**3 - 21*p - 122 wrt p?\nAnswer: 3*p**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 89 in increasing order.\nAnswer: -5, 6, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4984*r**2 + 445*r. Let b(a) = 11*a**2 - a. Let v(s) = -890*b(s) - 2*j(s). Let k(w) = 7*w**2. Calculate v(k(d)).\nAnswer: 8722*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1293 + 208*w + 1293)*(-45 + 39 - 51).\nAnswer: -11856*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwlaawl. Give prob of picking 2 w and 2 a.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15*337\nAnswer: -5055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2862246 (base 9) to base 11\nAnswer: -987332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 27*u - 5*u - 6*u + 0*u**2 - 9*u - u**2. Let x(t) = 3*t. Determine x(d(q)).\nAnswer: -3*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + b + 5*q = 50630 - 50589, 7 = 4*b - 3*q - 36 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o - 1246 + 1438 = 0. Which is the second biggest value? (a) 0.07 (b) 3 (c) o (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 10) to base 3.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*g - 297. Calculate the remainder when g is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367213681?\nAnswer: 547, 671323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/51100 and -61\/3592330.\nAnswer: 35923300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (1 - -2) + (-4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * -0.04.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 9 - 34. What is the remainder when 70 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 259*l**3 - 1 - 1.\nAnswer: 259*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1662 by 3.\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**(-12) assuming o is positive.\nAnswer: o**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73745 and 40.\nAnswer: -2949800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45453 and 0.02?\nAnswer: 909.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13391006, -13391004, -13391002?\nAnswer: -13391000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 7227.7.\nAnswer: -43366.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from kciickkkkickciiiik.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 81915\/(-635) + (-230)\/(-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 92 = -2*n, 5*n + 76 = 3*d + 9*n. Solve -4*w + 8*w - 5*z - d = 0, 0 = -4*z - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*w = 2*w + 684. What is the remainder when 43 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 2. Let v be -2 - (-22 - (k + -2)). Suppose 3*p + p - 31 = -3*g, -3*p + g = -v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzl when three letters picked without replacement from {l: 11, q: 1, g: 2, p: 5, z: 1}?\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**2 + 39*o + 7. Give s(-5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1376 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from zizrziiziiizzzzziz.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 37 - 12) + -11 + 73 + (-13 - -5)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(3\/12). Suppose w - 5*p = -l*p + 23, 0 = -4*w - p + 92. Let f = w - 8. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10251084 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*w**2 + 48*a**3*w + 3*a**2*w**2 + a**2 + 10876*a*w**2 + a - 4*w**2 - 798*w - 19 wrt w.\nAnswer: 6*a**3 + 6*a**2 + 21752*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**4 + 7*f**4 + 0*f**4 - 21*f**3 - 52*f**2 + 2*f**4 + 22*f**3 + 57*f**2 + (f**3 - 2*f**3 - f**3)*(-f - 2*f + 2*f).\nAnswer: 21*f**4 + f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 39*t**2 + 80*t - 23. Calculate the remainder when h(-41) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:51 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 6. Let s be 4\/6*(-3)\/(-7). Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 - 369\/(-7). Let q = 2873 - 2910. Let f = q + m. What is the lowest common multiple of f and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528228 (base 9) in base 14?\nAnswer: a6744d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14) + (-32)\/14. Suppose -2*h = -2*y - 6, h - 9 + 4 = 2*y. Let v be h*(2 + 0\/c). Is v <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 (base 12) in base 14?\nAnswer: 10ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -143.65336*-2\nAnswer: 287.30672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -13*z**2\/2 + 7*z + 5. Let m = -8 - -5. What is the units digit of x(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6035, 6024, 5995, 5948?\nAnswer: 5883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1734 - 538 - 224 + 242 + 37)*(4 - 4 + 4)*(-2*f + 2 - 2) in the form i*f + y and give i.\nAnswer: -10008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -272? (a) -4 (b) 0.4 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joj when three letters picked without replacement from ojnvoovojonnlovv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/4 + 7*o**3\/3 + o**2 + 2*o - 1. Calculate the remainder when m(-5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 21 + 88 - 37?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (20 - -60) - (0 + 7 + 8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -3\/7, 4, -0.3, 0.3, 0.6, -0.19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24231*p - 72 = 24235*p, -2*d - 4*p = 72 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*a**3 - 59*a**2 + 1295*a + 52989123 wrt a?\nAnswer: 27*a**2 - 118*a + 1295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*h + 99 - 95 - 918*h.\nAnswer: -861*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:59 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4144040 and 194964?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/4 (c) -7\/3 (d) -0.02 (e) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, k: 2}. Give prob of sequence gkgg.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, d: 1, o: 2, h: 1}. Give prob of sequence ohs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295 = 70*a + 41*a - 3367 for a.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1411*u = 1390*u + 1207584. What are the prime factors of u?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 1, 20656, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 5\/17, 270488?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-4))\/(4\/(-16))*(-3801)\/1629\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 20*q**2 + 18*q + 7. Let w be n(9). Let k be ((-63)\/2)\/((-1)\/2). Calculate the greatest common divisor of k and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.4. Let y = -0.55 - 0.15. Let n = y + 3.7. What is the second smallest value in s, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/4055 (c) 2 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586279?\nAnswer: 131, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 124651 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: Does 47 divide 12925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) -2.1 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 88\/24)*(-36)\/(-10). Solve 5*z = -b + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 825?\nAnswer: 4\/825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from {m: 1, a: 2, u: 11, p: 2, t: 3}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35188*w**2 - 104489*w**2 + 34735*w**2 + 37221*w**2.\nAnswer: 2655*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -78, -13, 217 in descending order.\nAnswer: 217, -4, -13, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*c**3 + 58*c**3 - c**3 - 204*c**3.\nAnswer: 289*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 4, g: 1, a: 2, k: 3}. What is prob of sequence gink?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -91 and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 44?\nAnswer: -27\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4055*d**2 + 8*d - 2658. Let j(g) = 1352*g**2 + 3*g - 886. Let f(c) = 8*j(c) - 3*p(c). What is the derivative of f(v) wrt v?\nAnswer: -2698*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30025865 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 442 = -66*j + 169 - 591 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-p + 0*p + 2*p) - 3*p - 4 + 8 - 1.\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 228005749 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.057 + -0.023. Which is the third biggest value? (a) 0 (b) 3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let t(a) = 37*a + 12. Let f(s) = -5*j(s) - t(s). Let w(m) = -352*m + 32. Let g(y) = 32*f(y) - 3*w(y). Let p(h) = 3*h**2. What is p(g(c))?\nAnswer: 3072*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + 2*p. Let l(w) = -w - 11. Let a be (3\/4)\/((-3)\/36). Let u be l(a). Give v(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1001b1 + -170?\nAnswer: -100351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767913338.\nAnswer: 2, 31, 79, 156781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-7)*1*1\/(6\/(-252))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + 9. Let i be z(-6). What are the prime factors of 1*-2*(-1 + i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 4*k**2 - k + 3. Determine r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8938.161 millilitres in litres?\nAnswer: 8.938161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550632 and 26752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36213152, -36213131, -36213110?\nAnswer: -36213089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 2*t**2 - 2. Suppose 5*x = -4*h + 23, 3*x + 9 = 3*h + 4*x. Calculate a(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)\/(sqrt(24)\/sqrt(2)) + -3 + (sqrt(11) - (sqrt(66)\/(sqrt(12)\/sqrt(2)))**2))*3.\nAnswer: -42 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*o + 13*o - 3. What are the prime factors of ((-8)\/o)\/((-16)\/(-744))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -341, 1466, 6621, 16798, 33671, 58914?\n\"Answer: 279*h**3 - 146*h - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166880 and 76132.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54795 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1320, -2656, -4010, -5388, -6796?\n\"Answer: -l**3 - 3*l**2 - 1320*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (96\/(-144))\/(-2*1\/9). Let l(a) = -a**3 + 3*a**2 + 4. Let w be l(n). Solve -1 = -w*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11*w = 5*w, -4*c + w = 0. Solve -2*b + 2*k = 2, 3*b + 3 + c = 2*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqirfircw. What is prob of sequence fq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -118687, -230179, -341671, -453163?\n\"Answer: -111492*q - 7195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -56*m**2 + 11*m - 1. Let c(w) = 37*w**2 - 7*w + 1. Let i(y) = 8*c(y) + 5*k(y). Is 8 a factor of i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1227*g**4 - 81*g + 1229*g**4 + 1872 - 43*g wrt g?\nAnswer: 8*g**3 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 23*g - 23. Calculate the remainder when 1916 is divided by d(-25).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a = 9. Suppose -5*g + 63 = -2*g - a*c, g = -2*c + 15. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -852 + 854. Solve -o + a = p, -5*a - 1 = o - 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/120 + 13*q**5\/20 - 143*q**4\/24 + 35*q**3\/2 + q**2 + 173*q - 7. Solve w(k) = 0.\nAnswer: 1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-12)\/9 - 28\/(-24)). Solve -g*v + 10*v + 24 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001770717 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25972 + -207779\/8. Let z = -0.3 + 5.3. Let l = z + -3. What is the smallest value in l, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -3, 25, 0 in decreasing order.\nAnswer: 25, 0, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -539 - -406 - (-13 + 2 - 6).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 11*m - 52. Suppose 5*o + 8 = 9*o. Let d(s) = 19*s**o + 27*s**2 - 45*s**2 - 51 - 12*s. Let t(a) = -4*c(a) + 6*d(a). Factor t(u).\nAnswer: -2*(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568341.\nAnswer: 3, 63149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 5. Let h be l(6). Let v(q) = 156*q - 1 - 154*q + h. Let x(s) = 13*s**2. Give x(v(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:38 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2\/3 + 34135004*f - 409619984\/3 = 0?\nAnswer: 4, 25601249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from zqvsqjn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -15*d**7\/14 + d**4\/6 + 4*d**3\/3 + 21*d. What is the third derivative of m(f) wrt f?\nAnswer: -2700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*((4*q - 2*q + 0*q)*(1 + 6 + 3) - q + q + 2*q + (-3 + 2 - 1)*(-40 - 16*q + 40)).\nAnswer: 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939723513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand 22*h - 11*h + 2*h**3 - 10*h + (2*h**2 - 3*h**2 + 3*h**2)*(0 + 0 + 2*h) - 2*h**3 + 5*h**3 - 2*h**3.\nAnswer: 7*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2, j: 1, i: 1, k: 1, g: 1}. Give prob of sequence ipg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*g + 161*g + 4378*g**3.\nAnswer: 4378*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29112143, -29112145, -29112147, -29112149, -29112151?\n\"Answer: -2*z - 29112141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/4 + -1 - 28545\/7612?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 5*h + 2*h + (-h + h + h)*(4 + 1 + 50).\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*u - 206032 + 203118 = 0 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -2093*n**4\/12 + 267*n**3 - 322*n. Find the second derivative of b(i) wrt i.\nAnswer: -4186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -260 - -285.79. Let y = z + -26. Let r = y + -0.19. Sort -4, -2\/3, r in descending order.\nAnswer: r, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001000011011010001 (base 2) in base 16?\nAnswer: -2486d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -4\/5 (b) -4 (c) -3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 0 - 2\/15*i**6 + 0*i**2 + 1\/4*i**4 + 0*i**3 + 0*i**5 - 2*i. Find the third derivative of k(g) wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 885844 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 bigger than 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 19415 = 5*c, 19413 = 3*v + 3*c. What is v rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -7*g + 4*g + 21, -3*g + 6 = -3*c. Suppose -g*j = 441 + 389. Calculate the common denominator of j\/6*(-6)\/40 and 15\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290543 times 204\nAnswer: 59270772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/21)\/1*(-77)\/(14630\/(-228))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 4*a - 87, 131 = 5*q + 2*a. Suppose 0 = -4*r - r - q. Let f(h) = 3*h**2. Let s be f(1). Sort -3, r, s in descending order.\nAnswer: s, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + j**2 - 2*j**2. Let z(l) = 0*l - 3*l + 4*l - 3*l. Give z(k(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 4*s**2 - 5*s**2)*(-15 + 32 + 4*s - 19).\nAnswer: -4*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209, 2, 0.4 in decreasing order.\nAnswer: 209, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-39)*7\/(658\/141)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - 4*z + 3. Let k be 4 - (2 + -3)\/1. Suppose 23 = -k*p - 5*o - 42, -53 = 4*p + 3*o. Let m(l) = l**2 + l - 1. Determine p*m(f) - 4*x(f).\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1890\/(-119) + (-4)\/34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**4 + 88*v**3 - 732*v**2 + 2016*v - 1728. Let l(m) = -m**3. Let x(f) = 4*l(f) + o(f). Factor x(b).\nAnswer: -3*(b - 12)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -104602\nAnswer: -3\/52301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/2)\/(((j\/((j**12\/j)\/j))\/j)\/j))**(-20\/3) assuming j is positive.\nAnswer: j**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11015 + 11056.054. Let r = 9.9 + 31.1. Let n = i - r. Round n to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 4. Let l be o(5). Suppose 3*d - 5*d - 3*z = -13, -d - 2*z + 5 = 0. Calculate the highest common divisor of l and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3 + 153*z**2 - 576*z + 564 = 0?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16401693 to the power of 1\/2, to the nearest integer?\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*o + 0*o + o)*(3 - 1 - 4)*(4 - 5 - 15) to u + i*o and give i.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-72 - -84) + (1 - 4) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 37. Is n(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14042 and 1547.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 7, w: 1, s: 10}. Give prob of sequence hfw.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29\/343 (b) -2 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -47, -117, -261, -503?\n\"Answer: -4*a**3 - a**2 + 11*a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m. Let h = -23 - -70\/3. Let b(c) be the second derivative of -2*c + h*c**3 + 0 + 0*c**2. Calculate u(b(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = -4*x + 7*m, -2*m + 10 = 2*x. Sort 2, x, 4 in decreasing order.\nAnswer: x, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -25*z**3 - 12*z**2 - 10*z. Let s(v) = -24*v**3 - 10*v**2 - 8*v - 2. Calculate -4*a(g) + 5*s(g).\nAnswer: -20*g**3 - 2*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -285*d + 300*d - 34275. Let l = -1216 + d. List the prime factors of l.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8534, -17044, -25496, -33860, -42106?\n\"Answer: 5*l**3 - l**2 - 8542*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4985982 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263 + 1104. Suppose q + 888 = 7*r. What are the prime factors of r?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-65) + 897\/115\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-5)\/(-2))*(-248)\/93\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 - 2*i**2 - i + 1. Let g be b(-3). Let j = -86 + g. Let p be 2\/4 + j\/14. What is the second smallest value in 0.5, -0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 268645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17577 and 12865062.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - a + 6*a + (-1 + 4 - 4)*(2*a + 4*a + 0*a) - 4 + 4 - 2*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -785 - -4681. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (196\/(-16) - -4) + (-2)\/8 and -20\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -k + 7, 7 = d + 97*k - 100*k for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let d be t(3). Let f be (-3)\/d*(-30)\/(-9). Solve 2*g = -3*o + 2*o - 12, -f*g = -o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Suppose l*n + 15 = -n. What is the third smallest value in -0.5, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u. Let x(y) be the second derivative of y**6\/720 + y**4\/12 + 2*y. Let f(t) be the third derivative of x(t). What is i(f(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 - 5*l + 3. Let a be x(-6). Suppose 4*k - 171 = a. Suppose -j + k + 1 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 308 + -922\/3. Factor -2\/3 + 7\/3*d**3 + 2*d**2 + l*d**4 - 1\/3*d.\nAnswer: (d + 1)**2*(d + 2)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.38 + 6.58. Let r = -5.20002 + s. What is r rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.3 (b) 33 (c) -1\/10 (d) -0.5 (e) -4 (f) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -16*l - 3. Is t(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 5) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k + 4. Give w(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -24. Solve w = 4*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and 4?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20130 + 31?\nAnswer: 20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b = 75*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 3905*k**2\/2 - 3317*k - 5145. What is the derivative of a(g) wrt g?\nAnswer: 3905","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 5, -395 in descending order.\nAnswer: 5, -3\/4, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6*(-7)\/((-420)\/6190))\/1 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h - 8. Let x(w) = 2*w + 10. Let s(u) = -5*o(u) - 4*x(u). Let z be 1*(-5 + 3 - -3). Let v be (0 - -1)*(z - 2). What is s(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 267690.\nAnswer: -16\/133845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 7*m - 2. Suppose 0 = -2*h + 1 + 11. Let o be w(h). Let z be (-1)\/(-4) - 1\/o. Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -23*c - c - 20*c + 42*c. Let o(a) = 48 + 3*a - a - 51. Determine t(o(v)).\nAnswer: -4*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 156*o**3 + 780*o**2 - 8*o - 21. Give i(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590 and 31152.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40)*-3)\/sqrt(8))**2 + sqrt(1280) + 0 + 5*sqrt(180) + 3)*4.\nAnswer: 192 + 184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -55, -140 in decreasing order.\nAnswer: -4, -55, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166448*u**2 - 6*u + 6*u - 540577*u**2.\nAnswer: -1707025*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319780 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/20)\/(2\/20). Suppose 0 = 3*k - a*j - 1, 2 = -5*k + 2*j + 10. Suppose -15 = -g - k*g. Solve -4*f - 3*m + 10 = -g*m, 9 = 2*f + 3*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738473231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6845944*l*r**2 + 51*l*r - 9*l - 1187*r + 1 wrt r.\nAnswer: 13691888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -11. Let d = a + -3. Does 3 divide ((-2)\/d)\/((-3)\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 4) to base 8.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/78 + (-1)\/(-6). Let h = -4526 + 4531. Solve 16 = m + h*x, w = 4*m + 5*x - 24 + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(1 + -2) + 7. Let j be (-1)\/((-5)\/15) + (1 - -7). Suppose -58 - 74 = -j*h. Calculate the highest common divisor of h and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y - 1. Let b(z) = -4*z. Let f(a) = -7*b(a) - 4*t(a). Let v be f(-2). Solve 0 = i + 5*j - v, -2*j = 2*i - i - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3\/2 + 474234*q**2 + 22762679*q\/2 + 10907106 = 0.\nAnswer: -948444, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - y + 17 = 3*y, 13 = d + 4*y. Let f be (-15)\/(-25) + (-16)\/10. Is f less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + -1)**2 - (sqrt(165)\/sqrt(3))\/sqrt(5).\nAnswer: -3*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2170038651 to 3 decimal places.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159038 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:56 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 2. Determine y(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2330 + -2427. Which is smaller: w or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 20868*y**2 - 20859*y + 41730 = 0. Calculate y.\nAnswer: -6955, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164493846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-10) - (-4)\/10. Let q = d + 3. Let t = -31 + 31. Solve 2*c + q = -t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 2201?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:48 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1355*o - 1129. What is the least common multiple of x(-2) and 51?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3115905, -3115953, -3116001, -3116049?\nAnswer: -3116097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1012002233030?\nAnswer: 1012002233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 17. Let i be t(10). Suppose -2*s - i = -11. What is the nearest to 2\/5 in 5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -659700 to the nearest ten thousand.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30106, -1, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(4\/(-17)) + (-42)\/(-56). Let t(r) = 3*r**2 - 3*r - 14 + r**3 - 6*r**2 + 8 + f. Calculate t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4 in ascending order.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 30 - 26 = -3*s + 32, -4*s = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydy when three letters picked without replacement from {y: 2, d: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 12*p**2 + 27*p + 162. Let k be h(-6). Solve -3*l + 5*b - 9 + 46 = 0, k = -5*l - 2*b + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 293.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1\/34 (c) 2\/3 (d) 5\/254 (e) -4\/3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -221423242?\nAnswer: 221423302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 109138 divided by 4\nAnswer: 54569\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48\/5 of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - ((13 - 0) + 532 + -542 - 23).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3641*f - 118190 - 125147 = -512*f + 117974 for f.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 45889879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 208.7*0.214821\nAnswer: 44.8331427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 10 = 5*j - 9, 2*j + 14 = 5*z. Find the second derivative of 5*u + 8*u + 6*u**3 - 11*u**j wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -0.06.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 9:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -5 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 17 + 0 + -6 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1598 = 23*x - 19*x - o, 0 = 3*x + 2*o - 1204. What is the greatest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219020000 rounded to the nearest 1000000?\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -177033, -708120, -1593267, -2832468, -4425717, -6373008, -8674335?\n\"Answer: z**3 - 177036*z**2 + 14*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.706909 + -468?\nAnswer: -510.706909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77517.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15618 and 130980.581?\nAnswer: 115362.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k + 25. Let n = -0.6 + -0.4. Let c = n + -1. What is the nearest to 0.2 in k, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 8 = -14*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.255 + 7.255. Let t = -15\/7 + 2. Which is the nearest to 0? (a) 1 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/5)\/(((-4)\/(-14))\/(730\/2044))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110277 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 11*t**2 - 12*t - 15. Suppose 0 = 14*s - 16*s - 20. Calculate v(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-8)*4\/5 - 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 884701.\nAnswer: 24771628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 214711848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14*q**2 - 104*q + 512. What is u(5)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:24 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 375, 3, 71.\nAnswer: -35, 3, 71, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 1, d: 2, j: 4, q: 4, h: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 - 11*l. Let f = -6 + 1. Let a be x(f). Suppose 2*y + y + 3 = 0, -63 = -a*o + 3*y. What is the highest common divisor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*l + 16, 312 - 277 = 5*l. Let t(d) be the first derivative of -x + 1\/2*d**2 + 0*d. Let o(c) = 6*c + 4. Give t(o(p)).\nAnswer: 6*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*t - 435*t**2 + 430*t**2 + 2 + 53*t to k + h*t + g*t**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b + 1\/2*b**2 + 24 + 1\/3*b**3. Let j(z) = 6*z**2 + 2*z - 5. Give j(m) - 5*p(m).\nAnswer: m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.046 times 27\nAnswer: 1.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 - 97 = -8*w. Suppose -2*j + m = -w, -2*j - 8*m + 13*m = -51. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2\/(-4))*279\/(-1674)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 11*h**2 - 13*h + 17. Let q be d(12). Suppose q*z = -3*w + 19, -4*w - 3*z = 2*z - 17. Put -1, 0.1, w in ascending order.\nAnswer: w, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5 (c) -0.07 (d) 3 (e) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10898733 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = -0*s - 88 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + w = 2*w - 5, -p + 17 = -5*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-4)\/(-2) + 1. Suppose 3*i + u = -2*i + 10, -6 = -p*i + 5*u. Suppose -2 = -g + 2*o, g + 5*o + 17 = 47. Solve 0 = 2*l + i - g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 29*u - 64. Let q be n(-2). Solve -a = 4*h + 13 - 4, 2*h + 2*a = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -129998\/15 or -8667?\nAnswer: -129998\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (0\/5 - 2). Solve m - d = -0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 * -5\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*s = -s - 33, 2*s - 54 = -4*u. Let d(z) = 4*z**2 + 27*z - 99. What is the tens digit of d(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1107, 0.01, 0.09 in descending order.\nAnswer: 0.09, 0.01, -1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y, -h + 3 + 1 = -2*y. Suppose 10*z - 30 = 8*z. Suppose 7*r - z*r = -40. Let c(w) = 2*w - 3. Let i(q) = -q + 2. Calculate h*c(s) + r*i(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10011010110100000110?\nAnswer: -10011010110100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 4*a)*(a + 3*a - 3*a + (-a - 4*a + 3*a)*(-1 + 3 - 4) - 3 - 5*a - 5*a + 3*a).\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 1 (c) 2.6 (d) -9246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/11, -0.3, 2, 3 in descending order.\nAnswer: 3, 2, 2\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400239*a**2*t**4 - 8150*a**2*t - 12*a*t + 7 wrt t.\nAnswer: 4802868*a**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54740639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:24 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1994*p. Let r(a) = a. What is r(s(l))?\nAnswer: -1994*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2\/2 + d - 2. Let s be 2\/1 + -10 + 1. List the prime factors of w(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69976.92 years to months.\nAnswer: 839723.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/2 + 67*s**3\/4 + 359*s**2\/4 - 163*s + 57 = 0. What is s?\nAnswer: -6, 1\/2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = c - 33 + 26, -3*n + 5*c + 21 - 24 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(sqrt(275) + 2))**2 - (sqrt(275) - (sqrt(275)*2 + 2)) - (-4 + sqrt(275) + sqrt(275)*3)*3).\nAnswer: 25*sqrt(11) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 244196, 976751, 2197690, 3907019, 6104744, 8790871, 11965406, 15628355?\n\"Answer: x**3 + 244186*x**2 - 10*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47609 is divided by 3826?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -443, 4, -1\/11, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 14*c + 28. Suppose -64 - 41 = 15*j. Let x be d(j). Calculate the greatest common factor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13643620 is divided by 378989.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.0893 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 0 + 1)*-1. Let k(o) = 5*o. Let t be ((-6)\/(-15))\/(3\/75). Let w(g) = t*g + 13*g - 25*g. What is p*w(q) - 4*k(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 4*z**4 + 50*z**3 - 8*z + 10*z - z**4 - 46*z**3 to the form i + d*z + j*z**4 + v*z**3 + f*z**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) + -1)*-2 - sqrt(2736)) + sqrt(2736)*-4*-1 - (-2 + 1*(1 + sqrt(2736)) + -1*(-1 + sqrt(2736))))**2.\nAnswer: 48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*w + 10, 4*w = -15*z + 5635 - 5573 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - o**4 - 45 + 14*o**2 + 42 - 2*o**3 - 7*o**2 - 3*o**4 to the form d*o**2 + n*o + a + k*o**3 + w*o**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 23*t + 7 = 19*t, -5*u - 3*t + 58 = 0. Suppose 0 = 4*g - 2*g. Sort 3, u, g in ascending order.\nAnswer: g, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*h**2 + 256*h**2 - 510*h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2199, 3900, 5559, 7176, 8751, 10284?\n\"Answer: -21*h**2 + 1764*h + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -465.43866808 - -282.438668. Let h = -183 - j. What is h rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -56, 0.2, -2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6 - 4 + 3 + 6. Suppose 4*c - 2*c + 4*z = -32, 5*z = -c - 28. Let r(i) = 2 - 2*i - 5 + 13. Determine c*w(p) - r(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let l be (-2)\/(-1) + (0 - x). Suppose -9 + 3 = -3*a. Put -1, a, l in descending order.\nAnswer: l, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*i + x - 118699, -x = 2*i - 118701. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42381089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 167353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 - 10*w**2 - 8*w + 39. What is the units digit of z(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -20270*o**2 + 20289*o**2 + 2 + 2*o - 4. Let a(r) = 1768*r**2 + 187*r - 187. What is 2*a(k) - 187*s(k)?\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*q + 42, 0*g = 2*g - 3*q - 11. Suppose -x - 1 = -4*v + 18, -3*x - g = -v. Factor -2\/3*h**4 + 8\/3*h**3 - v*h**2 + 8\/3*h - 2\/3.\nAnswer: -2*(h - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355 or 353?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwwhwwwhhhtwhhhwww. Give prob of picking 1 h and 1 t.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9160 is divided by 8942?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395435, -790871, -1186307?\nAnswer: -1581743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860760 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(3))\/sqrt(3))\/sqrt(2) - (4 + sqrt(288) + 0).\nAnswer: -11*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4*x**2 - 3*x - 34. Calculate the least common multiple of b(6) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 21, 30?\n\"Answer: 9*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 3, m: 9}. What is prob of sequence mv?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3201901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2034 by 6.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1665*u - 316*u + 607*u + 63*u as g*u + k and give g.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1321 + 2216. Let s = m + -191. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 2:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:31 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + 597\/12. Suppose l - 6*l + y = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*q - 12, -3*q + 4*s - 5 + 0 = 0. What are the prime factors of (-2)\/q*(-156)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15*d - 429. What is u(-29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1088\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12, 3, 348 in descending order.\nAnswer: 348, 3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4523, 4525, 4527?\nAnswer: 4529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-6 - (-3 + -13 + 9)) + -26\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -103 + (-20)\/(-5) - 0. Let y = 213 + f. Find the common denominator of 25\/9 and (14\/y)\/((-8)\/(-72)).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = 168 - 5388. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and 8007.\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 3*g**2 - 5*g**2)*(8*g - 2*g + 28*g) in the form o*g**2 + n*g**3 + j + l*g and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-2)\/30). Let f(k) = -k**3 - 6*k**2 - 5*k - 6. Determine f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 456 - 452. Suppose -11*k + 13*k + 5*l - 10278 = 0, l - m = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 236.00824. What is w rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 1917.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 7*i - 27. Let c be h(3). Sort -2, c, 5 in descending order.\nAnswer: c, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 113. What is the highest common divisor of 56 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 3, -2, -0.18, 1\/25, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sptp when four letters picked without replacement from {i: 4, p: 3, d: 2, t: 9, s: 1}?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396741.\nAnswer: 3, 132247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(243))**2*3 - (sqrt(243) + 0 + -4 + (1 + sqrt(243) - sqrt(243))*-1).\nAnswer: 207*sqrt(3) + 782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/(8\/(-36)) + (-6)\/6. What is the fourth biggest value in -2, 21, p, -5, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1506, 3007, 4500, 5985, 7462, 8931?\n\"Answer: -4*j**2 + 1513*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) -11\/18 (d) 0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*t + 7*r*t*v - 2*r*v**3 + 3*t*v**3 - 12*t*v - 5*v with respect to r.\nAnswer: -2*r*t + 7*t*v - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17650*a + 388271. What is g(22)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*f - 17, -n = 4*n - 2*f + 17. Let j = -6 - 0. Let q = -6.4 - j. Which is the biggest value? (a) q (b) -1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67\/159819 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6302 and 710166.\nAnswer: 2237733066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/7, -20, 258724, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - -286. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267984636?\nAnswer: 2, 3, 37, 603569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = 4. Let r be -1 - -2 - 21\/23. Let g be (-44)\/33 + 1\/3. What is the closest to g in m, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263431 (base 8) to base 14\nAnswer: 25705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - sqrt(42)*-2)\/sqrt(7))\/((sqrt(50) - sqrt(2))*6).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873*v**2 - 101*v**2 + 176*v**2.\nAnswer: -798*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 4*s - 48. Find the common denominator of -121\/10 and 9\/(-12) - 165\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-651)\/14*92\/(-6). Let f = b + -1359\/2. Find the common denominator of f and 48\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 105 = 36*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*8\/276*14\/(-132). Let s = p + 10\/69. Find f such that -2\/11*f**3 - 6\/11*f - s - 6\/11*f**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13008 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + -4 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 660, -115, 134 in decreasing order.\nAnswer: 660, 134, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g*n*u**3 + 2*g*n*u + 233*g*n - g*u**4 wrt u?\nAnswer: 18*g*n*u**2 + 2*g*n - 4*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 112.162. Let w = 0.038 + v. Which is the nearest to 3? (a) 0.5 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 14 = 0, 16*o = 5*r + 13*o - 4289. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1407.\nAnswer: -2\/1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/120 + u**5\/10 + u**4\/6 + 3*u**3\/2 + 10*u**2 - 3*u. Give z(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97969\/5 + 626\/5*w + 1\/5*w**2 = 0. Calculate w.\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 7*h**4\/4 + 10*h**3\/3 + h**2 - 1054*h + 6799. Differentiate b(l) wrt l.\nAnswer: 21*l**2 + 20*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - -5 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -12. Let u = -8 - k. Solve 0*g + u*w - 20 = g, -2*g + 3*w - 19 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let c(u) be the second derivative of -2*u**3\/3 + 2*u. Let j be c(-1). Put j, v, -1 in decreasing order.\nAnswer: j, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158229294 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -30.68. Round k to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 19.4 (b) 4\/9 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 285401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977874, -1955736, -2933604, -3911478, -4889358, -5867244, -6845136?\nAnswer: -7823034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000202112 - -1121?\nAnswer: -2000200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90)\/(18\/45).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18527 + 230*q + 18509 - 37026 as l + p*q and give p.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/20 + 14\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1 (c) -29 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.449522 years to millennia.\nAnswer: 0.001449522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -359*a**4 - 2*a**3 - 162?\nAnswer: -1436*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*9\/144*(4*-2)\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 868329935*r**4 - 645778238*r?\nAnswer: 10419959220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose -y*f - 7 = -69. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1341 - 1321. Solve 62 = -o*g + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*j = 5, -g + 6*g - 123 = 4*j. Calculate the remainder when 680 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -54 - (2 + -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606661 is divided by 1618?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -1.7293787.\nAnswer: -16.2706213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(275) + (sqrt(275)*2 - sqrt(275)))*2 + -2.\nAnswer: -1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 9 = 0. Let w = 13 - b. Differentiate x**w - 2*x**4 + 3*x**4 + 3 wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -103 and -305\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**5 - 70*b**4 - 120*b**3 = 0.\nAnswer: -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 3*q + 6. Let l be u(-5). Suppose -289 + l = -3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 164077, 326135, 488193, 650251, 812309?\n\"Answer: 162058*o + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 291\/(-15) - (-26 - -6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**15\/(w\/(w\/(w\/(w\/(w\/(w\/(w*w*w\/(w*w**(1\/26))))*w)*w)))*w)*w**(-2\/3)\/(w**(2\/29)*w) assuming w is positive.\nAnswer: w**(23305\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162228 and 3990563.\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3211751 and -20?\nAnswer: 3211771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-243)\/6 + 135\/90?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1177703*d + 1177810*d + 8453 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 + 0*o**2)*(3*o + 0 - 2 - 2*o).\nAnswer: o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*g - 1060*g = -35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 2*j - 5. Let r be s(-5). Let f be (-3)\/(-6) + r\/(-2). Let t = f + 20. What is the remainder when 10 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-97128)\/12070)\/57*(-5)\/(-8)\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4458007572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*m - 6*m. Factor 2\/15*d + 0 + 2\/15*d**5 + 0*d**m + 0*d**2 - 4\/15*d**3.\nAnswer: 2*d*(d - 1)**2*(d + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 1017037390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {s: 3, b: 7, f: 9}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -602 + 598.592. Let b = -0.592 + l. Is b at least -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*y + 5*t, 3*y - 2*y - 4*t - 10 = 0. Let o(x) = -2*x**2 + x - 2. Calculate o(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10)*(3 + (-6)\/(-3)). Let r(p) = 16*p - 7. Let t(k) = -5*k - 1. Let d(n) = -5*n. Let z(i) = 3*d(i) - 2*t(i). What is m*r(o) - 7*z(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0 + 1\/11*k**4 - 2\/11*k**2 - 1\/33*k**3 + k. Determine j, given that t(j) = 0.\nAnswer: -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*t. Suppose -t*c = c - 48. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/90 + -163\/18. Calculate the common denominator of 37\/4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlllyyl. What is prob of picking 2 y and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*3 + -3 + 5 + -2.\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c - 12*c - 2*c - 1 + 3 as f*c + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b + 731 = 78*b - 1259*b - 4644 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**5\/5 - 4*g**4\/5.\nAnswer: -4*g**4*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -0.2 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 7063.\nAnswer: 21189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + u + 9, -c - 5*u + 10 = -1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-143) + (-7188)\/624 - 1\/4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + -2. Let p = -17 - n. Put -5, 5, p in descending order.\nAnswer: 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -1, -5 in ascending order.\nAnswer: -5, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*p**2 + 1705071*p - 1705176.\nAnswer: 3*(p - 1)*(35*p + 568392)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/787 or -1?\nAnswer: 2\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 19*q + 14 = 0. Let c(r) = 3*r**3 - 2*r**2 + r - 2. Calculate the remainder when c(q) is divided by (2\/(-4))\/(1\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + -10167?\nAnswer: -10182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 - 20*n**2 - 27*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28813466?\nAnswer: 2, 11, 397, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 17. Let n = 0.06 + 2.94. Let b = n + d. What is the nearest to 0.1 in -2\/23, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -172\/3*c**4 - 1076\/3*c**2 + 4\/3*c**5 + 1916\/3*c**3 + 2352 - 2576*c = 0. Calculate c.\nAnswer: -2, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139526355 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*r*r*r*r\/(r\/(r\/r**(-6)))*(r\/r**5*r)\/r**1)**(-5\/9) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*u + 49 = -24, -3*u = 5*k - 382. Let r(t) = 160 - k - 69 - t. Let i(z) = -5*z + 57. Let s(n) = 2*i(n) - 9*r(n). Calculate s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-2\/13)\/a)\/a*a)\/a)\/a)\/(a\/((a**23*a)\/a*a*a)) assuming a is positive.\nAnswer: a**(284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 37. Let t be p(9). Suppose 15*u + t = -53. Which is bigger: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16750*r**2 + 6923*r**2 + 5823*r**2 + r**3.\nAnswer: r**3 - 4004*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-2) - -4 - 411\/(-6). Find the first derivative of 35*g**2 + 61*g**2 - 32 - z*g**2 - 16 wrt g.\nAnswer: 56*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**3 + 8*z**2 - 6. Let p(j) be the first derivative of -3*j**4\/2 + 7*j**3\/3 - 5*j + 6. Give 5*l(q) - 6*p(q).\nAnswer: q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -294 and 17.49.\nAnswer: -5142.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a**3 - 35 + 0*a**2 + 35 - 2*a**2 as t*a**3 + r + x*a + h*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18 (b) 2\/7 (c) 106792 (d) -40 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 26*t**2 + 30*t + 76. Calculate a(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1458 - 930. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -8*m + 3*m - 13, -2*k = 3*m + 5. Suppose -3*h = -2*o - 6, 0 = 2*o + 2*o + 5*h - 10. Suppose o = -3*g - 3. Sort g, k, 4.\nAnswer: g, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 3*h - 1. Let z be r(2). Let v be (1 - -2)*22\/627. Put z, 3, v in increasing order.\nAnswer: v, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 18 - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30472?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131317, 131286, 131195, 131014, 130713, 130262?\nAnswer: 129631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*v + 10*v**2 + 5*v**2 - 13*v wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -71, -78, -87?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 119*g + 11032. Calculate the remainder when x(-86) is divided by 262.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z - 7 - 15. Let s(q) = 5*q - 3. Determine s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1924)\/(-90) + 2 + (-64)\/36. Let r = v + -541\/25. Let m = 1.51 + 1.49. Which is the second smallest value? (a) m (b) 1\/6 (c) 4\/3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26938 - 92388 = 1870*n for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -4, 734 in decreasing order.\nAnswer: 734, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -459075 divided by 3?\nAnswer: -153025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:18 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.083376 + 434.613376. Let g = -432 + z. Let y = g - 1.5. What is y rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30782 - 30785. Sort i, 29, 2, 3 in descending order.\nAnswer: 29, 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**2 + 6. Let k(q) = 6*q. Determine k(l(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/24 + 16*i**2 + 4*i. Let w be 1\/1*(3 + (6 - 10)). Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -19*u**2. Let j(k) = 3*k**2 - 9*k. What is j(n(s))?\nAnswer: 1083*s**4 + 171*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccwwidiciwww. Give prob of picking 1 i and 2 w.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -145. Suppose -5*x + 53 = c. Solve 0 = -b + 3*d - 0*d + x, 0 = 5*b - 5*d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-7\/4))\/w**7*(w\/(w**(-9)\/w))\/(w**11\/w) assuming w is positive.\nAnswer: w**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 + 307*i**2 - 69*i + 643. Determine s(-77).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 - 39 + 10)*(3 + 4*j - 3) + 4*j - 3*j + 0*j)*(-92*j - 18*j**2 + 92*j)*(-j + 0*j + 0*j).\nAnswer: -1278*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**7\/42 - 7*t**5\/12 + 5*t**4\/4 + 2*t**2 + 11. Find b such that d(b) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*b = 0, 2*z + 5*b + 65 = 70 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2059 greater than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*v - 119 = 0, 2*z - 5*v - 10 = 57. Solve -z = 8*k + 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 2739.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:27 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 1 + 17*j**3 - j - 18*j**3 + j. Let y be w(2). Solve -5*s + 4*s = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 16199582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -70175, -140372, -210569, -280766?\n\"Answer: -70197*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 + 3*i**2 - 7*i + 5. Let l be q(1). Let m(f) = 26*f**2 + 16*f + 26. Let n(z) = 5*z**2 + 3*z + 5. Give l*m(o) + 16*n(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 153\/4*p + 81 + 11\/2*p**2 + 1\/4*p**3 = 0.\nAnswer: -9, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -1356.\nAnswer: 25\/1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5803 - -8661. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57 at least -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 553?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 815868 and 2304.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(136)*2 + sqrt(136) + (sqrt(136) - (sqrt(136) - (-1*sqrt(136)*-4 - sqrt(136)))))\/((sqrt(96) - -5*(-4*sqrt(96) - sqrt(96)))\/sqrt(12)))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - 16*z**2 + 15*z - 24. What is the units digit of n(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 - 1548*u\/5 + 5056 = 0.\nAnswer: -790, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 4. Let o(a) be the first derivative of -7*a**3\/3 - 7*a + 3. Give -5*n(s) + 3*o(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + x**2 - 3*x**2. Let y(j) = 3*j - 2. Let d(a) = -13*a + 9. Suppose -r = 2 - 4. Let l(b) = r*d(b) + 9*y(b). Give l(k(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -27*x**4\/16 - 51*x**3\/4 - 93*x**2\/8 - 15*x\/4 + 1. Factor u(o).\nAnswer: -3*(o + 5)*(3*o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3004a2 (base 12) in base 10?\nAnswer: -747194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -0.5 (c) -6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:25 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1\/(-6)*(-1350)\/(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.293 and -79141308.42?\nAnswer: 79141309.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2452814 at most -17169700\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {k: 2, e: 2, i: 3, w: 1, g: 6, s: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004098468568 to 7 decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24764654 - 3?\nAnswer: 24764651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 57 = -4*p, g - 72 = -5*p + 3*g. Suppose -3*k + 8 = -2*x - 0*k, -x - 3*k = -p. Let z(d) = -5*d**2 + 4*d**x - d**2. Let u(i) = -16*i. Give z(u(f)).\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let d(r) = 6 + 1 + 3 - 4. Calculate -d(k) + 4*p(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 27752 and 27752 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80904160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -9, -20, 5 in increasing order.\nAnswer: -202, -20, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 37 = -19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 944 and 5168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 + 5*x**2 + 3*x + 3. Let y(g) be the first derivative of -3*g**4\/2 + 16*g**3\/3 + 5*g**2 + 10*g - 1598. Determine 10*a(m) - 3*y(m).\nAnswer: -2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 48.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5974, 5975, 5976, 5977?\n\"Answer: f + 5973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14605, 16793, 18981, 21169, 23357, 25545?\n\"Answer: 2188*o + 12417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 12*h + 3. Let t(a) = a**3 - 2*a**2 - 3*a - 1. Let q be t(-2). Let j be z(q). Suppose j = 3*i - i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 2}. Give prob of picking 1 k and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b**4 + 14 - 12 + 11*b**4 - 8*b**3 + 2*b as s*b**4 + o*b**3 + v + t*b**2 + k*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 1156*h + 1935*h + 5280 - 76438 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2753971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-2 + 9 - 18)) + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 20022112111?\nAnswer: -20022112103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -36*q**3 + 4*q + 5. Let h(p) be the first derivative of p**2 + 12*p + 2. Let u be h(-8). Is x(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 + 3. Suppose 3*a + 18 = 3*f, 3*f + 3*a - 5*a = 14. Let b(q) = q**3 + 10 + 16*q**3 - 4*q**3 + q**2. Determine f*b(z) - 7*o(z).\nAnswer: -2*z**3 + 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 9*p + 7. Let j be h(-8). Calculate the greatest common divisor of j and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.0491 decades in years?\nAnswer: 5230.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0525620248 to 6 dps.\nAnswer: -0.052562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*((90\/(-4))\/(-15) + -2). Put -2, 2, j, 3, 7 in decreasing order.\nAnswer: 7, 3, 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224954*g**4 + 284637*g**2 + 2.\nAnswer: 5398896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -3*k - 1\/4*k**4 - 4*k**2 + 4 + 8\/3*k**3. What is l(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-68)\/(-70)) + 264\/462.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t - 4. Let l(y) = 2*y - 2. Let g = -21 + 17. Let p(v) = g*u(v) + 9*l(v). Determine p(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/2 + 3021*j**2 + 368739*j\/2.\nAnswer: 3*j*(j + 63)*(j + 1951)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 - 14*k**3 - 60*k**2 - 72*k = 0. Calculate k.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2946\/(-5425) - (-280)\/490. Let m = -91291\/21700 + d. Find the common denominator of 33\/70 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318427 - 66427. Round m to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 2222616?\nAnswer: 15558312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1788 + 1778.97. What is r rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*p + 53.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -5. Suppose -3*r + 5 = 5*o, 3*r - 2*r - 9 = g*o. Solve -4*x + x - 25 = 2*t, 4*x - 3*t = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + h - 1. Let p(c) = -3*c**3 + 6*c**2 + 2*c + 9. Let t(f) = -4*j(f) - p(f). Give t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = m + 8*w - 7*w, -30 = -5*m + 5*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.523 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6538955 + -11?\nAnswer: 6538944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -11. What is the lowest common multiple of l and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by -68.\nAnswer: 41\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*f**2 + 580 - 580 + (0*f**2 + f**2 - 3*f**2)*(-3 - 2 + 4) - 3*f**2 + 0*f**2 + 2*f**2 - 1 to the form l*f + q*f**2 + d and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0476 - 44.1524. Let h = u + 43.6. What is the nearest to -0.1 in h, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.4 - 0.6. Let i = k + 9.9. Which is the second smallest value? (a) i (b) -0.4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*l**2 - 85*l**2 + 56*l**2.\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/37 and (-2)\/(-15)*22305\/(-3030)*-6 - 6.\nAnswer: 18685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90832 less than 90828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence effe when four letters picked without replacement from {e: 3, f: 8}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 15 = 0. Suppose d*s - s = 2368. Suppose -3*u + s + 65 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/84 and 97\/79086.\nAnswer: 158172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkca when four letters picked without replacement from wbkbacaaaa.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4320 or -1239754\/287?\nAnswer: -4320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39481470 by 272286.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83276)\/(-327) + -141 - 1*(-3)\/9?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -246049*(8 + -6)*7\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*f - 1435 - 4647, 4*z = 3*f - 9109. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 + 4 = 0. Let m be 9 + -1 - (f + 1). Suppose -35 = -7*y + m*y. What is the highest common divisor of 385 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3299, -6597, -9895, -13193, -16491?\n\"Answer: -3298*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(187)*-2)\/(sqrt(220)\/sqrt(5)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 222946740.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:03 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9985 - 9980. What is the highest common factor of w and 7435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2. Let u = 2 + -2. Suppose -m - 12 = 3*m - 4*d, u = -5*m - 4*d + 30. Let v(h) = 4*h**m - 4*h**2 + h**2. What is v(k(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 14, 27, 56, 107?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let i be z(2). Let y(h) = -3*h - 2. Let m(n) = 10*n + 6. What is i*m(w) - 7*y(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/14618901 and -13\/199791647?\nAnswer: 599374941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248563*q**2 - 83023*q**2 - 83020*q**2 - 82521*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -7*h**4\/24 + h**3\/6 - 9*h**2. Let i be r(-10). Let d = i - 32. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9933*o - 39869. What is b(-4)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*i = 393*i + 3336 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1\/3, 12 in decreasing order.\nAnswer: 12, 1\/3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y. Let g = y - -1. Let k = 20 + -19.9. Which is the closest to g? (a) 0.2 (b) k (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 494*s + 488*s - 1478*s + 497*s.\nAnswer: s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*l + 122*l + 6 - 2.\nAnswer: -464*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298644, 598918, 899188, 1199454, 1499716?\nAnswer: 1799974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence worr when four letters picked without replacement from {k: 1, w: 1, o: 1, h: 1, s: 1, r: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2109037\/6 or -351506?\nAnswer: -2109037\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 716*x**2 + 4. Let y be l(9). Suppose 0 = -3*h + h + y. Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 241, 360, 479?\n\"Answer: 119*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Suppose -3*v = -c*h - h + 33, 3*h = 2*v + 34. Let l = h + 20. Solve -25 = -4*j - 5*x, 9 = -4*j - 3*x + l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2202962, -2202962, -2202960, -2202956, -2202950, -2202942, -2202932?\n\"Answer: f**2 - 3*f - 2202960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212169, -849302, -1911405, -3398478, -5310521, -7647534?\nAnswer: -10409517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = 5*x - 37, 20 = 4*x. Let l be ((-5)\/15)\/((-7)\/189). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74039447 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80050.252 rounded to the nearest 10?\nAnswer: 80050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 84. Let m(r) = -15*r + 3. Is 3 a factor of m(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -350*p**2 - 375*p**2 + 758*p**2. Let f(t) = 89*t. Calculate q(f(a)).\nAnswer: 261393*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846 <= 4842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14527 - 8332. List the prime factors of d.\nAnswer: 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-1)*(9 + 148\/(-16)). Solve -o - 4 = t - l, 5*t - 2*o + 24 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/717, -841.9, -4, -3, -0.1 in decreasing order.\nAnswer: -2\/717, -0.1, -3, -4, -841.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -2077.866?\nAnswer: -6233.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288 divided by -24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*g = 0, 25 = -3*t - 0*g + 4*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 4. Suppose 15 = -5*h - 0. Let f(z) = 2*z**3 - 3. Give h*q(t) + 4*f(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*v**3*y**3 + 2*v**3*y + 83*v**3 + 226*v*y**3 - v*y - 2*y wrt y.\nAnswer: 72*v**3*y + 1356*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10955032.\nAnswer: 2, 11, 124489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583965 is divided by 462?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 1:46 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 2*o + 1326 = 14*n, -4*n - 4*o = -1332. Let x = 341 + -336. Calculate the remainder when n is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 520190 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 5*r**2 - 3 + 4 - 3 + 3*r**2. Is i(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5664\/162211?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*n + 658*n - 330*n + 9*n**3 + 6*n**2.\nAnswer: 9*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(52) - (sqrt(832))**2).\nAnswer: -3328 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 3037308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.3286 + 0.4.\nAnswer: -14.9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laarlai. What is prob of sequence ra?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u + 1. Let f(b) = 0 + 0 + 5 + 6*b**2 - 5*b. Let n = 105 - 90. Suppose -z = -4*v - n, -10*z - v = -6*z + 25. Give z*i(h) + f(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -259*j. Let k(y) = -195*y**2 - 201*y**2 + 590*y**2 - 199*y**2. Determine k(n(f)).\nAnswer: -335405*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201100 + -102230?\nAnswer: 32210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 2088000?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/8)\/(9\/(-60)). Let r = 2 - x. Calculate the highest common factor of r and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/48 and 89\/20880.\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 4, 43, 100, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -354, -353?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Find u, given that u - 2*u + m*u - 4*u**3 + 2*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*u**4\/4 + 243222*u**3 + 584798400*u**2 + 470396160000*u + 3068928000000 = 0. What is u?\nAnswer: -2400, -296\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) - (sqrt(76)*1 + sqrt(76) - sqrt(76)) - sqrt(76)) + sqrt(76)*2*1)\/(sqrt(36)\/(sqrt(63)\/sqrt(63))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-31 - -14) + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1657.856 to 0 decimal places.\nAnswer: -1658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 9*x + 10. Let p be d(7). Let k be (-23)\/(-4) - 1\/p. Suppose 1 = -t + 2*a, -5*t - 7 = -2*a + k. Sort t, -2, -5 in descending order.\nAnswer: -2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1410924*t**5 - 1010291*t?\nAnswer: 28218480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.4, 0, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460502129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {a: 9, r: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2 + h + 6 + h**2 + h + h**2. Let u(w) = -2*w**2 + 223*w - 642. Let v be u(3). Let f(s) = 2*s**3 + 5*s**2 + 4*s + 9. Give v*x(k) - 4*f(k).\nAnswer: k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 16*a + 19 = 0, -17 = -3*q + 13*a - 9*a for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2970953912 to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17556282*t**6 - 7487481*t**2?\nAnswer: -2106753840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p = -3*r - 14, p - 2 = -r. Suppose -2*x = 5*h - 2, p*x - 14 = -2*h - 3*h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53602 is divided by 25928.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 < 221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56532 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 23 = 35. Suppose -11 = -3*m + 1. Suppose -52 = -2*u - m*q, -2*q - 14 = 5*u - 120. What is the remainder when o is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -18 in descending order.\nAnswer: 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 18752426*v**2. Let s(i) = -i. Determine p(s(r)).\nAnswer: 18752426*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*k = 4, 4*n - 2*n = 2*k - 16. Is 1 + 2\/n*-1412 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 88.7. Sort -5, 0.18, r, 0.4 in decreasing order.\nAnswer: 0.4, 0.18, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(0 + sqrt(891)) + 6*((-2 + sqrt(891) - sqrt(891)) + sqrt(891)) + 3)*3*2)**2 + 5.\nAnswer: -23328*sqrt(11) + 516137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - 1 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -19 (b) -3\/8 (c) -1266 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -18. Let y = -3 - s. Suppose 9*v = y*v. Solve v*d - 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 equal to -144\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 103, 81, 33, -47, -165, -327, -539, -807?\n\"Answer: -q**3 - 7*q**2 + 6*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 3347\/10 and 335 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7756 = 9*f - 7103. Is f a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2452*n - 371079. What is y(143)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -474?\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -863*y + 12195. Give d(14).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -31*q**2 - 1024*q - 24. Let i be z(-33). Let w be (-4)\/(-10) + 6\/(-15). Solve w = -i*k + 7 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5079587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1680\/50)\/(-3) - -9)*-1.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2911 divided by -50\nAnswer: -2911\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102318 rounded to the nearest ten thousand?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i, -4*p + 8*i = 6*i + 10. Let v be ((-41274)\/3441)\/(-3) + -4. Which is greater: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 - 2*v**2 + 1602*v - 7937. Give c(5).\nAnswer: -1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476095 to the power of 1\/2, to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -4\/7 (c) -0.07 (d) -2.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.862656um to kilometers.\nAnswer: 0.000000003862656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**6\/60 - y**5\/30 - 4*y**3\/3 + 3. Let p(f) be the third derivative of t(f). Factor p(q).\nAnswer: 2*q*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202 or -50?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1830340*z - 4. Let x be o(-3). Suppose 3*w = 2*f - x, 12 = -w + 4*w. Suppose 5*d + 4486 = -f. Round d to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*l - 62, 2*f = l + 2*l - 94. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28956\/2833 or -9?\nAnswer: -28956\/2833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n**2 - 2*n + 1. Suppose 6 = 5*z - 14. Suppose 0 = -i - z*i - a + 6, 3*i + 2 = 5*a. Let p be y(i). Is 7 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 30\/5 - (1 + -35). Suppose 4*r = -3*q + 56, 4*q - 2*q + 4*r - m = 0. Calculate the remainder when 68 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2886598*f + 5773161*f - 2886570*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1257\/11900 - (-282)\/(-2961) and -157\/90.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -112, 1\/2, 5, 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2207.990302 + -2208. What is v rounded to four decimal places?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -51\/10 in -6, -9\/2, 1\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r = l + 35*r - 6139, 16 = 4*r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96301?\nAnswer: 23, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 47, 28, -3, -46?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31554151 (base 8) to base 6.\nAnswer: -400244013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 94. Let x = -243 - -245. Calculate the smallest common multiple of f and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 7*x**2 + 2*x**3 - 3*x**3 + 14 + x**2 - x. Let g be u(10). Solve -v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 57*n**3 - 50 - 47 + 8*n**3.\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21762 by -7254.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/675)\/(2\/(-15)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-27102)\/4)\/((-39)\/416). Let t = w - 158429. Is 2\/(-17) + t\/(-153) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 760 (c) 0.1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 31. Suppose -l*s + s + 2176 = 0. Let d = s + -105. What are the prime factors of d?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb3 - 1?\nAnswer: -cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 8372*u**2 - 3002624*u + 1542041600.\nAnswer: -4*(u - 275)*(u + 1184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1727216 divided by 478.\nAnswer: -863608\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 34*h - 98. Determine q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26759044820 - 30*g + 26759044820.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27782 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 8*x - 36. Let p be f(-11). Calculate the highest common divisor of 833 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303605582 to the power of 1\/2, to the nearest integer?\nAnswer: 17424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/90 + 13*f**5\/15 - 169*f**4\/6 - 4*f**3\/3 + 65*f**2. Let m(c) be the first derivative of w(c). Factor m(a).\nAnswer: -4*(a - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -14. Let l(z) = 2*z**2 - 4. Let g = 24 - 22. Let t(o) = -2 + 135*o**2 + 3 - 3 - 134*o**g. Determine y*l(u) + 13*t(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3574846 is divided by 1376?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*o - 15580*o = -273528 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30850141 by 6.\nAnswer: 30850141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10)\/((-47)\/8460 + 2\/(-45)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Find the common denominator of -97\/2 and (p\/16)\/((-3)\/(-202)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:45 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 18*x**2 + 6. Let r be h(-3). Suppose -r = -b + 124. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1012209, 1012218, 1012243, 1012290, 1012365, 1012474, 1012623?\n\"Answer: z**3 + 2*z**2 - 4*z + 1012210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d = 78*d. Suppose d = -33*y + 14*y + 1330. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -699 and -922 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -138638 and -693183\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.98 plus -173?\nAnswer: 166.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6589204 + -0.67892. Let b = 0.02 - 0.04. Let z = a - b. Round z to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -20, m + 6*d - 8*d = 3 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 56*r + 188. Let l(w) = 2*w**2 + 18*w + 59. Let y(x) = -19*l(x) + 6*u(x). Determine y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20079 * 195\nAnswer: 3915405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -68, -93, -120, -149, -180, -213?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*q + 1086, 3*q - 1094 = -q - d. What are the prime factors of q?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 107. Let i be 210\/h - (0 + -5). Let r(q) = -q**2 - 4*q - 18. Let b be r(i). Which is greater: b or -64?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.8 + 13.687. Let j = -162.887 + r. Let a = j - -163.000113. Round a to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 2*v - 1. Let a be y(3). Let m be 1096\/(-4)*2*1\/a. List the prime factors of (m\/(-2))\/(2\/(-4)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -1.2. Let g = 3.6 - 13.6. Let n = 10 + g. What is the closest to n in 0, 3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149667 is divided by 1669.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u. Let h(y) be the second derivative of -55*y**3\/6 - 2*y + 55. Let m(l) = l**3 - 3*l**2 + 2*l + 45. Let p be m(0). Determine p*k(j) + 4*h(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/1531 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -226.\nAnswer: -9.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*c - 1428 = 180*c - 462*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-3)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810044177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(-4*j - 3*j + 5*j) + (331*j - 3316 + 3316)*(5 - 16 - 5).\nAnswer: -5300*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d + 2*z, -d = -3*z - 0*z + 8. Let c = d + 2. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o - 1. Suppose 100 = 3*h - 7*h. Let k = h + 25. Suppose -2 + 5 = -v, k = m + v. What is f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -730*n**3 - 14*n + 60. Let s(m) = 243*m**3 + 5*m - 20. Let u(r) = -6*p(r) - 17*s(r). Find the second derivative of u(i) wrt i.\nAnswer: 1494*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2014 and 29\/76866.\nAnswer: 77404062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -135*(6\/(-2) - 1048\/24)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211\/35 - 45\/7. Let p = -1054 - -1057. Which is the closest to g? (a) p (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by 3.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 9*a + 15 - 8*a + 5*a - 4*a + (0 + 3 - 2)*(a - 1 + 1).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1766735 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/7 - 367*u**3\/7 + 35079*u**2\/7 - 69053*u\/7 + 4906 = 0.\nAnswer: -446, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 (base 7) in base 15?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 8*n**2 + 9*n + 9. Let x be (2 - 24\/10) + (-35734)\/(-85). Let f = 414 - x. Determine h(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065158 rounded to seven decimal places?\nAnswer: -0.0000652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*t + 148599 = 0, -2*y - t + 99061 = 2*t. What are the prime factors of y?\nAnswer: 2, 17, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71432 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -89208611*d**2. Let u(y) = 3*y. Give u(n(z)).\nAnswer: -267625833*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*n - 4*o, 2*o + 18 = -4*n. Sort 2, n, 4 in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12840117023\/1793 - -7161248. Let j = k - -1\/163. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.2122ng?\nAnswer: 0.0000000000000062122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 34 = 2*y. Let n = y + 14. Suppose -t - 5 = 0, 4*t + 8 = n*f - 68. Calculate the remainder when 82 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1538\/180 - (-2)\/(-20)) - -6\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2. Let m be o(1). What is the second derivative of 3*d**3 + 3*d - 3*d**3 + m*d**3 - d wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 + 6*y + 3*y**2 + y - 6*y as o*y**2 + q*y**3 + u*y + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (0 - -2 - 4) - (-58458 - -58464).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -193245, 4\/3, 0.03, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 2. Let c be z(-2). Suppose -c*o - o + 160 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 3. Let t be z(-5). Suppose 4*s - t*o = 10, -4*s + 14 - 1 = o. Suppose 1125*q = 1956 + 5919. Solve -4*l = q - s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2318618 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20545.\nAnswer: 5, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*((-323)\/38)\/((-5)\/10). Solve -g = -16*u - u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308901.\nAnswer: 3, 102967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + sqrt(272))*1*-2)**2.\nAnswer: -64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let b(n) be the third derivative of 127*n**8\/10080 - 83*n**5\/20 + 56*n**2. Let f(y) be the third derivative of b(y). Determine f(g(z)).\nAnswer: 1016*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:39 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 - -a7?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -84*y + 756. Let i be m(9). Let s = -1109 + 23293\/21. Let a = 1\/7 + s. Is i less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108.9 - -109. What is the second smallest value in -1\/7, b, -2\/7, -8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)*(-4 + 3). Let w = 3 - k. Let s(r) = -6 + w*r - 4*r + 0. What is s(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0a9a0 - -4?\nAnswer: -b0a998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 794, 1788, 3170, 4934, 7074, 9584, 12458?\n\"Answer: -l**3 + 203*l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -4*k**2 + 17\/3*k**3 - 8\/15*k**6 + 0 + 1\/21*k**7 + 11\/5*k**5 - 14\/3*k**4 - 19*k. Let b(o) = 0. Calculate o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - 613\/3. What are the prime factors of g\/(-6) + 5\/(-30)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Suppose r = p + 1 - 27. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + (2 - 13 - -48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 23 = 3*v - 4*v, 4*v + 4*i = -28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 78. Let n = -108 + 221. Suppose 5*i = 2*i - s + n, 3*s = i - 51. What is the highest common divisor of i and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - s - 173, 2*r + 27*s - 80 = 22*s. Which is smaller: 25 or r?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659021, -1317961, -1976901, -2635841?\nAnswer: -3294781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*k**2 - 73*k**2 - 61*k**2 + 466*k**2 - 59*k**2 - 98*k**2 - 50*k**2 - 67*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = -4*a + 2*t, 3*a - 3*t - 21 = 0. Suppose 2*z - 3*z + 293 = 0. Suppose a*b - 6756 = z. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - j + 15. Let d(w) = w**3 + w**2 + w + 1. Give -2*d(s) - 2*z(s).\nAnswer: -2*s**3 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.0224006 milliseconds?\nAnswer: 0.0000000465555625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*t + 4*t = 115, 4*r + 4*t = 88. Calculate the remainder when 45 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let x(r) = -917*r - 1. What is x(n) - 4*y(n)?\nAnswer: -921*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4115455117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (51 - 32 - 19 - 1084*w**2)*(0*w + 0*w - 5*w**2) as b*w**3 + g + x*w**4 + a*w**2 + y*w and give x.\nAnswer: 5420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 805739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710421*h**2 - 17605*h + 12.\nAnswer: 1420842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18360)\/(-18))\/20)\/((-37)\/(-37)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335206 = -7178*a - 655358 for a.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + -5 + -2)\/((-3)\/(-5)). Suppose -m*q + 2*h = -336, 12*q - 13*q - 3*h + 74 = 0. What is the highest common factor of 51 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65\/(2015\/(-372)) - 5*-2. What is the biggest value in 16.72, j, -1?\nAnswer: 16.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i - 42 = 0. Suppose 807 = i*r - 313. 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: Calculate the remainder when 3095671 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -50871.\nAnswer: 2696163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 4*n - 15. Let r be t(-3). Suppose 0 = 28*l - 25*l - r. Suppose 0 = z + i - 7, -2*i = -z + l*z - 22. Solve -z*k + 12 = -0*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137.4 - 140. Sort 6, -1\/6, d in ascending order.\nAnswer: d, -1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5)\/((81\/729)\/(10\/12))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 7*m + 9. Let f be q(6). Suppose -5*b + f*b = -14. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhsshsssshss. Give prob of sequence shh.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 301449553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17156.55 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71801718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69256 and 79014800.\nAnswer: 869162800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1177*b - 43567. Calculate j(37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 11*l - 3, -3*l + 217 = r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -822 divided by -1.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-14)\/(-21)*(-165)\/66.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 349 - 399 = 11*b for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 19 = -5*m, -11 = -3*m - 2*m + 4*r. Suppose 5*b - 5*v - 8 = 7, -3*v + 15 = b. Solve 0*j + m*j + b = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 greater than or equal to 179871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 57 - 20) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001 (base 2) to base 5.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (88 - (20 - -54))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 9.7. Let h = -0.2 + 0.2. What is the nearest to h in -0.2, 2\/3, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-13\/2)*s**(-2\/37))\/((((s*s**(-7))\/s)\/s)\/(s**(-5)\/s)) assuming s is positive.\nAnswer: s**(-263\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a - 2. Suppose -2*m + d + 27 = 0, 0 = -2*m - 3*m - 2*d + 45. Let r = m - 17. Is g(r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 329.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 5 + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 - -5?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 1, c: 4, r: 1, g: 2}. What is prob of picking 1 c, 1 r, and 2 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p**3 + 308*p**2 + 980*p - 3000 = 0. What is p?\nAnswer: -25\/6, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -423, -644, -871, -1104, -1343, -1588?\nAnswer: -1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 14 + 2 + 3*l + 9*l.\nAnswer: 12*l - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 160527 and 3?\nAnswer: 160524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)\/z)**(-5\/2))**(-21)*(z**0*z*z*z\/z**10*z)**(7\/3) assuming z is positive.\nAnswer: z**(-343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60c268 (base 14) to base 13.\nAnswer: -8a2008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -8. Let o = b + -9. Suppose -24 = -o*d - 3*d. Solve -2*x = 2*x + d, x + 3 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v + 22. Let t = 68 + -73. Let j be g(t). Let a(r) = 1 + 0 - 2*r - 3*r - j*r. Let l(z) = 6*z - 1. What is -5*a(x) - 6*l(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/8))**8 assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 30 = -3*a, 58*a - 5*i = 53*a - 15 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1466455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -0.29, -0.2, -1.3 in descending order.\nAnswer: -0.2, -0.29, -1, -1.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 9537 - 23613 = 0. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.149 - 0.049. Let b = k + -11. Let o = 151\/252 - 1\/36. Put -3, o, b in descending order.\nAnswer: o, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 78?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/59905299?\nAnswer: -1\/59905299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 3*f + 7*f - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/163954 and 17\/686.\nAnswer: 163954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -27*z + 4. Suppose -6*a - z = -7. Solve 3*x - a = -13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**2 - y**2 + (0*y - 4*y + 5*y)*(2*y**2 + 2*y**2 - 3*y**2) + 3*y**2 + 2*y**3 - 3*y**2 + 2*y + 2*y**3 - 2*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.1029. What is i rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u**2 - 273*u + 236. Determine x(-24).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -131341? (a) -1\/3 (b) 1\/2 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -54.\nAnswer: 7\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.9 + -6.1. Let p = i + 26.9. Let u = p - -4.2. Is u < -0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 380\/(-1311) + 1\/3. Put 1, f, 0.1 in decreasing order.\nAnswer: 1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 7*h**2 + 5*h - 2. Let p be o(-6). Is -3 + 42*p\/3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1096 and 548?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -220.2 - 24.8. Let a = o + 249. What is the second smallest value in 38, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000741294907 to 5 dps.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 3, 3, 1, -3, -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.93 in 2\/3, 1.7, -5\/6, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -10*g - 32. Let w be 239\/g + 34\/136. Calculate the highest common divisor of 24 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463796573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/(-90)*(-1 + 12) + 5 and 103\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y - 61825 + 30903 + 30910.\nAnswer: 88*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2.7, 531\/193 in descending order.\nAnswer: 531\/193, 3\/2, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 14*w**2 - 30*w + 4. Let z be (-3 - -1)\/(1*3\/(-24)). Let j be a(z). Let h = -67 - -104. Is j at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3003212 (base 6) to base 5.\nAnswer: -14000241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3715 is divided by 150.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 294608485 a multiple of 888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(sqrt(605) + sqrt(605) + 0) - (1 + sqrt(605))*1) + (sqrt(605) + -2*sqrt(605))*5 + 5)**2*6.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a - 10. Suppose -2*x - 11 = -5*v + 9, 20 = 5*x + 5*v. Factor 5*g**2 + x - 4*g**a - 1.\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -11) + (-49 + 28 - (-1 + -13))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 4) + -9 + -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1052 is divided by 264?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-18) + -1 + (16 - (-35948)\/(-684))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 - 2*a - 21. Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112269 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(84\/32) - (4 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4816, 9041, 13276, 17527, 21800, 26101, 30436, 34811?\n\"Answer: x**3 - x**2 + 4221*x + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let z(m) = 7*m - 15. Let l(x) = -12*x + 28. Let y(j) = -6*l(j) - 11*z(j). Let g(t) = n(t) - y(t). Let r be (-22)\/10 + (-3)\/(-15). Give g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/((-12)\/(-600)). Are 126 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.12 - 0.12. Let b = c + -10. What is the third smallest value in -1, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(1 + -462) - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263004 - 147636. Suppose 3*i + 775368 - q = 0. What is i rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 351*y - 3831. Let k be a(11). Solve -126*f + k = -136*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001743 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 25*r**2 + 25*r - 20. Let l(c) = 1. Let w(b) = -k(b) + 6*l(b). Let q be 1\/(-2 - (-188)\/96). Is w(q) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f**3 - 11*f**3 + 14*f - 14*f.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -6)*-1 - (-66)\/11. Put -6, z, 2 in decreasing order.\nAnswer: z, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l - 14*l**2 + 10 + 26*l**2 - 13*l**2. Determine m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*t - 84, 2*t + 90 = 10*p - 5*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Suppose g - 2 = 10. Suppose f + g = a*f. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 495.45626+21\nAnswer: 516.45626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 95025.54825 to the nearest one thousand.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4043, 3853, 3315, 2255, 499?\nAnswer: -2127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/(-24) + 1 - -1. Let g(i) be the first derivative of -2 - k*i**4 + 1\/3*i**2 + 2\/9*i**3 - 2\/3*i. Let g(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 16 = -9*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a + 2. Let k(s) = -4747*s**3 - 94*s + 188. What is -94*h(m) + k(m)?\nAnswer: -4841*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105446914.\nAnswer: 2, 52723457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -9*t - k - 11, -3*t - 4*k = -32. Solve t*f - f - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 108 and 0.104?\nAnswer: 107.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 570556*0.5\nAnswer: 285278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 26. Let t be h(6). What is the highest common factor of 40 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*z = 308*z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x = 21. Suppose 2*f + n + 21 = -3*f, f - x = -3*n. Sort f, 1, -3 in ascending order.\nAnswer: f, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1689, -0.5, -36, -5 in increasing order.\nAnswer: -1689, -36, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 4, -4*f = -u + 9. Suppose 6*j + u = 3*o + j, -5*o + 3*j + 43 = 0. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1026, -880, -734?\n\"Answer: 146*r - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8584 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -867770, -1735539, -2603308, -3471077, -4338846, -5206615?\n\"Answer: -867769*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + 5. Let v be b(3). Let j = v - -33. Find the second derivative of 65*m**4 - 41*m**5 - 65*m**4 - j*m + 42*m wrt m.\nAnswer: -820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 10 + 26)*(3*o - o - 3*o)*(4 - 5 - 1).\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 69*d - 89. Give f(-19).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*c**4 + 21*c**4 - 76*c**4 + (-c**2 + 0*c**2 + 0*c**2)*(-c**2 + 14*c**2 + 6*c**2).\nAnswer: -111*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -74\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 1562932*v**2 + 152662117724*v + 1984871674708.\nAnswer: 4*(v - 195373)**2*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 + -69. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*l - 4*l, -4*l + 38 = 2*y. Suppose -2*g + 3*g - y = 0. Let s = -5 + g. Solve -s*n + n - 2*m + 2 = 0, 2*n - 2 = -2*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4538*j - 2*b = -4532*j - 16, -4*j = b - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Suppose -125 = -442*p + 243 + 74. Let q(k) = -3. Let v(f) = 1. Let x(o) = 2*q(o) + 5*v(o). Let i be (-4 - 0) + 8\/4. Give i*x(a) + p*w(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 13*c**2 + 13*c + 18. Give j(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4057152 divided by -169048\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3472 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2918, -11670, -26252, -46664?\nAnswer: -72906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 38. Let b(c) = 3*c - 19. What are the prime factors of b(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.3 (b) 4\/3 (c) -2\/7 (d) -1334434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 188668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 15. Let f be z(-14). Let c be (3 + -189)*(f + (-2 - -1)). Suppose -6*s + 4*s = -c. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36350231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -134827.\nAnswer: -1\/134827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(486)*2)\/(sqrt(12)*-3) + 0)**2.\nAnswer: 361\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-49985.\nAnswer: 4998.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o)*(-o**2 - o + o + (o - o - 2*o)*(2*o - o + 0*o) - o**2 - 3*o + 3*o + 4*o**2 - 4*o**2 - 4*o**2 - 6*o**2 + 5*o**2 + 2*o**2).\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1289 + -486. Suppose -5*a - 3*q = -1007, 3*q - i = -4*a - 2*q. List the prime factors of a.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*s - 88*s + 20690*s**2 - 20690*s**2 - s**3 in the form b*s**2 + v*s + i + p*s**3 and give v.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -64. Let t = -273 - -268. Let m = 5.94 - 6. What is the closest to z in m, t, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758*v + 767*v - 1161 = 0. What is the remainder when v is divided by 58?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(22)*5)\/((sqrt(24)\/sqrt(2))\/sqrt(6)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21140*x**3 + 21166*x**3 - 11*x**2 + 11*x**2.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 divided by -189?\nAnswer: 193\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(790*k**4 - 4261140*k**2 + 2 + 4261140*k**2).\nAnswer: 1580*k**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 976?\nAnswer: 1\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 32. Let n be p(6). Suppose 7*s = n*s + 5245. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (168\/126)\/(((-60)\/(-9))\/2). Factor -s*j**2 - 4\/5*j + 0 + 16\/5*j**3 - 2*j**4.\nAnswer: -2*j*(j - 1)**2*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641 is divided by 1630.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 6\/7, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-837)\/(-270) + -8 + 5\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30824, 30876, 30928?\n\"Answer: 52*m + 30772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 6, r: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-36))\/((-5)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**40))\/(b**(-11\/6)\/b))\/(((b**(2\/107)\/b)\/b)\/b*b*b*(b\/b**(-3))\/b*b) assuming b is positive.\nAnswer: b**(-25799\/642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by 14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -41. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.5 - 10.9. Which is the smallest value? (a) -0.3 (b) -4 (c) -1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {s: 5, u: 7, y: 6, r: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5\/8*r + 1\/8*r**2 + 0 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 + 13*q**3\/3 - 4*q**2 - 2*q + 23. What is the tens digit of u(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20431 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 + 2*b + 1. Let p = 11 + -7. What is the tens digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 >= 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 4*j + 2*j + 2*j. Let z(b) = 45*b**2. Give x(z(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*sqrt(3)*1 - sqrt(3))**2*-6.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 + 296*x**3\/7 - 226*x**2 + 220*x\/7 = 0.\nAnswer: 0, 1\/7, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 0*o**3 + 0*o**3)*(0*o + 2*o**2 + 0*o + (-o**2 - 4*o**2 + 3*o**2)*(0 + 0 - 1) + o**2 + 3*o - 3*o - 6*o**2 + 0*o**2 + 4*o**2).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 78 = -12. Suppose -5*d + 720 = y*f, 0 = -4*d - 2*f + 236 + 336. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5099.015 + 5088. Let t = 4 - -7. Let c = a + t. What is c rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*o - 16, -2*i - 2*o + 3*o + 1 = 0. Suppose -i*q = 4 - 1. Let n(p) be the third derivative of -7*p**4\/24 - p**3\/6 + p**2. Give n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247261 is divided by 8830.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**3 - 4985*a**2 - 231750*a + 483480 = 0.\nAnswer: -948, -51, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 2, -0.4, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 4*x + 1. Let p(w) = w**2 - 7*w - 4. Let o be p(7). Let n be r(o). Let c be n + 3\/4*4. Solve s + c*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-198 + 485 + 483 - 108)*(-4*g**4 - 2*g**4 + 4*g**4) in the form k*g**2 + l*g**3 + w + a*g**4 + q*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -618605*y**3 + y**2 - y**2 + 618609*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 19575, 4, 2\/19, 1\/4, 7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -12. Let p = -16.233 - -0.033. Let c = p - -16. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4\/21 - 186*n**3\/7 - 55618*n**2\/21 - 95516*n\/7 + 7488 = 0. What is n?\nAnswer: -63, -6, 1\/2, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**4 + 1\/180*p**6 + 0*p + 0*p**3 - 1\/90*p**5 + 0 + 4*p**2. Factor d(k).\nAnswer: 2*k**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.068 and -2.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbbb when four letters picked without replacement from {b: 3, c: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1377))**2 + 0 - sqrt(1377) - -5*1*sqrt(1377).\nAnswer: 36*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79249 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10165 + -10578.9. What is c rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 13, 54, 133, 262, 453?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, -1\/24, -5, 0.2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 2. Let t be 2\/d - (-208)\/39. Let p be 2\/15 - t\/(-25). Which is the second biggest value? (a) 1 (b) 0.05 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 2001928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -533\nAnswer: -319.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = a + 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/((-24)\/600).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 190, 787, 1782, 3175, 4966, 7155, 9742?\n\"Answer: 199*d**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 26 = 6*w - 3*h + 5*h, -5*w + 46 + 94 = -13*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2716 and 8?\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - v - 2. Let h be q(2). Let c = 13 - h. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1483558 and -41\/133.\nAnswer: 10384906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -68. Let k = w - 27. Solve -2*m - 3*t - k = 0, 5*t + 24 = 2*m - 0*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4731190 and 1998.\nAnswer: 127742130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 216, 9.2, 0.1, -938.9 in ascending order.\nAnswer: -938.9, 0.1, 9.2, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 - 2*t + 8. Let k(f) = 15*f**2 - 5*f + 16. Let u = 26188 + -26193. Give u*q(j) + 2*k(j).\nAnswer: -5*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 27*q + 1. Let o be m(1). Let p be (o\/((-6)\/3))\/(-1). Find the common denominator of (-165)\/(-126) - (-4)\/p and 59\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24951944 and 20.\nAnswer: 124759720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away -46251?\nAnswer: 46218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -48*i + 484. Let t be l(10). Solve 6*j + t = 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c + 1. Let m(i) = -6*i**2 + 12*i + 2. Let l(g) = m(g) + 4*u(g). Does 24 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**2 - 7*t**2 - 47*t**3 - 30*t**3 + 88*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/9 + -7\/18. Let s be 32\/63 + (-4)\/14. Let w be ((-2)\/(-12))\/((-1)\/2). Which is the nearest to w? (a) -0.2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351675449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13386, 4, -1, -22 in descending order.\nAnswer: 13386, 4, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/2 + 30)\/2. Let l = s - 10. What is the derivative of -14*d + 2 - l + 20*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.0802nm to meters.\nAnswer: 0.0000004950802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 16*s - 23. Give z(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1\/3, 3\/8, 0.6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 5\/274, 0, -4074\/11?\nAnswer: 5\/274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(14\/11)\/((t**(1\/9)\/t*t)\/t*t**(-4)*t) assuming t is positive.\nAnswer: t**(-245\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 18*z**2 + z + 18. Determine p(18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16202 + 16197. What is the closest to 0.1 in 2\/3, l, -2, -4\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447064 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -251, -612, -1147, -1874, -2811, -3976?\n\"Answer: -3*v**3 - 60*v**2 - 4*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d + 24 = -95*d. Let j(m) be the first derivative of m**2\/2 + 11*m + 3. Let a be j(-9). Solve -d + a = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 >= 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7171195912.\nAnswer: 2, 896399489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*s = 13*s - 106. Put s, -3, 10, 5 in decreasing order.\nAnswer: 10, 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186027837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**2 + 9*f - 14. Let q(j) = -6*j**2 + 9*j - 16. What is 5*c(b) - 4*q(b)?\nAnswer: -b**2 + 9*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -280940, -278407, -275874, -273341, -270808?\n\"Answer: 2533*q - 283473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9*n**3 + 15*n**2 + 64*n - 96. Is c(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.3 - -353.\nAnswer: 360.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545348 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151859856593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2832847 and 48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.85187 to the nearest integer.\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 1\/2 (c) -46 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 5*l - 2. Let q(p) = -3*p**2 + 15*p - 6. What is 7*o(k) - 2*q(k)?\nAnswer: -k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 6. Suppose 4*w - g*f = 32, -2*f = 4*w - 5*w + 13. Factor -3*i**3 - i**w + 0*i**3 - 2*i**4 + 2*i**3.\nAnswer: -i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 4 = 62. Let u be z\/(((-12)\/18)\/(3\/(-27))). What is the closest to u in -3, 1\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 - o + 6. Suppose -212 = -2*d - 212. Let v be j(d). Solve v*r = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*k - 6 = 0, -x + 18 = -0*x - 5*k. Which is the third smallest value? (a) -13 (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17290 and 17752840.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 31*b - 57. Let j be m(20). Suppose 21*t = 257 + j. What is the least common multiple of t and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 281786853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -96, -1, -3\/7 in decreasing order.\nAnswer: 2, 0.3, -3\/7, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) + ((-209)\/133)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -18, -143, -5, -89 in increasing order.\nAnswer: -143, -89, -18, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.199 - -150.801. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113851799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -60, -0.1, 8, 40, -3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p + 4*p + 5*p + (4 - 4 - 4)*(3*p - p - 5*p).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 16*f + 24. Determine w(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 = -2*a + 47. Let r = -135 + a. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(390\/(-2))*(-276)\/92*1\/(-7).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 616 - 611. Which is the closest to 2\/7? (a) 2.7 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77a8 (base 11) in base 16?\nAnswer: 282a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, a: 1, g: 1, f: 1, x: 1}. What is prob of sequence far?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Let m = 3 - t. Let g be (-6)\/(-9)*-6 + 2. Sort g, 4, m in increasing order.\nAnswer: g, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40.7 + 41.7. Let g = -332.84 + 333. What is the closest to l in 0.2, 2, -1\/4, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 - 4254943*x**4 - 172*x**2 + 608*x + 12?\nAnswer: -60*x**2 - 102118632*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 26236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 7*k + 6. Let j(g) = g**2 - 2. Let y(v) = 2. Calculate k*j(u) - 3*y(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + -3 + (1452 - 1398)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 383328.\nAnswer: 383328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -286. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112888, 225823, 338812, 451861, 564976?\n\"Answer: i**3 + 21*i**2 + 112865*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*p - 2*y - 24, 3*p + 4*y = -7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w + 10 = 0. Let t be w + 13 + (-4 - -1). Let p be 68\/18 + 10\/45. Solve 2*g = 3*f + 19, -2*g + t*g - 2 = p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10383614.3 + -23375?\nAnswer: -10406989.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 + 0*n**3 + 22026 - n**4 + 3*n**2 - 22031 + 2*n to s + y*n + w*n**4 + d*n**3 + m*n**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -674096430, -674096431, -674096432, -674096433, -674096434, -674096435?\n\"Answer: -r - 674096429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((-780)\/208)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyymmmyymm. What is prob of picking 3 y and 1 m?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.6 - 5. Let o = a + -1.5955. Round o to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 13. Let t be h(-3). Suppose -28*q = -t*q - 18. Solve -3\/4*u**3 + 3\/4*u**5 + 21\/4*u**2 - 9\/4*u**4 - q + 0*u = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 - 13*r + 8. Let o be a(9). Let d = -34 - o. Let x be (-2)\/6 - 14\/d. Solve -x*w + 8 = 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 14) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -6. Let i = -187 - -183. Let j be ((-6)\/(-2))\/(7 + i). Is a less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216144.2 hours in days?\nAnswer: 50672.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -25*n - 1. Let c(t) = 2*t**2 + 56. Give b(c(o)).\nAnswer: -50*o**2 - 1401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -991 or -987?\nAnswer: -987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8458?\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s, -2*c + 5*s - 10 - 9 = 0. Let w = 1 + 1. Find u such that -10*u**2 + c*u**4 + 5*u - w*u**4 - 5*u**5 + 9*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27366*k**2 + 0 + 0 - 82935*k**2.\nAnswer: -55569*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -69*v + 66*v + 3*z, 7*v = z - 44 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 45*i + 271. Let a be v(-6). Which is greater: -2\/117 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (117\/26)\/(2\/(-16)*-6). Suppose -n + 12 = -2*l - a, 0 = 4*l - 20. Calculate the remainder when 669 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009932 divided by -252483?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 1. Let i be g(-2). Suppose i = 2*u - 9. Suppose 8 = k + k - 4*c, 4*c - 64 = -4*k. Calculate the least common multiple of k and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437*(-123)\/(-9348)*((-6)\/2 + -5).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**3 - 261*o**2 + 10. Let q be u(29). Calculate the greatest common divisor of 2195 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 90, 173, 322, 543, 842?\n\"Answer: s**3 + 27*s**2 - 5*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 3256838.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r + 4*r + 2*r + 6*r - 11 - r. Give x(-15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 + -1)) + 311 + -306\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -31 (b) 1\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.2. Which is the nearest to -1? (a) 1 (b) h (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4364*f**3 + 686*f - 1934*f**3 - 7929*f**3 - 686*f.\nAnswer: -14227*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 15*m**2 + 18*m.\nAnswer: -3*m*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = -2*h, -5*p - 2*h = h. Suppose p*w - 172 = n, -2*w - 2*n + 226 = 2*w. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times -5315?\nAnswer: -11161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 4197691*g**3 + 3*g**2 + 26221850*g wrt g.\nAnswer: 12*g**2 - 25186146*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 111720.\nAnswer: 111720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:54 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 823 + -823.0409. Let h = c - -0.04089741. What is h rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2)*3*-1. Let d = -33 + 35. Solve 4*g - d = -5*j, g + g + 10 = h*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - m**4 + 2*m**4 - 4*m**4 + 2*m**4 + 2*m**2 - 2*m**4 + m - 4 + 4 + 2*m**4 + 0*m**4 - 4*m**4 + 2*m**4 + (-m**3 - m + m)*(-18 - 9*m + 18).\nAnswer: 4*m**4 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 429517141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 52*p**3 + 35 - 11.\nAnswer: -52*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 63750 divided by -1875\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((780\/45)\/13)\/(2\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -5, -1\/4, -0.08, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65503, 65504, 65493, 65464, 65411?\n\"Answer: -l**3 + 8*l + 65496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014676 divided by 1?\nAnswer: 4014676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/232477924 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, j: 1, k: 2, c: 3, a: 2, l: 4}. What is prob of sequence lyj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-9))\/(((-30)\/(-9))\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 5*k**2 + k + 6. Let c be z(0). Solve 5*x - 9 = 5*t + c, 3*x - 4*t = 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 92 = 68. Let v = 11 + x. Let u = -7 - v. What is the highest common factor of 70 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 - y - 5. Let i be k(4). Suppose -2*a - i = u, -5*u + u = a + 53. Let o = -23 - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5102311 and 14111?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 162*q + 56495. Calculate i(-364).\nAnswer: -2473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -120 (b) 66 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:09 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*q = 9, -4*g + 258 = 3*q + 227 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/1085 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.2 (b) 2\/17 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-158 - (-409 - -113))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytvtyvnsnvtnyvstvyt. Give prob of sequence vsn.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 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: What is the value of (1 - (40 + -21)) + 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 43621?\nAnswer: 8724.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 152606128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let o(a) = 2 + 2*a**2 - 3*a**2 + 2*a**l. Is o(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 52345.664003 and -0.18.\nAnswer: 52345.484003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 674968999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145 - -159. What is the highest common divisor of z and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 7\/12*s**4 + 0*s**5 + 34\/15*s**6 - 1\/3*s**3 + 0*s**2 + 57*s + 0. Find the third derivative of b(l) wrt l.\nAnswer: 1632*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453071181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 48 = 23*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 334041107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -10) + 20 + ((-2070)\/12)\/23\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**3 + 151326225*x**2*z + 4076*x*z - 3*x + 3949*z wrt x.\nAnswer: 18*x + 302652450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 10. Let r be x(6). Suppose r*s + h = 10, 7 + 8 = s + 3*h. Suppose 4*v - 269 = s*z, 2*v = 4*v - 3*z - 133. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -338, -658, -1078, -1598, -2218?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1947 + -1947. Do f and -11\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1855\/(-350) + 30\/(-100)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*c + 2*c + 16, 5*h + 3*c - 31 = 0. Suppose h*q = 5*j + 30, -2*q + 0*q = -j - 17. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - 9.1. Let j = -5 - n. Let z(i) = -4*i**3 + 2*i**2 - 2*i + 1. Let b be z(1). Put b, j, -1\/4 in decreasing order.\nAnswer: j, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**3 + k**3 + 2*k**3 + (1 - 4 + 1)*(34 - 13*k**3 - 34) + 4*k**3 + 0*k**3 - 5*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36600 - 15396 - 17585 = -329*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153309010 is divided by 526.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let t(c) be the first derivative of -15*c**2\/2 + 2. Calculate g(t(j)).\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249094 greater than 250419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1012120?\nAnswer: 1012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f - 13. Let y(u) = u**2 - 5*u - 14. Let w(q) = -3*d(q) + 4*y(q). Let l be w(10). Solve 8\/7*h**4 + 0*h + 18\/7*h**l + 0 + 4\/7*h**2 = 0 for h.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 - 12 + 4*v**2 + 7. Let m(z) = z**2. Give p(m(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + -1256122296?\nAnswer: -1256122295.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7940 and -145\/7146?\nAnswer: 71460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.3 and -426.\nAnswer: -428.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12764 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 r = 6\/7289 + 2587499\/116624. Which is bigger: r or 21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 230*v**2 + 9*v - 20. What is the tens digit of h(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 1:42 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 4778. Let m(y) = -2*y. What is z(m(u))?\nAnswer: -4*u - 4778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 1\/5, 1, -25, 5, 4\/7, -0.3697?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 7*p + 1. Let u be (12 - -3)*(-6)\/(-15). Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 15*a - 12. Let g be y(3). Let h(p) = -4*p + 3. Let q be (-2)\/(-3) - (-2)\/6. Let f(k) = -3 + 2 - q - k + 3. Give g*f(x) - h(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/21 (b) -0.23 (c) -0.5 (d) 0.234 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and 12415448.\nAnswer: 12415447.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = -22*g - 554 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:44 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 15 - 95. Let l(k) = 11*k**2 + 12*k + 19. Calculate the smallest common multiple of l(-3) and q.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11648*l**2 + 1500*l - 3003. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from {d: 1, g: 6, t: 4, b: 2, k: 3}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = 2*w + w, 3*w - 12 = 2*y. Suppose w*h = -4*i + 28, 4*h + 2*i - 41 = 27. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385193.30038+-386\nAnswer: 384807.30038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 418 - 74 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/11, -5\/6, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.2?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*i - 4 - 2, q + 2*i - 1 = 0. Solve -4*a + 3 = o, -q*a - 7 = -6*a + 4*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12577761 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5724644 is divided by 84183?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - 0*t. Suppose 2*h + 2 = t, -2*a + 2*h = -5*a + 13. Suppose 85 = a*y - 15. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 733*b + 23*b + 102*b + 7722 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -62, -128, -210, -302, -398, -492?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 7. Let j be z(1). Solve 0 = 3*q - 3*h + j + 4, 5*q + 37 = -4*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-695)\/1668*((-2)\/1)\/(-1). What is the closest to -2.535 in -4, f, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/5*(-6 + (-52)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 212*i = -441*i + 232*i - 40, 0 = -4*j + 2*i - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*w + 357*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 22*v**5\/85 - 35*v**4\/34 + 26*v**3\/17 - v**2 + 4*v\/17 + 76. Suppose r(l) = 0. Calculate l.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.44051 rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 29*g**3 + 11*g**3 - 53*g**3.\nAnswer: -71*g**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 100*x - 7. Calculate b(-1).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + -710?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21806 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/38 and 103\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5556)\/132 + 36 - (-1 - 1)*3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2299)*4 + 2 - ((2*sqrt(2299))**2*3 + (sqrt(2299)*2)**2 + -4)) + -5)*1.\nAnswer: -36785 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(31 - 7 - 7 - 2 - 3 + 4 + 4 - 1 - 2 + (-4 + 0 + 5)*(-5 + 2 + 1) - 3 + 4 + 1 - 2 - 2 + 2)*(-4*b + 5*b - 3*b) in the form c + o*b and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*t - 5*r, -3*t = 3*r - 38 + 14. What is the remainder when 62 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(1\/4)*s**(-5)*s**(4\/5)\/(s*s**(-3)*s*s) assuming s is positive.\nAnswer: s**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13948769\/350140 - 9713\/244. Let v = -1\/574 + b. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*u = 16, -4*w + 5*u - 32 = 8*u. Let r be ((-10)\/7)\/(w\/28). Solve 7 = 4*y - r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*s = -2, 9*l + 4*s + 24 = 4*l. Let p be (100\/104 + 3 + -4)*l. What is the biggest value in 3, -1\/4, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5177138 divided by 1?\nAnswer: 5177138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -810*n**2 - 4785*n - 350 = 0. Calculate n.\nAnswer: -35\/6, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-10)*(-8)\/(-3). Suppose 12 = -y*q - 0. Let v = q - -4. Let l(s) = 3*s**3 + 4*s**2 - 2. Let z(n) = -n**3 - n**2 + 1. Calculate v*l(d) + 2*z(d).\nAnswer: d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(0 + (-363)\/9). What is the highest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 1.931444?\nAnswer: -17.382996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/3*(-3)\/(-2). Let u(x) = x + 5. Let b be u(-7). Let n be -5 + d\/b - 5999. Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 + t + 1. Let a(s) be the first derivative of 6*s**2 + 1\/3*s**3 + 2 + 7*s. Let y be a(-11). Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 110069. Let l(x) = x - 4. Calculate l(g(v)).\nAnswer: 3*v + 110065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -40 + 19 + 35 + (-27 - -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 + 2*m - 1. Let i be t(1). Let w(b) = 29*b - 4. Let q(z) = -29*z + 4. Let s(l) = -4*q(l) - 5*w(l). Is s(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 11*g + 3. Let j be y(-6). Suppose 124823 = j*w + 3656. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4. Let m(n) = -8*n + 69. Determine -2*m(i) - 6*r(i).\nAnswer: 16*i - 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 2*p + 488. Let i be x(0). Let m = -151 + i. Calculate the remainder when m is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v + 97. Let w be m(-16). Which is greater: 1\/221 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 20865 = 98*y + 119*y for y.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 12 = -44*t - 3*j, -5*t + 13 = j. Solve 0 - 2\/3*c**4 + 1\/3*c**t + 1\/3*c**5 + 0*c + 0*c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 428.735 centimeters?\nAnswer: 4287350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/(80\/5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.0521 and 29?\nAnswer: 22.9479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*v = 6, -z + 6 = -0*z + 5*v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4*(-4)\/9)\/(-7*(-11)\/(-231)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 426832121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y - 1)*(-1 - 8 + 1)*(-y + 1 - 1).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -466598.6 times -22.9\nAnswer: 10685107.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/2)\/((z\/((z*z**(-16)*z*z)\/z))\/z))\/(z*z**(1\/5)*z**(-1\/2)) assuming z is positive.\nAnswer: z**(-101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 14. Let n be 7 + 4\/(-8)*0. Calculate the remainder when 60 is divided by f(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -9 (c) 4 (d) 2478 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166 + -154. What are the prime factors of (-122)\/(-5) + t\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*q + 2 - 5.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84956 divided by -27?\nAnswer: 84956\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:28 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3117 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005094 rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 + 6*m - 14. Let o be p(3). Solve o*y - 3*y + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407400585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + q - 3. Determine k(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 6, h: 8}. What is prob of sequence hh?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and -4 - ((-54)\/6 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**5)\/j**(-5)*(j*j\/(j**(1\/3)*j*j)*j)**48)\/(j**(-5\/2)*j**2*((j**(2\/29)*j)\/j)\/j**(2\/11)) assuming j is positive.\nAnswer: j**(29101\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b5da (base 15) in base 3?\nAnswer: 21002122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001752959 rounded to six decimal places?\nAnswer: 0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205\/148 - -42\/37. Which is the closest to 6? (a) 6 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 78 + 85 - 237 + 5*g**2 + 88. Let q be d(2). What is the greatest common divisor of q and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x - 10*x + 31*x - 10*x - 145*x.\nAnswer: -98*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3033)\/(-14154))\/(-23*3\/(-21))\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b*b*b*b*b*b\/b**(-1\/7)*b*b*b)\/(b**(3\/7)*b**(-6)) assuming b is positive.\nAnswer: b**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7980609 divided by -21\nAnswer: 380029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60101170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -2*n**4\/3 - n**2 + 4*n. Let g(j) = -2 + 2*j + 2. What is z(g(u))?\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 (base 8) in base 2?\nAnswer: 1101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3)\/((-22)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 5*z**2 + 2*z + 4. Determine s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(d - d + 2*d) + d - d + d - 2*d + d + 0*d + 2 + 7*d - d - 2*d.\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 164*f - 163*f + 8, -4*f - 20 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-26) + (31 + -9)\/22\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -14 in ascending order.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1074 or -1073?\nAnswer: -1073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7788, 15050, 21790, 28008, 33704, 38878?\nAnswer: 43530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - -1) + (177 - 194).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6*r + 4*r - 29261 = -29277, -13 = 3*y + 4*r - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4094, -1, -5 in decreasing order.\nAnswer: 4094, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(78)\/(sqrt(6) + sqrt(6)*-2))**2.\nAnswer: 6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 5*p + 4*p)*(p**3 - p**3 - 3*p**3 + (-34*p - 36*p + 104*p)*(4*p**2 - p**2 + 0*p**2)).\nAnswer: 792*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48300)\/690)\/(440\/(-11)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-3*sqrt(10) - sqrt(10)) + sqrt(2))*1.\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9106300 to the nearest ten thousand.\nAnswer: 9110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**4\/12 - l**3\/3 - 8*l**2. Let q(i) be the third derivative of -i**3\/6 - 3*i**2. Give -3*q(o) + u(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*j + 5*k + 19, 3*k = 5*j - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3409*s**2 - 2*s**3 - 10738043*s + 10738043*s)*(-3*s - 4*s + 5*s).\nAnswer: 4*s**4 + 6818*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227404 + -4?\nAnswer: -227408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/(-75))\/((-1)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/864 and (-2115)\/(-1308) - (19 + 210\/(-12))?\nAnswer: 94176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 196\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a63 - 6dd2?\nAnswer: -7a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/2*4*160\/192*6\/(-20)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32469 and 711?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b)**5\/((b**(1\/3)\/b)\/(b*b**(1\/5)*b)) assuming b is positive.\nAnswer: b**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5255*r**3 + 93*r**2 + 5253*r**3 + 10*r + 115*r**2.\nAnswer: -2*r**3 + 208*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.5, -8.\nAnswer: -8, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -3\/7, 0.5, -6, 0.7, 10, 1 in increasing order.\nAnswer: -6, -3\/7, 0.5, 0.7, 1, 10, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6075344 divided by -13.\nAnswer: -6075344\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.381059m in kilometers?\nAnswer: 0.008381059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.9 times -5750\nAnswer: 51175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/97911 and 31\/3450.\nAnswer: 4895550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -1. What is the least common multiple of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52067 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, -5, -8711?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -171. What is the second biggest value in h, 2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1972 (base 10) to base 4\nAnswer: -132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 551*j**2 + 19 + 552*j**2 - 1106*j**2 as p + x*j + v*j**2 + a*j**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 3. Let l be u(3). Suppose 5*g - 65 = 5*y, 0*g - 4*g + 34 = 5*y. Let k(b) = -b. Let t be k(-3). Solve -l*h = -o - g - 6, -t*h = -4*o - 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1))\/(3627\/(-1457)). Let y = -18\/13 + m. Which is the smallest value? (a) -3 (b) y (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.39342 to 0 decimal places.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 414 times 542\nAnswer: 224388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13413 (base 5) to base 7\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163984 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15521 (base 9) to base 5\nAnswer: 320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -86, -194, -324, -464?\n\"Answer: 2*p**3 - 29*p**2 - p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29747 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61772547.\nAnswer: 3, 20590849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + l - 6*l + (4 - 4 + 2*l)*(-1 - 1 + 0) - 3*l + 1 - 1)*(3*l**3 + l**3 - 7*l**3) to the form o*l**2 + a*l**4 + m*l + t + p*l**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.055 greater than -5729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*z + 3*z = 44, 5*z + 33 = y. Calculate the remainder when 21 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -37 + 16*o - 2*o - 111. Is g(25) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkdd when four letters picked without replacement from rdddyydrrryrdkk.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaaaanaaaaaaaaaaaaa. What is prob of picking 2 a?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0 (c) 62.8 (d) -7 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -4*g - 1475. Let k = 321 + g. Solve -l = -k*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*5 - (sqrt(85)*-2 + sqrt(85))*5)\/((sqrt(350)\/sqrt(28))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -142. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2350, 0.5, -2\/303, -3\/5, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.62 - -13.62. Let t = 18.4 + -16.42. Let l = -0.02 - t. Which is the biggest value? (a) l (b) 2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 332 and -2?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*q + 1, -5*n + 8 = -2*q - 4. Solve 3*k - 5 = -n*k + 4*c, -3*k + 2*c = -1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 + 4*u - 13. What is the remainder when j(6) is divided by (-8)\/((11\/2)\/(-11))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/15 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5513 (base 14) in base 12?\nAnswer: 8625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1796576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.75 + 21.549. What is o rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 99?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 11 = -34 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -3, -4, 5, 18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 - -10) + 78 + (1 - 0). Suppose -2*y + 27 = -3*y. Let l = p + y. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 + -1 - (-14 + (2 - 4) + 64))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 14*v - 7907. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c + 37*c - 5*c**2 - 19*c - 9*c + 3*c**2.\nAnswer: -2*c**2 + 52*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:32 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + 410\/(-41). Put -2, 4, w, -4 in decreasing order.\nAnswer: 4, -2, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(((-42)\/15)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**3\/6 - 7*w**2\/2 - 3*w - 12. Let s = 12 - 23. Let f be z(s). Solve f*n + 9 = 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - -165b?\nAnswer: 16a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4137.68 and -262.75307.\nAnswer: 3874.92693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**7\/140 - b**6\/180 + b**4\/24 + 2*b**3\/3 - 2*b**2. Let n(s) be the first derivative of i(s). Let p = -3 - -4. What is n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -13.7\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7227231 divided by -1689\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -13 + 2 - -22 - -26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q + 10 = 51*q. Calculate the least common multiple of q and (-2)\/12 - 43\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 - 79 - 7*n + 0*n to the form j*n + u and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-7 + (5 - 3) - -1 - 15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*q**3 - 470*q + 241*q + 236*q - 4*q**3 to l*q**3 + k*q + p + n*q**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4*a*a)\/a)**(4\/25) assuming a is positive.\nAnswer: a**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 7:32 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 23*l - 3*l - 9*l. Let q(i) = -i. Give o(q(j)).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 182*p**2 + 28*p + 323. Let z(k) = -61*k**2 - 8*k - 99. Determine -2*l(x) - 7*z(x).\nAnswer: 63*x**2 + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -1\/16*l**4 - 4*l + 1\/80*l**5 + 0 + 1\/4*l**2 + 1\/120*l**6 - 1\/24*l**3. Solve q(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 0, -g + 126 = g - 4*r. Suppose -5*z = -100 - g. Solve 2*t - z = 4*u + u, -4*t = 2*u - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lss when three letters picked without replacement from {s: 5, l: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562*-2.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2470 by 494.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 3}. What is prob of picking 3 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 11. Let d be j\/(-9) + 6\/9. Solve 4*t + d*q + 35 = -3*q, -3 = q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1718 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.4, 0.3, 2511 in decreasing order.\nAnswer: 2511, 8.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/6)\/(2\/(-12)) - -1. Suppose 4*w - 16 = d. Calculate the remainder when 54 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - 7 - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3 - g**2 + 1 - 4*g + 0*g + 1. Let j be o(-3). Solve -4*v + 16 = 4*s - j*v, 0 = -3*s + v + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 0*t - 2*t)*(1 + 2*t - 1) - t**2 + t**2 + t**2 - 3*t**2 - 11*t**2 + 16*t + 13*t**2 as l + c*t + v*t**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476393299.\nAnswer: 2423, 196613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22465720 divided by 209960\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 420.84611 to the nearest 10.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-2*sqrt(80)*-1 + 0)*1 + -3))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 34523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((18\/36)\/(4\/(-26)) - -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -456, -449, -440, -429, -416, -401?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**2*q**4 - 2*p**2*q - 12*p**2 - 2*p*q**2 - 2*q**4 wrt q?\nAnswer: -144*p**2*q - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:37 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-434)\/558*(-12)\/14*((-2385)\/6)\/(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 16}. What is prob of sequence ddrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 32)*(0 - -1)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -16 - (-3 - (-70 - -79)) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + 19*r - 38*r + 12*r - 8 - 1.\nAnswer: 14*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -11. Is (1 + j)\/(1\/(-71)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.29 and 1.27?\nAnswer: 7.9883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1998\/(-60)*92\/414\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8338, -8414, -8466, -8488, -8474?\n\"Answer: x**3 + 6*x**2 - 101*x - 8244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5 + 8 = -2*r, -7*r - 11 = -4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 + 0.17. Let d = t - -122.21. Let q = 121.59 - d. What is q rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 2129852771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 10:33 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + 4*i + 6 - 2*i**2 - 3*i**2. Give u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 44025414*t + 161519756489283.\nAnswer: 3*(t - 7337569)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 - -98. Let l be q\/(-21) - (-14)\/3. Suppose 3*i - 23 = -0*i - 4*n, 4 = 2*n. Solve -i*t = 2*g + l, -2*t = 4*g - 0*t - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = k - 2*r - 12, k = 5*r + 36. Let x = 122 - k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*4\/(-36))\/(1\/(-471)). Suppose -3*h = r + 86. What are the prime factors of (0 - 1)\/(2 + h\/39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 66972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 915858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*s - 7, -3*k = s + 4 - 13. Solve -3*n**3 + 2*n**5 - n**s + 2*n**3 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/17))\/w*w**(2\/5)*(w**1\/w)**(-5\/11))**9 assuming w is positive.\nAnswer: w**(396\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/25)\/((-6)\/80). Let b = r - 11. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 29540*r**3 + 1443*r**2 + 25*r. Let u(h) = 9847*h**3 + 529*h**2 + 8*h. Let b(i) = -11*u(i) + 4*v(i). Find the third derivative of b(w) wrt w.\nAnswer: 59058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11736 less than 11906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4187 + 4055. Solve 15*m = 4*m + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 equal to -4714\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487941 is divided by 605?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 0.1 (c) 0.09 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/1773 and -89\/6?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722659 = 76*j + 725091 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 4. Solve -k - 6 + 1 = 0, c*q + 14 = -k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -9. Let k = -17 + y. Let i = 0 - k. Which is the closest to 2\/3? (a) i (b) -3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-1)\/(14\/21))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 16*p - 3. Let o(z) = 2*z**2 - 16*z - 2. Let f(d) = -3*h(d) + 4*o(d). Calculate the remainder when f(-14) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.42 - -0.42. Let u be (-1 - -3)\/(-2) + 2. What is the closest to 0.1 in 3\/5, u, m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41324431 + -112?\nAnswer: 41324314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9243490 by -554.\nAnswer: -16685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -2*h - 522. Let d = -84 + h. Solve -4*w - 5*c + 10*c = -20, w - d*c = 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 15*b - 18 - 3*b - 5*b.\nAnswer: 4*b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 1335*x + 77830 = 0 for x.\nAnswer: 86, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 89*y)*(35*y**2 - 27*y**2 - 30*y**2).\nAnswer: 1958*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 - (5 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -56. Suppose -5*t - w = -d, -5*t + 5*w = 2*w - 8. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j**(4\/3))**(-2\/43)\/(j**(2\/31)*j\/(j*j**(-1\/5)*j)*(j\/((j\/((j**0\/j)\/j))\/j))**(-38\/5)) assuming j is positive.\nAnswer: j**(-129196\/19995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, m: 2}. Give prob of sequence umm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 28 = 4. Let u be (-2)\/v + (-38)\/(-8). Let n = 166 + -166.3. What is the closest to n in u, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -4\/3 (b) -1\/15 (c) -22 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*j - 105 = 0, -10*b + 3*j - 159 = -13*b. Let q = 32 - 12. Calculate the least common multiple of b and q.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32640 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 44*v - 86. Let f be u(9). Solve 48*a = 47*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.963 + -0.037. Let z = -57 - w. Which is the nearest to -1? (a) 0.2 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**8\/112 + 3*t**4\/8 - 10*t**2. Find the second derivative of o(w) wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/8 (b) -3 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 17*f - 44. Let q be b(-14). Sort -3, -1, -9, q.\nAnswer: -9, -3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*h - 48 - 567*h + 48 + 486*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:13 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 135*v**2 + 324*v - 7713. Give m(133).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:16 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -186. Sort r, 0.02, 0.3, 0.2 in increasing order.\nAnswer: r, 0.02, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and 73\/17940.\nAnswer: 35880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 3 - 3 + (-2 - 1 + 1)*(-3*v + 3*v - v**5) - 14 + 14 + 9*v**5 + 2 - 2 - v**5 - 3*v**3 + 3*v**5 + 3*v**3.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*l**3 + 31*l**3 - 39*l**3 + (-2*l + 2*l + l**2)*(2*l - 5*l + l) - 4*l**2 + 4*l**2 - l**3.\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/9 + 569411752*b\/9 - 40528717914463688\/9 = 0.\nAnswer: 142352938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 424 + 424.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 2*f. Let g(z) = 8*z**3 - 5*z**2 + 2*z + 1. Determine g(c) + 2*m(c).\nAnswer: 8*c**3 - 7*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2113 - 1349. Let v = c + -433. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1473 = 21*z - 19*z + 17*d, -2*z + 0*d = -0*d - d + 93 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4\/1295, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-10)\/105 - ((-620)\/(-105) + -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.271, 1\/7, -2869, -4 in decreasing order.\nAnswer: 1\/7, -1.271, -4, -2869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + h - 7*h**2 + h - 3 + 8*h**2 + 1 to the form m + p*h + a*h**3 + v*h**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3479571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6.6. Let p = -0.7 + i. Let d = 1 - p. Which is the third smallest value? (a) d (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o**2. Let a(h) = 6*h**2 - 22*h**2 + 15*h**2. What is b(a(q))?\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 120\/45*(6\/4 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 391 = -45. Let q = h + -99. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14*q + 17. What is the least common multiple of z(8) and (2 - 1)*-9*15\/(-9)?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-1) + 1)*2.\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1189 - 10*x**2 + 5153*x - 5153*x + 28*x**2.\nAnswer: 18*x**2 + 1189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1494583, -1494986, -1495389?\n\"Answer: -403*f - 1494180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 60*i**2 - 85*i - 150.\nAnswer: -5*(i - 10)*(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 15. Let v = y + 6. Let u be 0 + (-1 - v)\/1. Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 3\/5*s**5 - s**3 - 25 + 0*s - 3*s**2 + 3\/2*s**4. Factor r(i).\nAnswer: 3*i*(i - 1)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 1:38 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)\/t*t\/(t*t\/t**5))**(1\/13) assuming t is positive.\nAnswer: t**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 22*x**2 - 12*x + 13. Let g be r(4). Suppose -69 + g = 2*u. Does 62 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111221 + 202121112002?\nAnswer: 202122001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22420284, 22420290, 22420296, 22420302, 22420308?\n\"Answer: 6*x + 22420278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 986, -2\/5, 0.2, -1.3, -9.7, 4?\nAnswer: 986","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38515611.2 - 3687?\nAnswer: -38519298.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1669941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -42)*4\/6. Suppose q - 17 = -5. What is the greatest common factor of x and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0488 times 1\nAnswer: -0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221122220020 + -22?\nAnswer: -221122220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*y - 3 + 3 + 4 + 8.\nAnswer: -3*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182707 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*w + 743*w - 3556*w in the form a + f*w and give f.\nAnswer: -2896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73372 + -40032. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/2 + 140575*w - 281140.\nAnswer: -5*(w - 56228)*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*c**4*s - 37*c**4 - 2*c**2 - 1171*c*s + 6*s wrt c.\nAnswer: 228*c**2*s - 444*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 1441?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 56. Let w be l(-13). Let n(a) = -a**3 + 22*a**2 + 11*a + 93. What is the hundreds digit of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3104 (base 5) to base 8\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-132)\/(-1936)*22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*w + 1068, -3*w + 2 = -4. Let r = a + -267. Let q be (-72)\/(-21) + 12\/21. What is the greatest common divisor of q and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -54*m**3 - 13*m**2 + 5*m + 2. Let t(a) = -52*a**3 - 14*a**2 + 6*a + 3. Let u(h) = 5*l(h) - 4*t(h). Is u(-2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-217)\/(-93))\/(630\/10260).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35457272662 + 154.\nAnswer: 35457272816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1763 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14894 (b) 50 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24216, -48434, -72652, -96870, -121088, -145306?\nAnswer: -169524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11552541 - 1?\nAnswer: -11552542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 + h - 39. Give s(-7).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -205, -2, 8, 4 in increasing order.\nAnswer: -205, -2, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65*((-3)\/(-1))\/(12\/16). Let c = f - 173. List the prime factors of c.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 2?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*x + 821, -w - 5*x + 3*x + 409 = 0. What are the prime factors of w?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -2*j**2 - 1\/12*j**4 + 4*j + 4\/3*j**3 + 0. Give b(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/24)\/(y*y*y**6) assuming y is positive.\nAnswer: y**(-193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2322199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5362759 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-4))\/((-3)\/14). Let r = d - 13. Let u = 11 + r. Calculate the highest common divisor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -139011, -139010, -138997, -138966, -138911, -138826?\n\"Answer: d**3 - 6*d - 139006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0 - 12 = 0. Suppose 5*j = t*c + 24 - 7, -5*j = 5*c - 35. Sort -1, c, -5 in increasing order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1 + -1)\/(-2). Suppose i = 5*s - 6 - 14. Solve s*v = -3*o + 35, -o = 4*o - 2*v - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q - 49. Let b be o(12). Suppose -5*v - b = 5*i, -4*v + 6*v + 35 = -i. Let w be -1 + 1 + -4 - v\/4. Solve r - 2 + 1 = w, -a - 4*r = -1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(500)*2 + 1).\nAnswer: -200*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.93 - 0.07. Let j = -491.846 - -492. Let d = 0.246 + j. Sort -0.2, d, 2\/7, l in ascending order.\nAnswer: l, -0.2, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -168528, -336850, -505170, -673488, -841804, -1010118?\n\"Answer: b**2 - 168325*b - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.98. Let c = 0 - 0.2. Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.105? (a) -2 (b) -0.05 (c) -0.25 (d) -0.2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48394057 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = 23. Let r = -16 + y. Let m = -5 - r. Solve m = 5*f - 5 - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + s + (-40 + 40 - 9*s)*(-1 - 3 + 6).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 5 = 0, f = -2*j + 17. Let y be (-1*3\/j)\/1. Let w = 31\/75 - 2\/25. What is the third smallest value in y, -1\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15632 + 15699. What is the remainder when 5683 is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 3473.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 2 - (-91 + 95)) + (21 - (4 - -5))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -3005870.\nAnswer: -53\/3005870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 426856. Suppose -4*w + x - 1088566 = w, -2*w = 4*x + 435444. Let g = l + w. What is g rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {g: 1, z: 2, a: 3, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m - 5. Suppose 6*a - 88 = 2*a. Let c = a - 12. Calculate the least common multiple of o(7) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 387 + -573. Let y = f + 199. Calculate the remainder when y is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1809, -3674, -5539, -7404, -9269?\nAnswer: -11134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/15*(-33)\/2. Let m be 484\/b + 2\/(-7). Suppose 186 = 4*s + 2*q, -m*s + 167 = -3*s - 4*q. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -15, -116, -309, -624, -1091?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3837 (base 10) to base 9\nAnswer: -5233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1230 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -186.58 and -0.0785.\nAnswer: 14.64653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31333, 62354, 93375, 124396, 155417?\n\"Answer: 31021*p + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4696.6 times -1382?\nAnswer: 6490701.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11464 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -0*j - 15. Let x = 3\/59 + -617\/531. Sort j, x, -1 in ascending order.\nAnswer: j, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-7) + (-4 - -3). Let f be ((-133)\/(-112))\/((-110)\/72). Let t = 1\/44 - f. What is the second smallest value in -2, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(42)\/(sqrt(6)*-2))**2.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 351*n**3 - 245*n**3 + 2*n - 100*n**3.\nAnswer: 6*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 9 = 0. Suppose -q - 21 = -2*m + 6, 5*q = j*m - 30. Suppose -4*f = -3*f - m. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*4\/9*(-561)\/22. What is the greatest common divisor of 442 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*x**2 - x**3 - x - 1016*x**2 - x**3 - 1 + 2 - 171*x**2 to the form b*x + n + v*x**3 + p*x**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (2 - (-5 + (11 - (0 + 7))))) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7165780 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356 and 801?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -5 - (-2*sqrt(3) + sqrt(3) + 0)**2)*-2.\nAnswer: -12*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -967 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 25, 0.3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121215133811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -28. Suppose -2*u - 1486 = -o*p + 4*p, -4*p = 12. Let c = -369 - u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*(2*(sqrt(605)*-1 - sqrt(605)))**2 + -1*(sqrt(605) - (sqrt(605) - 3*(sqrt(605) + 2*sqrt(605))))**2 + -2.\nAnswer: -78043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 329279711 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5444 = -3*g - 5203, -2*g = -3*g. Is p a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/(-2)*(-18)\/15. Let z be l\/(-8) - (-6)\/(-24). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2851 + 2974. Solve r*l - 4 = 121*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/30 + 592*v**2. Let c(s) = -83*s**2 + 6. What is c(d(m))?\nAnswer: -332*m**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-0.2869.\nAnswer: -5.4511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2 + 5 + 7 + h. Suppose -3*m - 18 - 3 = 0. Let g be c(m). Solve 0 = g*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 14*c**2 + 25*c - 1. Is w(-11) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 16. Let a be (f\/(-10))\/(2\/5). Suppose -a*i + 7 = -0*i - p, 0 = 4*i + p - 5. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/((v\/v**(2\/5))\/v)*v)**(-1\/16))**(-12\/11) assuming v is positive.\nAnswer: v**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 33 = -3*m - 17*g, 3*m + 2*g = 7*g + 32 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/75)\/(8856\/492 - 100\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.61476828 to 4 decimal places.\nAnswer: 10.6148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 9*p - 8. Suppose -5*d + 21 = 71. What are the prime factors of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/3 (b) 2 (c) -2\/19 (d) -162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 17*n**2 - 7*n - 14. Is z(-6) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 974.2 to the nearest ten.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*v - 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*m + 3*w, -13*m + 11*w - 90 = 7*w for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3108 divided by 2.\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 8621800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4476 - -1924679\/430. Let j = -3 - -3. Is r greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d = -24. Let q = d - 6. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6173\/(-14371) + (-378)\/(-882). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (2*sqrt(832) + 3)**2 - sqrt(832)) + sqrt(832) - (5 + sqrt(208)*5).\nAnswer: 84*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/26 + -4\/13. Let g = 0.38 - -0.02. Which is the nearest to z? (a) 0 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143603 - -5233?\nAnswer: 152136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-299)\/69).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/5 - (-1336)\/10.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37233\/(-2835) + (-12)\/(-90)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5304264 (base 7) to base 12\nAnswer: 26a586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 4*p + 9*p**3 + 2 + p**3 - 5*p**3 as n + d*p**3 + q*p + l*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/48 and 25\/4841787?\nAnswer: 77468592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 - 5*d + 17. Let a = -6282 + 6277. Let p(k) = k**2 - k. Calculate a*p(y) + l(y).\nAnswer: 2*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140414222?\nAnswer: 2, 13, 353, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5863208 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 98*q**3 + 3*q**2 + 20*q - 21. What is r(1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 m when four letters picked without replacement from {m: 16, n: 2}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from dmgmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3 + 754*t**2 + 9949*t + 16874 = 0.\nAnswer: -11, -2, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g - 25. Give l(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*n = -55, p + 12 = -2*n - 10. Which is bigger: p or -17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-120))\/((-6)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -8\/3*p**3 + 11*p + 5\/3*p**4 + 0 - 5\/12*p**5 + 11\/2*p**2. Let g(s) be the first derivative of x(s). Solve g(v) = 0.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 6*b**2 + 6*b - 8. Suppose 0*r = r - 3*u - 3, -2*u + 6 = -2*r. Let w be q(r). Let o = 2 - w. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-130974)\/(-114) + -9 + (-26)\/(-247)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1295 and -38\/64195?\nAnswer: 449365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191 and -5.\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:08 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 264?\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 23375184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*o - 3*o. Suppose o*r = -r. Suppose -2*x - 25 = -5*a, r = -2*a + 4*x + x + 10. Solve 0*k = a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512900489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 - y**2 + (-3*y - 11*y - 83*y)*(2*y + 2*y - 5*y) + (2*y - 5*y + 4*y)*(-y + 0*y + 0*y).\nAnswer: 93*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 3. Let p be x(-4). Let w be 100\/p*12\/10. Let r = w - 3. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -30, -2171, -5\/2.\nAnswer: -2171, -30, -5\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3546, 14075, 31614, 56151, 87674, 126171?\nAnswer: 171630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -150. Is (-2 - -4)\/(-2) - t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -70. What is the nearest to t in 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 64*w**2 + 4*w - 64.\nAnswer: -4*(w - 16)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - 0.24593?\nAnswer: -0.27593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 19*w - 18. Let o be v(-19). Let z(n) = n**3 + 16*n**2 - 15*n - 17. Let y be z(o). Let g = y - -566. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*a, -q = a - 12 + 3. Solve -2*j + q*d + 5 = 23, -4*j - 24 = -4*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200402*f = 200404*f + 10*t + 80, -5*f - 3*t = 46 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -3, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 848 and 3816.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-8\/7)\/p))**(4\/15) assuming p is positive.\nAnswer: p**(88\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 16*u - 27 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 11685*r**2 - 46719*r - 4. Calculate c(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywx when three letters picked without replacement from {y: 1, w: 1, x: 7, h: 1, p: 3}.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3749?\nAnswer: 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*c - 2 = -6, 3*c = -3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 42*c**2 + 1672*c - 320 = 0?\nAnswer: -40, 4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 2 - 6*t**2 - 3 + 0*t**2 + 2. Let j be c(1). Let n(s) = -64*s - 3. Is n(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 6520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5*t + t)*(-6*t**4 + 10*t**4 + 8*t**4).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*u - 592 + 4680 = 0 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -63, 0, -4, -3, -76605.\nAnswer: -76605, -63, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 11*t**2 + 11*t - 15. Suppose -j + 30 = -5*q, -4*q = 3*j + 3 + 2. Suppose 5*l = -v - 12, j*l - l = 0. Determine b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g - 6*g + 38*g)*(-5*g - 5*g - 4*g).\nAnswer: -686*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15272146349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - (8 - (8 + -4)) - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/42 and -139\/1882720?\nAnswer: 5648160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15041325 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11379758000 to the nearest one million.\nAnswer: -11380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 996.2?\nAnswer: 996.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 1. Let h(g) = -g**3 + 36*g**2 + 87*g - 422. Let w be h(38). Let x(s) be the third derivative of -s**4\/24 - 2*s**2. Calculate w*x(k) + p(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (-38 - -25) - (-1 + 34)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**3 + 0*d**3 + 2*d**3)*(-3125*d - 11713*d - 2127*d) in the form v*d**2 + u*d + c*d**4 + g*d**3 + p and give c.\nAnswer: -33930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/6307 and -89\/345984?\nAnswer: 2421888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 596, 974, 1358, 1748, 2144, 2546?\nAnswer: 2954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m = 84*m + 5*f + 7, 3*f = -4*m - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 7*k + 18. Suppose -249 - 191 = -5*v. Let q = 84 - v. What is the lowest common multiple of m(q) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + 2*d**2)*(166 + 278 + 686).\nAnswer: -2260*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:09 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/608 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 11*g + 17*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-613490)\/(-285450) + 2\/11 + -1. Let y = -2\/865 - r. Sort y, -0.5, -59 in increasing order.\nAnswer: -59, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y - 10*y + 2*y + (2*y + y - y)*(3 + 2 - 2) + 11 - 11 - 15*y)*(4 + 0 - 3)*(-3*y**2 + 2*y**2 + 2*y**2).\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123468398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 + -150. Let y be 1\/5 + (-507)\/b. Solve 0 = -0*g + 2*g + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79208.758 rounded to the nearest 100?\nAnswer: -79200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*a + 5 = 0, 2*o + 2*a - 12 = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 2*o**4 + 3*o + (-5 + 1 + 2)*(167 + 124 - 485)*(-o**4 + o**4 + o**4).\nAnswer: 386*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153298 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 8 in increasing order.\nAnswer: -36, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -278, -876, -1498, -2156, -2862, -3628, -4466?\n\"Answer: -2*j**3 - 584*j + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677600947 to the power of 1\/2, to the nearest integer?\nAnswer: 26031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 8*h**2 - 17*h + 34. Let i be b(-10). Suppose 4*p - 3*l + 11 = -2*l, 3*l = i*p + 1. Does -22\/7 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2446 + 6549. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t + 39. Let i be f(-9). What is the tens digit of 19\/(-1*i\/(174*-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2185, 2\/3, 2, 66.05 in descending order.\nAnswer: 66.05, 2, 2\/3, 2\/2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*n + 1)*(3142 + 3640 + 2084 + (1 - 3 + 3)*(-4 + 4 - 1)) in the form z*n + q and give z.\nAnswer: 17730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = -7*r - 4*u, -3*r - 5*u = 17. What are the prime factors of (624\/(-5))\/r + 7\/(-35)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f. Suppose -3*o + 3*j = 12, 0 = -o - j - 1 + 5. Suppose o = 5*y - 4*v - 61, f*v - 4*v - 7 = y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 17*n + 14. List the prime factors of q(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-17291\nAnswer: -1037.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjqfqqqfj. What is prob of sequence fj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 4:08 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 62 = -2*g, -3*q - 1839 + 1886 = 5*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -64+1.427802492\nAnswer: -62.572197508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 11*j**6\/720 - j**5\/24 - j**4\/6 - 2*j. Let f(c) be the third derivative of g(c). What are the prime factors of f(4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 17*a**4\/24 - 50*a**3\/3 + 36*a**2 + 2*a. Let d be z(6). Let y(v) = -v**3 - v**2 + v + 1. Calculate y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**2\/2 + 5*j + 5. Let t be a(-14). Let g be (-7)\/(-9) + (-2)\/t. Put -5, 2, g in descending order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/(13\/(26\/4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -1, -577, 0.2, -5, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/9859536 and -37\/1574.\nAnswer: 9859536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 + 8*k + 4. Let i be y(-7). Let w be 75\/(-27)*-1 + i. Which is the nearest to 0.2? (a) 3 (b) w (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 5, n: 4}. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 530 * -0.015.\nAnswer: -7.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 1. Let f be (3 - -537*1)*d. Suppose -5*s + 0*s + f = 0. What is the greatest common factor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -43*l**3 + 3*l**2 - 2*l - 3. What is b(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from jyqjjjjjyqt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -54 + 1\/2*r**2 + 2\/3*r + 1\/9*r**3. What is s in k(s) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3\/3 - 20*u**2 + 36*u + 324 = 0 for u.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2 + 0*u + 3 + 1\/4*u**4 + 0*u**3. Find the second derivative of r(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/36 + d**3\/9 - d**2\/6 + 4*d. Factor a(h).\nAnswer: -(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 + -282. Suppose -j = 5*r - 144 - 573, -h*r = -5*j - 591. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 15*r**2 - 59*r - 80. Let i be p(-10). Solve i*o - 4656 = -4586 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5476*n - 35673 - 88164 = 24015 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8*-2679057.\nAnswer: 18217587.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 949 and -268697.\nAnswer: -267748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15300, -15319, -15342, -15369, -15400?\nAnswer: -15435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636*t - 14940 = 221*t. Suppose -5*m = -m - 12. Suppose -m = f, -u - f + 5 = f. What is the remainder when t is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5 + 5*d + d - d - d. Let t be s(5). Suppose 0 = -5*v + t + 10. What is the greatest common divisor of 15 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0522 + 0.0224?\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4398.\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 36 - 0) + 68 + -47 + -33.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7439 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006458048 to four decimal places.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + q, -2*q + 1 + 5 = p. Let j be 2 + -2 + p + 1. What is the greatest common divisor of j and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55864 times 0.53?\nAnswer: 29607.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*a + 125*a + 24*a - 1216. Find f, given that 0 - 3\/8*f**a + 9\/8*f**2 + 0*f - 3\/4*f**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-125)*((-1)\/(-5))\/((-8988)\/37450)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 17289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 9*y - 1. Let n be w(9). Let q = 17 - n. Let l = -613 + 739. What is the greatest common divisor of l and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mtttttmtttmmtm.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1129232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - r + 0*r)*(-1 - 1 + 1) - 3 - r + 3 + (-4*r + 6*r - r)*(-2 + 1 - 1) + 3*r - 3*r - 2*r + 0*r - 11*r + 6*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123705 by -41235.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 207*p**6 - 5*p**5 - 240*p**4 + 4781*p**2 - 1360 wrt p?\nAnswer: 24840*p**3 - 300*p**2 - 5760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/5564 and 9\/13554760.\nAnswer: 176211880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 24 - 29*h + 26*h + 141 + 10 in the form k*h + t and give t.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 36.\nAnswer: -7, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2584340.\nAnswer: 2, 5, 11, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-8)*8\/2. Let g be r\/(-42) + (-1)\/(-2). Let h = 5 - 0. Which is the closest to g? (a) -2 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104041 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 - 19*i**3\/6 + 12*i**2 + 133*i - 1. Calculate v(12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84392)\/(-11508))\/((-2)\/30).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 27 - 21. Solve -n - 4*n = r - 7, -2*n - 8 = m*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 13. Calculate the remainder when 45 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/21))\/(s**(4\/5)*s)*s**(-2\/11)\/(s\/((s\/((s*s\/((s\/((s*s**(2\/5))\/s))\/s))\/s*s))\/s))*((s**(-3)\/s)**26)**(-37) assuming s is positive.\nAnswer: s**(4439489\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 - 5*i + 9. Let l(x) = 1 + 5 + 2 - 3 + 3*x**2 - 3*x. Determine -5*l(o) + 3*u(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + x**3 + 0*x + 0*x - 2*x - 6. Let y(p) = 4*p + 1. Let t be y(-2). What is the units digit of c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.2. Let v = 27.73 + -28. Let g = 0.07 + v. What is the nearest to g in 0.2, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 2:38 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -984c0 (base 16) to base 10\nAnswer: -623808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from yfvffvfvyvvfvffvyff?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 5*t**2 - 4*t**2)*(-590*t + 114*t - 495*t).\nAnswer: -2913*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -60*z + 65*z - 73750, 2*t = -z + 14774. Is 203 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6462606 (base 7) to base 9\nAnswer: -1431566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16586881391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-8) - 916772\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3522619192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 77*a**2 - 3619*a - 110. What is y(47)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00091 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -5 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 873\/93493 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -27*k**5\/16 - 225*k**4\/16 - 375*k**3\/8 - 625*k**2\/8 + 25*k. Factor t(i).\nAnswer: -5*(3*i + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859021423.\nAnswer: 13, 5082967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(32)\/sqrt(4)))\/(4*(2*sqrt(6) - sqrt(6))) + -1*sqrt(35)\/sqrt(7) + (sqrt(125))**2 + 3.\nAnswer: -3*sqrt(5)\/4 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 19. Let b be v(12). Suppose 0 = 4*f - b + 3. Suppose -s = -f - 1. What is the smallest value in s, 1\/2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azkakawckwakkkzkw. Give prob of sequence azkz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22996*w**2 + 45967*w**2 - 22981*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a - 2. Let l = 7 - 3. Let m be h(l). Let x = m + 58. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7018 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:51 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -460270\/3 - -153424. Find n such that x*n**4 + 2 - 8\/3*n**2 + 1\/3*n**5 - 2*n**3 + 5\/3*n = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -318.3264621 rounded to two decimal places?\nAnswer: -318.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let z be (((-36)\/10)\/(-6))\/(-36 - -39). What is the biggest value in z, -0.14, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -49. Suppose -240 - 2036 = -4*r. Let i = r + -389. What is the remainder when i is divided by h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (320\/(-96) - 6\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 12 = 7*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 156 (c) 482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from epggpeeeeepgopegooe?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 9 - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -119f + 19c?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 + -284. Suppose -4*f = 2*h - 12, -6*h + 2*h - 5*f = -j. Solve -4*w = -2*w - h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c**2 + 0*c**4 + 0*c**5 - 110\/7*c**7 + 4*c + 312 - 20*c**3 + 0*c**6. What is the third derivative of f(k) wrt k?\nAnswer: -13200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -233*a + 21. Let y be x(-6). Let q = y - 899. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 71400831?\nAnswer: 4\/71400831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66048 and 25800.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3124576, 1, 6 in decreasing order.\nAnswer: 6, 1, -3124576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 - -7 - (2 + 2 + 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, a: 10, v: 2}. What is prob of picking 2 h and 1 a?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 124, 129, 134?\n\"Answer: 5*w + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240572652*d**4 - 150178601*d?\nAnswer: -2886871824*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/210)\/(4\/(-5))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -163161, 7?\nAnswer: -163161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-4)\/8). Do r and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 397657 = -21*k - 151180. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 1615028*g - 3230048.\nAnswer: -2*(g + 2)*(g + 807512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 = 2*h. Suppose 0 = -h*o + 4825 - 14005. What is o rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7055 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + 451\/143?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smm when three letters picked without replacement from mmmmmmmmmmmsmmsmmmm?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4037 + 4032. Suppose 3*r - 2*r - y - 6 = 0, 0 = 4*r + 5*y - 24. Let v(z) = -2*z**3 + 2*z**2 + 6. Let a(o) = -2*o**3 + 2*o**2 + 7. Give i*a(t) + r*v(t).\nAnswer: -2*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -439604, -879206, -1318808?\n\"Answer: -439602*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465f (base 16) to base 9.\nAnswer: -26636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -13. Let n be (-4)\/4*(h - (-2 - -4)). Let y(q) = -19*q - 29. What is the hundreds digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2475540068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-50)*1*(-120)\/24?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l - 55*l + 24*l.\nAnswer: -86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3342 by -557.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a microgram in nanograms?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2825 (base 11) in base 13?\nAnswer: -1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2. Let l(s) be the second derivative of 31*s**3\/6 + 23*s**2 - 6*s + 8. Let c(a) = 17*a + 22. Let w(h) = 11*c(h) - 6*l(h). Determine g(w(m)).\nAnswer: 2*m**2 - 136*m + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -17, -4, -132 in decreasing order.\nAnswer: 0, -3, -4, -17, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*(216\/(48\/2) + 7 + -18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 570276 and 2847?\nAnswer: 7413588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1897109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/80 - r**4\/32 + 15*r**2. Factor x(z).\nAnswer: -3*z*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqsdy. What is prob of picking 1 d and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + ((-100)\/(-8) - 6). Suppose -p*l + 20 = 2. Suppose 0 = -x - i, 12 = 3*x - 2*x - 5*i. Is l greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, 4\/7, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36215 is divided by 1207.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 29. Give g(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -300022113 (base 5) in base 15?\nAnswer: -182a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(200)*-2 - sqrt(200)) + 1.\nAnswer: -sqrt(13)\/30 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262617, 261598, 259901, 257526, 254473, 250742, 246333?\nAnswer: 241246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 + 2*q**2)*(-48*q**2 + q + q + 50*q**2).\nAnswer: 4*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510595\/892788 - 8\/5723. What is the common denominator of q and -43\/130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 254*v**2. Let c(g) = -2*g. What is c(s(h))?\nAnswer: -508*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*n**2*q**3 - 3*n**2*r - 2*n*q**2*r + 2*n*r - 6*q*r - 2*q wrt q?\nAnswer: -1008*n**2*q - 4*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, 28, 2\/5, -61 in decreasing order.\nAnswer: 28, 2\/5, 2\/7, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19866*v + 3512. Is 13 a factor of b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -1?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s + 24. Let n = s - -1553. What is n rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 6.01, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 98390*a**2 + 590520*a.\nAnswer: -5*a*(a - 19684)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -78, -81, -82, -81, -78, -73?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*a - 22, a - 3*a = -f. Suppose 1028 = f*m + 10*h - 12*h, 0 = -3*m - 2*h + 778. Calculate the lowest common multiple of m and 21.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*h - 2*h + 3*h)*(10 - 19 - 10)*(16 + 11 - 2) to c + p*h and give p.\nAnswer: -9025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 546 (base 10) to base 3\nAnswer: 202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -3, 0.46, -2\/9, -121?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - w**2 + 1. Let n be y(-1). Let h = -0.43 - -0.93. Let r = h + -0.46. Which is the closest to -1\/7? (a) n (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 10. Determine a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 367*s - 34. List the prime factors of j(3).\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16.539, 6\/7, -0.1, -62\/5, -0.08?\nAnswer: 16.539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 2352.\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 34461.3 (c) -1 (d) 0.5 (e) -3\/5 (f) 0.4 (g) 8\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 834*c**2 - 10577*c + 1223. What is v(-13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3 - 218*a**2 + 430*a - 214 = 0. Calculate a.\nAnswer: 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4 - 2663*m**3 + 2360295*m**2 - 693111517*m - 2810381476 = 0.\nAnswer: -4, 889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 7286435 and 7286435 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**3 - 4\/45*a**5 + 0*a + 0 - 15*a**2 + 4\/45*a**6 - 5\/12*a**4. What is s in p(s) = 0?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-1)\/(-15))\/((-2)\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, -5, 3, -1\/6 in descending order.\nAnswer: 3, -1\/6, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 6*k**2 + 4*k**2)*(-2*k + 3*k + 2*k) + 711*k**2 - 13*k**3 + 740*k**2 - 1435*k**2.\nAnswer: -10*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79.63 - -80. Let c = 1.37 - p. What is the nearest to 0 in -0.4, -2\/23, c?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6678 by 9.\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 28*g**2 - 14*g + 196. Does 8 divide p(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/75897 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and (-422)\/(-4) + 15*(-336)\/1440.\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 35*i**2 - 95*i - 18. Let c = 117 - 85. Let t be p(c). Suppose -f = 4*f - 105. Calculate the highest common factor of t and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.04 - -0.04. Let k = c + 1.9. Sort k, 0, 1\/6 in descending order.\nAnswer: 1\/6, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/493 - 1342\/43877. Suppose 21*d = 19*d - 5*p + 10, d = -4*p + 8. Which is bigger: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3151 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7145*i + 2355 + 2372 - 4729 to b*i + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/((l\/(l**4*l))\/l*l))\/((l*l**(2\/5))\/l**1) assuming l is positive.\nAnswer: l**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(136) - 3*sqrt(136)*-2))\/(sqrt(968) + (sqrt(968) - (sqrt(968) - -5*-2*sqrt(968)))).\nAnswer: -7*sqrt(17)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -7*q**3\/3 - 11*q + 1. What is the derivative of z(w) wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310838 and 194821.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/31)\/(3\/(-3)) + (7 + 317 - 321).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 79*l - 514. Does 3 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -14.4. Let b = t - 6. Let a = b - -1.7. What is the third biggest value in 2\/11, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-2)\/(-6) + -1). Suppose a + 6 = 5*x. Let z(s) = 10*s**3 - s**2 + 1. Let d be z(1). Solve -3*g + x + d = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2279 + 2279.4. What is the closest to 0.6 in 2, 0, l, -5\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.89143 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t - 36*t - t**3 - 11*t + 1 + 2 as g + c*t**2 + r*t**3 + q*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b + 2*r - r, 4*r - 11 = b. List the prime factors of (42*1)\/(b - -1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59807 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 318, 26237.\nAnswer: -3, 318, 26237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 2:46 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12*a*a)\/(a\/(a*a*a*a**(-14))) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54467502 and 3894?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46265 and 4870.\nAnswer: 92530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 16. Let w(r) be the first derivative of -r**2\/2 + r + 12. What is w(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1250))**2.\nAnswer: -150*sqrt(2) + 1259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2293347 - 0.162909\nAnswer: -2293347.162909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d3a (base 14) in base 16?\nAnswer: -1f98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -1 + sqrt(147)) - sqrt(147)) + 4)**2.\nAnswer: -140*sqrt(3) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.055, 2\/7, 2\/5 in decreasing order.\nAnswer: 2\/5, 2\/7, -0.055, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -184, -216?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124900 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 20*q**3 - 3*q**2 + q + 1. Let a be u(1). Suppose -2*f = 4*m + 104, m - 3*f + 0*f = -a. What is the third biggest value in 2\/3, 4\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 14541968*p**2 + 29083952*p.\nAnswer: -4*p*(p - 3635494)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 599190 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.1 + 37. Which is the fourth biggest value? (a) 1 (b) t (c) -3\/4 (d) 241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71446704 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 400, 386, 358, 310, 236?\n\"Answer: -b**3 - b**2 - 4*b + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/48 - -65\/24. What is the common denominator of x and -51\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63601214*a**2 + 750907773*a wrt a?\nAnswer: 127202428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2\/4 + 851*b\/4 + 841\/2 = 0. What is b?\nAnswer: -841\/5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4281 - -0.4281. What is the nearest to 30 in 2\/5, q, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.9 + 0.1. Let z = 29 - y. Let v = z + 19. Which is bigger: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + (-1 - -2) - (376 + -349)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3371 + -3361. Let z(x) be the first derivative of 0*x**5 + 4\/3*x**6 + 0*x + 0*x**2 - y + 0*x**4 + 14\/3*x**3. Find the third derivative of z(u) wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(-1)\/2*(-71 + 45) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - d = -2*c + 14, -8 = -c - 2*d. Suppose 0 = c*a + 3*g - 32, 20 = 2*a + 2*g + 6. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 10128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/38 and -34\/9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*c - 2*p + 10, -3*c - 3*p + 18 = 0. Suppose -r + 0*r = 0, 2*d + c*r = 44. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36907, 36909, 36909, 36907, 36903, 36897, 36889?\n\"Answer: -y**2 + 5*y + 36903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1780886?\nAnswer: 1780887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3784 is divided by 946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321\/7 + -1277\/28. Which is the nearest to -18? (a) -0.02 (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232.99 + -232. Let k = 0.01 + q. Which is the closest to -1? (a) k (b) 0.2 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = s - 26, -145*d + 149*d = s - 28. Let f = 9 + -5. Solve -8*a - s = -3*a + 5*n, -n + 16 = -f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(1\/6)))\/p**(1\/8)*p**(-6)*p**1*p assuming p is positive.\nAnswer: p**(-71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10385897*z**4 + 1297946*z + 3.\nAnswer: 124630764*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) + -3)*4.\nAnswer: -20*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/7 + 96\/28. Suppose -2*i - 3*i = 3*g + 19, -h*i - 30 = -5*g. Factor 8\/3 + 8*l + 6*l**g.\nAnswer: 2*(3*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -667, -3263, -8935, -18859, -34211, -56167?\nAnswer: -85903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(34769*w - 68450*w + 34884*w)*(w + 0*w + w).\nAnswer: -4812*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49672*p**2 - 12996 - 6754*p**4 - 1756*p**3 - 10332 - 80784*p + 6770*p**4 = 0.\nAnswer: -1\/4, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1213*o**2 + 5*o + 5. Let d(s) = 243*s**2 - s + 2. Let b(c) = -a(c) - 5*d(c). Let f(u) be the second derivative of u**4\/3 - u. What is f(b(w))?\nAnswer: 16*w**4 + 240*w**2 + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/70 and 69\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 28, -7, 7, 10 in ascending order.\nAnswer: -7, 7, 10, 28, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -180191224 divided by 45047806?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**9\/3780 - g**7\/2520 + g**4\/3 + g. Let d(u) be the third derivative of c(u). What is the third derivative of d(o) wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(3)*-6 + ((sqrt(3) + 1)*-4)**2.\nAnswer: 64 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(((((m**0\/m)\/m)\/m)\/m)\/m))\/m)**(1\/14)\/(m**(-5)*m*m**5*m*m*m) assuming m is positive.\nAnswer: m**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*i + 112*i + 3*h + 28 = 0, 0 = -3*i + 5*h + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2109\/4 - 528. Sort 4, 3\/11, w, -2.\nAnswer: -2, w, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-80)\/1396) - (-3)\/4. Let m be -2 + (y + -4 + 1 - 3). Let i be (-50)\/((m\/(-15))\/8). What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3 - 1 + g**2 - 3*g - 4 + 0. Let u be p(9). Let t = u - 48. Calculate the lowest common multiple of t and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 66?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -79*y**2 - 210*y + 34. Let w(r) = -28*r**2 - 70*r + 12. Let q(c) = 6*v(c) - 17*w(c). Let m(z) = -3*z**2. Determine q(m(b)).\nAnswer: 18*b**4 + 210*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/45 - 10324\/(-20).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let n(c) = 5*c - 5. Let h(s) = n(s) - 4*p(s). What are the prime factors of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1547.13 + -1547. Sort -0.1, -2\/15, -1, n, 0.2 in ascending order.\nAnswer: -1, -2\/15, -0.1, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3198760 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 36*x**2 - 33*x. Let r(q) = q**2 - q. Let h(k) = 2*o(k) - 66*r(k). Let i(l) = -3*l**2. Give h(i(n)).\nAnswer: 54*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2201 - -22?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 493320554 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**3 + w**2 - w - 3. Let q be p(-1). Which is the fifth biggest value? (a) 6 (b) 4 (c) -1.8 (d) q (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/24 + 2*p**3 - p**2. Let o be n(-9). Suppose -236 = -q - o*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c*v**6 - 44*c*v**3 + 2*c + 46*v**2 wrt v?\nAnswer: -480*c*v**3 - 264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.1 or -125?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65528 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 122?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7.7 times -1408\nAnswer: -10841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j - 315. Let n(c) = -46*c + 1733. Let o(t) = -4*n(t) - 22*x(t). Let z(v) = 40*v**2. What is o(z(h))?\nAnswer: -560*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 550*u + 4236 = -750. Let n(i) = -i**2 - 3*i + 19. Determine n(u).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1277 - 1273. Which is the biggest value? (a) 2 (b) -63 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5756?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/3)\/u))**22\/(u\/(u*u\/u**(-3))*u*u*u*u\/(u*u*u**4*u*u))*(u**(2\/5))**22\/(u**(-1\/6)\/u**(-2)) assuming u is positive.\nAnswer: u**(2209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -9\/5, 0.1, 1\/2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (231\/1386)\/((-15)\/2)*-6*1. Find l such that 0 + 16\/15*l + 2\/15*l**4 - v*l**2 - 16\/15*l**3 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**2 + 47052*w - 18820 = 0. Calculate w.\nAnswer: 2\/5, 9410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -655 + 660. Which is the nearest to 0.9? (a) 0.3 (b) 0.4 (c) o (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50764, -51438, -52112, -52786, -53460?\nAnswer: -54134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435037 is divided by 1026?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - g - 48 + 105 = 47, -3*g = -6*g - 0*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1152, 2129, 3106, 4083, 5060, 6037?\nAnswer: 7014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24215 = 51*n - 49684. Calculate the smallest common multiple of n and 45.\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 315999 or 316003?\nAnswer: 316003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-2 - -2)) + 0 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 28*r = 3, 6*t - t - 4*r = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 749503 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -947 - -5?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/10 - 5*i**4\/8 + 21*i**3 + 60*i**2. Factor k(j).\nAnswer: -3*(j + 6)*(2*j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5. Let z(r) = 2*r + 11. Determine 5*j(l) + 2*z(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-231)\/(-228) - (-3)\/(-7). Let j = h - 1\/76. Is -2\/9 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18002, 35984, 53966, 71948, 89930?\n\"Answer: 17982*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 846 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -7)*(-242)\/44?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 4. Let f be j(-4). Let m = f + 11. Let n(h) = h**3 + 10*h**2 + 8*h + 1. List the prime factors of n(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/120 + 325*i**5\/12 + 1935*i**3 - 130*i**2 - 14*i. What is the derivative of q(z) wrt z?\nAnswer: -3*z**2 + 3250*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -34*w**3 + w**2. Determine v(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 4. Let f be (-23)\/l + 3\/(-5). Suppose f*u = 6*u - 32. Calculate the lowest common multiple of 5 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569839, -569860, -569885, -569914, -569947?\nAnswer: -569984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -34. What is the smallest common multiple of 4 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -5*d**3\/2 - 43*d**2\/4 + 3*d + 2533. Suppose x(p) = 0. What is p?\nAnswer: -3, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285508 + 5430882\/19. Let v = u - 328. Let z = -65\/76 - v. What is the third smallest value in 0.1, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81381 - 47*g + 40689 + 18*g + 23*g + 40692.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/sqrt(2)*-4*-2 - sqrt(66)\/(sqrt(6) + 5*sqrt(96)))**2.\nAnswer: 306779\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)\/(((t*t\/(t**16\/t*t*t*t)*t*t)\/t)\/t)*(t*t**(-11)\/t)\/(t**16\/t) assuming t is positive.\nAnswer: t**(-132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/33*44\/66.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -19. What is the remainder when h is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12826, 25775, 38722, 51667, 64610, 77551?\nAnswer: 90490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let h be 10\/(-6) - 1\/(-1). Which is the nearest to -2\/5? (a) -3 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9494, 18982, 28468, 37952, 47434, 56914, 66392?\nAnswer: 75868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(1 + 0) - -7. Suppose 0 = -4*z + 4*s - g, 0 = -z + 3*s + s + 7. Let v = 57.548 + -57.148. Which is the closest to 11? (a) z (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1923 divided by 1.\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 n when four letters picked without replacement from {w: 1, r: 2, z: 2, u: 5, n: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-16)*y)\/y)\/y**(-18))\/(y\/y**(-5\/4)*y**(12\/5)) assuming y is positive.\nAnswer: y**(-53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972\/21 - (-8685)\/(-193).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 + -7c568?\nAnswer: -7c521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, 207, 974, 2495, 5028, 8831?\n\"Answer: 43*w**3 - 10*w**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 702\/7. Let q(k) = 2 + 2 - 1 - 2*k. Let h be q(3). What is the closest to p in h, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5890)\/30 + -4*12\/18. Are -203 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.0743 - 1.9256. Let i = -4 - -1. Let s = t - i. What is s rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-10720)\/1344 - -8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 - 114. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - 42 - (69 + -70) - 8) + 9.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18186407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 16) to base 11.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 1, d: 1, n: 1, b: 1}. What is prob of sequence nz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 568.19 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k = -175*k - 220 - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 4, w: 1, q: 2}. Give prob of sequence wk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 96. Suppose 3*o = -d + y, 3*o - 7*d - 66 = -2*d. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (378\/(-3024))\/(15\/(-880))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5 = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11481*j**3 + 4*j**2 - 23804*j**3 - j**2 + 11759*j**3.\nAnswer: -564*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-6) - (-19)\/57. Let z = 228.05 - 228. What is the third smallest value in z, y, -0.5, -4\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + 1. Let r = -19 + 21. Let v(w) = w**2 - w. Determine r*v(y) - s(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (-2 - -3) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(6*sqrt(153)*4 + sqrt(153) - sqrt(153))*1)\/(-2*sqrt(9)*-5 + sqrt(9) - 2*((sqrt(9) + sqrt(9)*-4 - sqrt(9)) + sqrt(9) + sqrt(9))))**2.\nAnswer: 9792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25563.956 + -25631. Let z = 67 + i. Round z to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 + 520. Let y = p - 15. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.322249 days in seconds?\nAnswer: 114242.3136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 276. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208074326.\nAnswer: 2, 104037163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010101010 + 11001011000?\nAnswer: 10100100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 398 or -5.3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:48 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*p - 19*p + 26*p)*(5 - 5 - 1) - p - 1 + 3 + 4 in the form g + t*p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, x: 3}. What is prob of picking 2 x and 2 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-10))\/(18\/60). Let v be 2\/t - (-53)\/2. Let w = 6.9 - 7. Which is smaller: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9910115?\nAnswer: 5, 19, 73, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 488417*k - 488511*k - 4794 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 51. Determine w(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/24 - (-7485)\/40 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493682 = -440*o + 261*o. Calculate the greatest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 72 + 432 = 0. Suppose 5*i - 16 = -j, -9*i = -6*i - 6. What is the least common multiple of 9\/3 + j*(-2)\/(-4) and t?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 90366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 258\/4*1446\/(-12)*28\/(-21). What is the greatest common factor of c and 482?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w\/(w**(2\/11)*w*w))))\/w**(3\/8))\/((w*w*w\/(w*w**(-2)))\/w)**(-10\/7))**33 assuming w is positive.\nAnswer: w**(6891\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 25410659*z - 25410654*z + 80, 0 = -11*i + z + 186 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttkiikiiiiiiitiit. Give prob of picking 2 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 51501*j - 35289540.\nAnswer: -3*(j + 715)*(j + 16452)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(37\/(305250\/3240) + (-3)\/11).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129742.935 + -126085.91679. Let g = o - 3657. Round g to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1543*l + 2209*l**2 - 2251*l**2 + 1543*l.\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-2 - -5) - -15. Suppose z - b = -14. Let g be (-18)\/(3 + z) - (-1 + -1). What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {x: 6, v: 1, f: 2, i: 2, z: 6, b: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/11 + 874*m + 839804\/11.\nAnswer: 2*(m + 89)*(m + 4718)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -13*o**6\/210 + 67*o**5\/140 - 31*o**4\/42 + 4*o**3\/21 + o - 13. Determine l so that b(l) = 0.\nAnswer: 0, 2\/13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:22 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:19 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41753\/23481 - -1\/2609. Let b = q + 1\/9. Sort -0.7, -1\/7, b in descending order.\nAnswer: -1\/7, -0.7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.417493977 + 0.4175. Round n to seven decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57\/38)\/((5589\/184)\/(-27))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -93\/8*u + 139\/4*u**2 + 3\/8*u**3 + 0 = 0.\nAnswer: -93, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u**2 - 117*u**2 - 62*u**2 as q + i*u + l*u**2 and give l.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-14)*(-203)\/(-58). Suppose 15*b + 593 = h + z*b, h - 575 = -4*b. Is 53 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybb when three letters picked without replacement from ybbyyyyy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 1459 + b - 1459 - b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/43492762 and 101\/130478286.\nAnswer: 130478286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-8 - (-5 + -2))) + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 201, 304?\n\"Answer: 103*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**3 + 2*t**2 + 2. Let w(p) = 22*p**3 + 7*p**2 + 7. Let f = -54 - -91. Suppose 2 = -5*r + f. What is r*b(s) - 2*w(s)?\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 37641 and 0.1.\nAnswer: 37641.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 4 + -1)\/1. Let u be w - (-3 - (-4 - -1)). Let i(t) = 4*t + 1. List the prime factors of i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*c + 2*c**2 + 62*c + 2*c**2 - 113*c + 5 + 20 to j + f*c + a*c**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48448.1 rounded to the nearest one hundred?\nAnswer: -48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9374 and 526.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738928515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-3)\/(-18)). Suppose p - 3 = z*l - 0, 4*l = -2*p + 6. Suppose -u - 7 = p*h, 2*u + 2*h + 0 = 2. Put 0, 6, u in increasing order.\nAnswer: 0, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -854.3 + 854.29901865. Round q to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 581 + 6 - (-1 - 2). Let s = y + -532. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x - 7. Let o(f) = -f**3 - f**2 + 3*f + 7. Let g(i) = 4*o(i) + 5*t(i). What is g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 865*m**4 + 284*m**3 + 9540*m**2 - m - 14?\nAnswer: 20760*m + 1704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2\/5*w**5 + 0*w**2 - 20*w + 10 + 2\/3*w**3 + 5\/2*w**4. What is the third derivative of v(y) wrt y?\nAnswer: 48*y + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b. Let q(a) be the second derivative of -9*a**4\/2 - 2*a - 62. Give q(l(n)).\nAnswer: -864*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 123\/(-2)*(-7)\/(21\/(-6)). Suppose -610 = -13*i + 18*i. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109487.\nAnswer: 7, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465219147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(28)\/sqrt(4)*-2))**2 - (6*(sqrt(2) + sqrt(2)*-1) + sqrt(2) + sqrt(20)\/(sqrt(10)*-2)).\nAnswer: -sqrt(2)\/2 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3737 + 3745. Let o be (-2)\/(((-8)\/14)\/2). Let s = 15 - o. What is the smallest common multiple of j and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291716, 291129, 290544, 289961, 289380, 288801, 288224?\nAnswer: 287649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 582794 divided by -118\nAnswer: -291397\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 - -11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113645 and 22610?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c + 2. Suppose 4*a = 4*d - 16, 4*a - 4 - 10 = -2*d. Let z(y) = -1 - 35 + y + 36. Calculate a*n(r) + 4*z(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 4*y + 2. Let a be g(-3). What is the tens digit of 74\/6 + a\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 3. Let k be l(5). Suppose -5*v + k = 82. What is the units digit of 4 - (-3 + 2 + v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a + 57*a**2 - 68 - 28*a**2 - 30*a**2 wrt a?\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**5\/110 - 5*f**4\/66 + 13*f**3\/33 + 1293*f**2 + 1. Factor x(r).\nAnswer: -2*(r - 1)*(3*r + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 - -11?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11075 + -11074.997591. Round i to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 535841 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/130 or -0.00484?\nAnswer: -0.00484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9637343 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 22 + 4*i - 5*i + 9 to j*i + t and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7132 and 32?\nAnswer: 57056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/3 (b) 3\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-9)\/((-9)\/4))*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4058586 and 61\/4509540?\nAnswer: 40585860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, l: 3, v: 4, t: 4}. Give prob of sequence llv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 0 - 23*k - 2\/9*k**3 + 1\/9*k**4 + 0*k**2. Solve c(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 21. Let z = 1 + -1.4. Which is the third biggest value? (a) j (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539829827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w = 44*w + 80*w + 166 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/40 - 2126\/6*(-13365)\/440?\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, m: 1, z: 1, l: 2, j: 2}. What is prob of sequence lr?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174915840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -4. Let o(i) = -12*i**2 - 12*i + m*i. Let g(j) be the second derivative of j**3\/2 - j - 17. Calculate g(o(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {f: 7, o: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 33*t + 28*t = 55, 0 = 5*t - 5. Sort -4, -1, o, -3 in ascending order.\nAnswer: -4, -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + -9 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69713730.\nAnswer: 2, 3, 5, 31, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -422 - -424. What is the second derivative of 841*r**n - 4 - 33*r - 1640*r**2 - 2*r**5 + 822*r**2 wrt r?\nAnswer: -40*r**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*i + 30. Suppose -i*w - 3*a - 31 = -23, -3*w + a = -10. Solve -5*g - 5*h + 10 = 0, 0*g = -4*g - w*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 u when three letters picked without replacement from {v: 4, u: 2, k: 1, x: 1, c: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 1)\/((-6)\/3814884). Let g = w - -6885116. Round g to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let g(r) = 58*r**2 - 2*r. Calculate g(u(o)).\nAnswer: 232*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122)\/(-1220)*(1620\/24)\/(-9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15052 is divided by 602.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 7*d**2 - 8*d - 3. Suppose 3*o + 2*w + 28 = 0, -4*o + 2*o = -4*w + 8. What is v(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*m + 84 - 28, 6 = 3*m. Suppose 5*l + 5*x + 15 + h = 0, 0 = l - 3*x + 16. Let j = l + 17. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76028 is divided by 526.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017202919 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*p + 24*p - 40*p - 17*p to h*p + j and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let c be l(-2). Let g be (c\/6)\/((-2)\/6). Is 3 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3610755000 to the nearest 1000000.\nAnswer: 3611000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -29404253?\nAnswer: 2940425.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 5 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and -66933.62003.\nAnswer: -66933.64003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52681033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9, u: 9}. What is prob of sequence kkuk?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*a + 65. Let c be a - -2*(-3)\/2. Let r(p) = c - p - p + p. Calculate r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 19*r + 46*r = 4*l + 68, 4*l = 15*r - 68 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 2*z + 2. Let n(w) = w**2 + w. Let f be n(-1). Suppose f*v - 2 = -v. Determine h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -8.6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (1 + -5 - (307 - 306)) - (0 - 19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*n - 36, -8*n + 54 = -3*n - 2*x. Solve -16 = 2*z - n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -19*c + 1. Suppose a + 5 = -0*a. Let z = 4 + a. What is the least common multiple of 12 and k(z)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 + 7*o - 8. Let l be d(6). Let c(g) = -g**3 - g**2 + 2*g + 2. Let t be c(l). Find i such that 3\/4*i**3 - 3\/4*i + 1\/2 - 1\/2*i**t = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -7, 2\/15, 1\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*k**2*u**2 - 90*k**2 - 472*k*u**2 - 2*k + 7*u**2 wrt k.\nAnswer: -242*u**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-20)\/((n**15*n)\/n)*n\/n**18*n\/(n**(-23)*n))**(-2\/13) assuming n is positive.\nAnswer: n**(58\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3.4. Let h = t - 2.5. Let d be (-8)\/(-14) + (102\/21)\/2. Sort d, h, 0.3 in increasing order.\nAnswer: h, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1909, -1910, -1911, -1912, -1913?\n\"Answer: -o - 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8301, -17878, -27455, -37032?\nAnswer: -46609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + z + 2*z - 6*z + z + 879.\nAnswer: 2*z + 879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d**3 - 5*d - 5. Let c(w) = -21*w**3 + 6*w + 6. Give -5*c(t) - 6*j(t).\nAnswer: -21*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 4*z**2 + 3*z - 5. Let n be j(-5). Let x = n + -4. Is (-98)\/(-1) + -1*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825180199 - 5*f + 2*f + 825180260.\nAnswer: -3*f + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-15 + (11 - 3) - -6) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 12) to base 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 746265, 746949, 747633, 748317, 749001, 749685?\n\"Answer: 684*d + 745581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 0.28. Let u = -0.1 + h. Let x = -695\/9 - -77. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 - 386*f + 386*f)*(f**2 - f**2 - f**2 + (-5*f + 5*f + f)*(-3*f + 2*f + 3*f) + (-2*f + 4*f - 3*f)*(16*f - 156 + 156)).\nAnswer: -105*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 677996 and 105545.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 5, k: 1, u: 3, m: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 + 4*s + 3. Let f = -9 + 11. Suppose -4*u - 12 = 5*b, 2*u = -f*u + b - 12. Let h(a) = -2*a**2 - 3*a - 2. What is u*h(n) - 2*r(n)?\nAnswer: 2*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(153) + sqrt(153) - sqrt(153))*-1)\/sqrt(9))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = 2*t - 5, 0 = -4*h + t + 77. Let w be h\/(-2)*2\/6. What are the prime factors of 45 + (-1)\/w*0?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 19020 + 19035 = -5*c, -2*y = 3*y - 5*c + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 35 = 0. Suppose 5 = f, 2*f + 10 = o*g - 2*g. Solve 3*p + 16 = k + k, 5*k = g*p + 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 3*o, 4*j - o + 27 - 7 - 11 = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 - -163.088. What is a rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q + 3. Let h be u(2). Suppose -h*k = -k - 264. What is the remainder when k is divided by (69\/(-115))\/((-1)\/30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**8\/1680 - d**5\/120 - d**3 - 3. Let q(m) be the third derivative of a(m). What is the second derivative of q(b) wrt b?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 + 6 = 0. Suppose -87 = -8*h - 47. Calculate the greatest common divisor of h and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 + 61)) + (-73 - -91)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.3, -0.3, -0.281?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49 - 1a0057?\nAnswer: -1a00a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -23*f**5\/20 - 7*f**3\/2 - 19*f. Find the second derivative of o(i) wrt i.\nAnswer: -138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, 4, 3, 5\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 28. Let r be ((-8)\/(-6))\/(2\/z). Calculate the highest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 19844 = -12124. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*b = 462, -2250 = -5*x + 44*b - 39*b. What are the prime factors of x?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 1 = -4*k - 8, -5*h = 4*k + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)\/u)**(3\/4)*(u**(3\/5)*u)\/u**(-6))\/((u\/u**1*u)**25*(u\/u**(-2\/3))**14) assuming u is positive.\nAnswer: u**(-4933\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -8*x**2 - 4\/9*x**3 - 22 - 48*x. Determine d so that r(d) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoocccczzcccccoz. Give prob of sequence ozz.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21223450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Let s(b) = -b**3 - 3*b**2 + 2*b - 4. Let h be s(-4). Suppose 3 = h*v - 5. Let p be (0 - 2)*(v - 1). Determine k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a = -273*a + 1899. Solve -a*x - 345 + 372 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 60497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6451598.\nAnswer: 2, 191, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 9*i - i. Let f be (-87)\/(-6)*i*2. Let n = f + 554. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*o = 9*o + 10, -3*j + 2*o = -13. Suppose -19533 = -3*t - 48*t. Let k(a) = -t*a + 7 - a**2 + 782*a - 395*a. Calculate k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -11, 35, 3, 1 in ascending order.\nAnswer: -11, 1, 3, 35, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (1550\/(-434) - (-8)\/14). Factor -8\/3*r**2 - 8\/3*r + 2\/3*r**3 + m + 2\/3*r**4.\nAnswer: 2*r*(r - 2)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -1.96. Let k = t - 0. Which is the nearest to 2? (a) -5 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 772 - 1047 - 430 - 155*m with respect to m.\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41*(-330)\/(-21648))\/(((-1)\/72)\/(-1))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348 + 574. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 4. Let q(s) = 2*s - 9. Let r = 23 + -14. Calculate r*f(t) + 4*q(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 10*x + 3*x - 2*x - 178 + 187.\nAnswer: 8*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.03 + 1.53. Suppose 2 + 3 = 5*o. Suppose -4*m = 99 - 79. What is the nearest to o in -1\/4, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 11*m**6\/120 + m**5\/5 - 4*m**2. Find the third derivative of p(i) wrt i.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 8\/3*m**3 + 1\/4*m**4 + 44 + 5*m + 4*m**2. What is i(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 - 3*h + 33. Let q(b) = 7*b**3 + b**2 - 3*b + 34. Give 3*c(t) - 2*q(t).\nAnswer: t**3 - 2*t**2 - 3*t + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 4\/5, 0.3, 3\/4, 101.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 924 and 4956.\nAnswer: 54516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((52\/156)\/((-343)\/3))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 3. Let j(f) = f**2 - f + 1. Let q(g) = g**2 + 6*g + 11. Let b(z) = -5*j(z) - q(z). Calculate 2*b(p) + 11*l(p).\nAnswer: -p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24483137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 14*x + 309. Let u be o(-12). Let l = -0.29 + 1.29. Which is the nearest to l? (a) u (b) 1\/2 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*19\/893*-2.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. What is the remainder when (7 - 1)*(3 + y) is divided by (-1)\/4 + 34\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c**4 + 253*c**3 - 5*c**2 + 26*c - 30626190.\nAnswer: 24*c**3 + 759*c**2 - 10*c + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 35 = 5*r, -6*f + 74*r - 72*r = 58 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -211*o - 7809. What is the remainder when r(-41) is divided by 114?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 0 = -4*p - 2*z + 14 + 12, 3*p = 5*z - 13. Solve t - p*r + 10 = -2, 28 = n*t + 4*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 88 + 10*i - 144.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13271034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 7) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 23. Give a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 12423042520?\nAnswer: 12423042523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 651.2 + -651. Which is the third smallest value? (a) -5 (b) -3 (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4618 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 315689713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - 4*r**2)*(31 + 106 + 512)*(-4*r**2 - r**2 + 2*r**2).\nAnswer: 1947*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.39?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1185*f**2 - 4*f - 1151. Let j(s) = -1185*s**2 - 5*s - 1152. Let o(n) = -4*j(n) + 5*k(n). Differentiate o(p) wrt p.\nAnswer: -2370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeabbdi. Give prob of picking 1 e, 1 o, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.138 * 468.\nAnswer: 64.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23746991.\nAnswer: 1223, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 11 = -2*u + v, -2*u - 4*v + 22 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 996 * -0.4\nAnswer: -398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2604, -2690, -2776, -2862, -2948?\n\"Answer: -86*p - 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 723.57, 77, 4, 2 in descending order.\nAnswer: 723.57, 77, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183*j**2 + 2*j + 420 with respect to j.\nAnswer: 366*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 - 3*a + 33. What is the remainder when 373 is divided by m(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -84*v**3 - 15*v**2 - 15. Let t(u) = 12*u**3 + 2*u**2 + 2. Calculate -2*o(d) - 15*t(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -373586 and 0.507.\nAnswer: -373585.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 1. Let r be q(-1). Let d = -45 - -15. Is 4*(r + d\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 26*i = -9*i - 290 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 12. Let v be c(8). Suppose 4*i = -v*u - 6 - 14, -u = -5*i - 19. Let s be ((i - -1) + 3)\/1. Solve s = d - b - 6, -5*d = -b + 3*b + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1916688 and 19\/2735?\nAnswer: 9583440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*p - 4*p + 24, 3*i = 3*p - 18. Solve p*t**2 - 2*t**4 - t**2 + t**2 - 17*t + 13*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082 at least -1079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 412063*n - 228016?\nAnswer: 412063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158289324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -60344525\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let c(n) = 6*n**2 - 4*n + 4. Let g(i) = -5*i**2 + 3*i - 4. Let m(u) = -6*c(u) - 7*g(u). Give m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/(p*p*p**(1\/6)))\/(p**0*p*p\/((p*(p**4\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67149221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 7*d**2 - 2*d - 6. Let o = 13 - 8. Let k be z(o). What are the prime factors of (2 - 3) + 3 + k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 350.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -8 - 4. Let t(d) = -10*d**3 + 2*d**2 - 4*d - 1. Let v be t(b). Calculate the highest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -14. Let s be -10 + (-9)\/12 + 3\/(-12). Put t, -5, s in decreasing order.\nAnswer: t, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 3. Let h(b) be the second derivative of b**3\/2 - 9*b**2\/2 + 71*b. What is -4*h(a) - 11*k(a)?\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30356096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 2*c**2 - 4*c + 1. Let g(l) = -13*l**2 + 6*l**3 - 1 + 3*l + 0*l + 2*l + 11*l**2. Calculate 4*g(w) + 5*o(w).\nAnswer: -w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.1. Let r(o) = o**3 + o**2 - o + 8. Let u be r(0). Let i be 14\/u*-2 - -1. What is the smallest value in i, f, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 - 15*l - 22. Let q be g(9). Let b = 2500 - q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + 5 + -4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -159712 divided by -7\nAnswer: 22816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*v + 212*v + 33*v**3 - 32*v**3 - 387*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -22474.\nAnswer: -22476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -26. Let h be g*(129\/(-42) + 3). Which is the smallest value? (a) 0.4 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 140 = 0, 104 = 184*x - 182*x - 4*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5*s = 872 - 897, 6 = 4*g + 3*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 36637 = -d, -17086 + 46383 = 4*y + d. Does 66 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5671*i**5 - 3*i**3 - 2342*i.\nAnswer: -113420*i**3 - 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 73*x**2 - 201*x - 238. Calculate r(-39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -61035.891 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167261 - 1140501 = 223*r for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, b: 1, k: 2, f: 2, w: 2, l: 2}. Give prob of sequence wl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 11*b + 0*b**2 + 0 + 7\/24*b**3 - 1\/48*b**4. Solve g(c) = 0 for c.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g - 67. Give s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 1) + -1)\/(-2). Suppose 4*f - 4 + 12 = a. Let l = f - -7. Sort l, 4, 3 in descending order.\nAnswer: l, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 6 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*7\/21)\/(1\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 18 - 2*u**2 - 1702*u + 199*u - 946*u + 109*u.\nAnswer: -2*u**2 - 2340*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*f**2 - 7*f**2 + 26*f**2 + 17*f**2 - 59*f**2.\nAnswer: 169*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:12 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*c + 5*g - 40, 0 = c + g - 6. Let z be (c\/(-2))\/(24\/336). Let h(j) be the second derivative of j**4\/12 + 3*j**3\/2 + 5*j**2 + j. Give h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/(6\/9). Suppose 2*f + v*f = 3*i - 7, -10 = 5*f - 4*i. Solve 2*a - 6 + 0 = -f*j, 4*a - j = 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuk when three letters picked without replacement from {u: 1, k: 1, t: 1, y: 5, g: 3, o: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 6 = 2*w + 23*a - 1, -3*a - 8 = 7*w - 12*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.03 + -0.03. Suppose 3*r - 7*r = -2*g + 4, 2*r = 0. Let m be g*((-19)\/9 + 2). Sort p, 3, m in ascending order.\nAnswer: m, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4300624?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14043.\nAnswer: 3, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 5. Let q(z) = 1. Determine l(m) - 4*q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -1589, -5766, -13899, -27308?\nAnswer: -47313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 19*g**3 + g**2 - 2*g + 2. Let b be i(1). Suppose s - 24 = b. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 1250.\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 - 32691*s**3 + 75154230*s**2 + 216133816476*s - 745695835281768 = 0.\nAnswer: -2681, 4526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 8*v + 11. Let w be q(8). Let m = 8 - w. Let b = 19 - m. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 4*b**2 - 6*b + 9. Let g be o(5). Solve 3 = 3*x - 4*u - 4, -2*x + 2 = -g*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 2. Let b(o) = o - 1. Let h(w) = -9*w + 6. Let l(d) = -5*b(d) - h(d). Calculate the lowest common multiple of l(2) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2\/7*v**5 + 2\/7*v**2 + 0 - 4\/7*v + 6\/7*v**3 - 2\/7*v**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, 63 in increasing order.\nAnswer: 0.1, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 76*l**2. Let f be (-2)\/((-288)\/(-148) + -2). Let n(u) = -72*u + 37*u + f*u. Determine n(i(w)).\nAnswer: 152*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 521956?\nAnswer: 521946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/2 + -13\/6. Let s = 1.95 - 1.45. Put 2\/9, s, 13, x in decreasing order.\nAnswer: 13, s, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 9. Suppose -6 - a = -3*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22402 times 0.1\nAnswer: -2240.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32030323020 - 102?\nAnswer: 32030322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2979 by -26495.\nAnswer: -2979\/26495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*a + 111, 7 = -5*a - 8. Let l = -258 - q. Let t = -116 - l. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 0*i = 4*i, 3*q = 3*i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 1000331?\nAnswer: -1000411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 424800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.02006l in millilitres?\nAnswer: 99020.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233.8 + 233.800009062. Round m to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/12 - 8*j**3\/3 + 9*j**2\/2 - 91*j + 32. Let i(g) be the first derivative of l(g). Give i(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459624.\nAnswer: 2, 182453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:52 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124509?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - k - 4*k + 6*k - 101 = -k + 3*k, -43*k + 197 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 - 3*s - 3. Let j(h) = -h**2 + h + 1. What is -j(p) - r(p)?\nAnswer: p**3 - 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - -1 - 4265\/1650. Let x be 2\/6*(-2)\/44. Let c = x + w. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90474508 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 6*k - 11*k. Suppose -3*n - 2*y = -n - 308, 2*y - 2 = k. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5\/4 + 512205*g**4 + 6146337*g**3\/4 - 16390443*g**2 + 30732141*g - 16390488 = 0.\nAnswer: -682937, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20 - 3*f + 9*f - 1. Suppose 4*w + 5*q - 20 = 0, -7*w + 46 = -4*w - 4*q. What is the tens digit of z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 2\/7, 0.3, 2\/3, -2\/7, -305?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 14. Determine s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.98 - 9. Let g = -0.22 - h. Sort g, 2, 0.2.\nAnswer: g, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215 - 199. Suppose -4*o = 4*i - 676, 21 = -i + l. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75929?\nAnswer: 7, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4563 = -4*z + 2*g + 17549, -3*g - 6503 = -2*z. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6842459\/378 - 18102. Find the common denominator of 73\/270 and o.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59759.\nAnswer: 7, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -282\/7, -1\/5, 9, 2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13597 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18520923.\nAnswer: 3, 6173641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4176)\/2094 - (-6 + (11 - 2 - 5)). Which is the fourth biggest value? (a) w (b) -2\/7 (c) -0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 24. Suppose x = 4*m + 4. Suppose -74*c + 4*c - 13*c + 249 = 0. Solve -2*i = -c*j - 5, m*i - 2*j - 14 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -46.8, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2742346 - -1284775. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2460, -2467, -2476, -2487, -2500, -2515, -2532?\nAnswer: -2551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -28, 5, 7, -3, -80 in descending order.\nAnswer: 7, 5, 4, -3, -5, -28, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -38. List the prime factors of (11 - 13)*t\/(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18271 (base 9) to base 3\nAnswer: -122022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49000 by -175.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 - 4*b**2 - 49*b + 219. Calculate f(6).\nAnswer: 645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1191015, 2382027, 3573039, 4764051?\n\"Answer: 1191012*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - 2) + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385 take away 0.3271?\nAnswer: 2384.6729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 37*u + 738 = -39*u, 3*u = 5*j - 3676. Calculate the remainder when j is divided by 270.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -a8bbedc?\nAnswer: a8bbee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*h = -6*h + 28, 0 = -k + 4*h - 11. Solve 9*v - 14*v - k = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/5*q**5 + 0 + 3\/2*q**2 + q + 0*q**3 + 1\/4*q**4. Let u(d) = d**3 + d**2 + 1. What is -f(i) + 3*u(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17636 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 508*l**3 + l**2 - 6*l + 1. Let i be m(-3). Round i to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104141.\nAnswer: 3, 41, 61, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) - sqrt(624)*2*-6)\/((sqrt(12) - sqrt(192))*5))\/(4*sqrt(4)*1 + sqrt(12)\/(sqrt(18)\/sqrt(6))).\nAnswer: -13*sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 1\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1605, -3999, -6379, -8739, -11073, -13375?\n\"Answer: n**3 + n**2 - 2404*n + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 347, -4, 17, -27, 4 in descending order.\nAnswer: 347, 17, 4, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 72650287 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/25*(-20)\/(-2). Suppose 0 = 3*y - 0*k - k, 5*y - t*k = 7. Is (-140)\/(-4)*y\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:31 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/19 + (-1332)\/(-342). Suppose -v - 4 = 2*p - 3*p, -7 = -3*p + g*v. Let j be (-4)\/3*(-132)\/8. Solve 5*b + j = 3*k + k, p = 3*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 29 = 26*i. Suppose 2*j + 7 = -2*s + i, 3*j + 5*s - 37 = 0. What is the remainder when j is divided by (-3)\/(-2)*20\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfg when three letters picked without replacement from rmfrfgfgvgfrggrf.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 172 and 174 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*v**2*y + 7*c**2*y**2 - 197*c**2*y + 8014*c*v*y + 705078*v**2*y**2 - v**2*y + v + y**2 wrt y.\nAnswer: 14*c**2 + 1410156*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5322873 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-1)\/((-3)\/(-15)). Let j(t) = t**2 + 7*t + 18. Let q be j(s). Calculate the highest common divisor of q and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h + 16\/5*h**3 + 32\/5*h**4 + 0 + 2\/5*h**2 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 210046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 91 = 5. Suppose 3*p - 76 = -y. Calculate the smallest common multiple of p and 90\/8 - 3\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*q - 11, -g - 10*q + 8*q = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikiiiikkii. What is prob of picking 3 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 16974?\nAnswer: 5\/16974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3\/2 + (-90)\/(-140).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -304\/847 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4997, -4762, -4245, -3344, -1957, 18?\n\"Answer: 17*n**3 + 39*n**2 - n - 5052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(28\/8 - 4). Suppose l*w + 7 = 10. Suppose -t - 4 = -2*z, 0 = 4*t - 3*z + 2 - w. Solve -t*r = 8 - 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:54 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25661052 (base 7) to base 3.\nAnswer: -11102102220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2621*h + 71*h**3 + 2620*h - 5241*h - 76*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 + -227. Suppose -j + 8 = -h. Suppose 10 + 5 = 3*d. Solve 0*n = d*n - j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 12*n = -5*l - 17 + 37, -n - 16 = -4*l - 0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*sqrt(17)*-3 - sqrt(136)\/sqrt(72)))**2.\nAnswer: -38*sqrt(17) + 6218\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -6. Suppose 4*r = 6*r - f. Solve 11 = -h - r*w - 10, -5*h - 5*w - 45 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46326620 a multiple of 3033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1590168, 1590178, 1590188, 1590198, 1590208, 1590218?\n\"Answer: 10*c + 1590158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**2 - 45942297*b + 9188460.\nAnswer: -3*(b + 3062820)*(5*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*o**2 + 7557 - 7555 - 4074*o**2.\nAnswer: -2677*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjpjpypjjp. What is prob of sequence jjp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsx when four letters picked without replacement from {x: 6, y: 1, m: 2, s: 1, h: 2, n: 8}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**4\/12 + 17*x + 17. Let f(t) = -996*t. Calculate f(r(o)).\nAnswer: -996*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.98387l in millilitres?\nAnswer: 36983.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z - 6*z - 5*z + 1 - 1 + 2*z + (-2 + 3 + 0)*(-3*z + 0*z + 5*z) + 2*z - 3 + 3 + 0*z - z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-16)\/(-40)*50.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/(-31) + -8 + (4 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-12)*(-18)\/16. Suppose 0*g - 2*m - 28 = -4*g, -5*g - m = -21. Suppose -2*c - 3*r + 5 = 0, 25 - 6 = -2*c + g*r. Sort -3\/8, c, b in decreasing order.\nAnswer: b, -3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -405.1 - -439. Let s = -33.89478 + m. What is s rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*(q*q**(-9))\/q)*q))**(3\/7)\/(q**(2\/19))**43 assuming q is positive.\nAnswer: q**(-1115\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7696 + 641. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfxzqqn. What is prob of sequence qfz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/5*q**2 - 2\/5*q - 1\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 4085*n + 16 - 4082*n)*(n**2 - n**2 - n**3).\nAnswer: -3*n**4 - 43*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82990 is divided by 312.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*q - 20 + 65, 0 = 2*q + 10. Solve o + 2 = -4*b - 4*o, 3*b - p*o - 16 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1586539480 is divided by 1254?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**2 + 8*r. Let w(n) = -9*n**2 - 5*n. Let j(m) = 5*p(m) + 8*w(m). Let l(v) be the first derivative of v**2 - 8. Determine j(l(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 119713720 divided by -305?\nAnswer: -392504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/19 - 84*s\/19 = 0.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -234034 + 1aa?\nAnswer: -233935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -34 - (22 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(-4\/5))*(l**(-10)\/l)\/l)\/(l**(-4\/9)\/(l\/l**(-11))) assuming l is positive.\nAnswer: l**(29\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06972 * -12.\nAnswer: -0.83664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/4 - -6) + 22\/60?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -512983080*h**3 + 3*h + 44840661?\nAnswer: -3077898480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/360 + n**4\/8 + 2*n**2. Let h(d) be the second derivative of o(d). Let i(k) = k. Give i(h(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {a: 1, r: 3, x: 6, u: 2, h: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-493)\/(-476) - 3\/4)*7. Suppose 0 = -3*b - k*b + 10. Solve b*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*v*x*z - 2*a*v*x - 73332*a*x**2 + 2*v*x**2*z - 43*v*x + 1337*x**2*z wrt a.\nAnswer: -2*v*x*z - 2*v*x - 73332*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 70, 282, 636, 1132, 1770, 2550?\n\"Answer: 71*q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**5 - 11*y. Let g(v) = -4*v + 20. Let i be g(6). Let z(l) = -4*l**5 + 11*l. Let q(t) = i*z(t) - 3*j(t). Find the second derivative of q(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211866619 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 237220676 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 9. Let u be q(-6). Let i(c) = -4*c**u + 5*c**3 - 2*c + 0*c. What is the smallest common multiple of i(2) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q. Let f(x) = 5*x - 16. Let i = 16 - 9. Let c be f(i). Let w(z) = -c - z + 19. What is w(a(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 4. Let c be ((-36)\/(-30))\/(2\/(-10)). Let h be v(c). Does 14 divide (-1)\/(2\/h*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xkiqkkqxxqkkqkkxmkk?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r = -74*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -140, -138, -134, -128, -120, -110, -98?\n\"Answer: q**2 - q - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 293233 and -1702042.\nAnswer: -1408809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28746 + 145?\nAnswer: 28890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 7*g**3\/3 - 5*g**2 - 1058*g - 676. Find the first derivative of r(d) wrt d.\nAnswer: 14*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4299296021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-83 - -174) - 51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/140067 and 62\/99?\nAnswer: 1540737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 25180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**3 + 78*u**2 + 32*u - 478. Calculate o(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:51 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 90 = 2*r - u, 4*r - u - 15 = 0. Let d(v) = v**3 + v**2 - 2*v - 1. Let s be d(-2). Sort s, -19, r in decreasing order.\nAnswer: r, s, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 21 + 19 = -3*m, 4 = m - 2*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(1100) - sqrt(1100) - sqrt(1100))**2 + sqrt(1100) + -1.\nAnswer: 10*sqrt(11) + 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 34. Let v be b(-31). What is the highest common factor of v and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980 = 167*g - 27*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/3)\/b)\/b*b*b**12)\/(b**0)**(-44) assuming b is positive.\nAnswer: b**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575 by -35956.\nAnswer: -575\/35956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7\/60*z**5 + 0*z**6 + 0*z**3 + 6*z**2 + 0 + 0*z + 1\/48*z**8 + 0*z**4 + 0*z**7. What is the third derivative of c(b) wrt b?\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 29 = w, -11*w = -4*y - 21*w - 18 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 198 and 192 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + 5 - 9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/60 + s**4\/12 + s**3\/6 - 3*s**2. Factor u(r).\nAnswer: (r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/12 - d**3\/3 - d**2\/2 - 17*d - 76. Let o(p) be the first derivative of c(p). Calculate o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 3*h**2 - 3*h + 5*h - 5*h**2 - 4*h to w + b*h**2 + f*h**3 + p*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2881, -11458, -25751, -45754, -71461?\n\"Answer: p**3 - 2864*p**2 + 8*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145.80892 + 111.191988. Let d = -257 + y. What is d rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -13. Let u = n - -8. What is the third smallest value in u, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*a + 9 = 0, -3*a = 8 + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -271*m - 971. What is the tens digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3808 and 551852?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (0 - (-1 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(3\/((-18)\/6))\/(-2))\/(330\/(-3036)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.3 (b) 1\/3 (c) 4\/3 (d) -7 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 1. Let w(q) = 6*q**2. Let n(h) = -6*t(h) - 2*w(h). Find the first derivative of n(v) wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/222 and 53\/1962.\nAnswer: 72594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -81677.346?\nAnswer: 81669.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 48 = -4*m + 4*z, 3*m + z = 23. Let u be 89 - 6\/m*-3. Let v = u - 57. What is the highest common factor of 85 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251, 1244, 1233, 1218, 1199, 1176?\nAnswer: 1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/70 + 55*z**4\/14 + 2125*z**3\/7 - 36125*z**2\/7 - 24*z - 3. Factor v(f).\nAnswer: 2*(f - 5)*(f + 85)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 13. Suppose 0 = u*q - 5*n + n - 323, -2*n = 4*q - 274. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(13) + 3 + sqrt(52))**2 - sqrt(130)\/(sqrt(10) + sqrt(30)\/sqrt(3))) + (sqrt(130)\/(-5*2*sqrt(10)))**2)*-1.\nAnswer: -12913\/100 - 35*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 6:33 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 2500?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -168476*l**2. Let x(k) = -605*k. What is p(x(f))?\nAnswer: -61666427900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 9*t - 5. Let v be p(4). What is the highest common divisor of v and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-231)\/(-44)) + (-18)\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 0.5 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {h: 2, a: 1, r: 4, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -5, -2\/357, 0.443 in decreasing order.\nAnswer: 4, 0.443, -2\/357, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55950*q**2 - 1 + 3*q**3 - 2*q - 27977*q**2 - 27978*q**2 + q**4 to the form f*q**3 + w*q**4 + n*q + y*q**2 + z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t**2 + 59*t + 3. What is the units digit of b(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 37 - 13. Find the third derivative of -4*s**6 + 79*s**2 - 323*s**c + 323*s**3 - 11*s**6 wrt s.\nAnswer: -1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from afnftafatpfffntadt.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*c + 28 - 4, 0 = 3*x - 2*c - 20. Calculate the remainder when 13 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905100499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42849 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/2*m + 1\/2*m**2 - 6 = 0 for m.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0238161 - 209754\nAnswer: -209754.0238161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 16. Let b be f(9). Solve 5*n + b = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 + -451\/2. What is the second biggest value in s, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/275*(-15)\/42\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/603036 and -11\/952.\nAnswer: 20503224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 13*c**2 + 5*c. Let k be p(-6). Let x(w) = 4*w**3 + 5*w**2 + 11. Let b(h) = 0*h - 3*h**2 + 0*h - 6 - 2*h**3. Determine k*x(q) + 11*b(q).\nAnswer: 2*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 17, 25, 33?\n\"Answer: 8*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -83, -35, -360 in increasing order.\nAnswer: -360, -83, -35, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -920156*c**2 - 2342304 wrt c?\nAnswer: -1840312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1432 and 2390008.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 - 51404*a\/7 + 660592804\/7.\nAnswer: (a - 25702)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 8*b**3 + 23*b**2 - 28*b + 12.\nAnswer: (b - 3)*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b6a4 (base 16) to base 10.\nAnswer: 243364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5 + 705*f**4 - 33141*f**3 - 1002297*f**2 - 1902336*f - 933888 = 0.\nAnswer: -19, -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 158583828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -127. Suppose -r*s = -37*s + 10432. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*z + 5*d, -z + 2*d - 10 = 5*d. Let i be z\/(-2) + (-1)\/2. Suppose 0 = 5*g - l - 166, -2*l = -i*l - 8. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1. Let x = -2\/101 - -216\/707. Which is the smallest value? (a) -2\/27 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -r - r, 0 = -m + r. Find the common denominator of 1\/11 and (60 - 1)*m\/9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2 + 3*p - 6 - 1 + 2. Let m(f) be the second derivative of -f**3\/3 + f**2 - 2*f. Determine 3*g(v) + 5*m(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156846 + 2762303. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18770411 to the nearest integer?\nAnswer: 4332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17023672 (base 8) to base 16.\nAnswer: -3c27ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5211 is divided by (7 + 2120\/(-32))\/((-6)\/16).\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((15 - -5) + (-44 - -9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 6 - (3 - (-4 - -13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 1 (b) -59 (c) 0.3 (d) 5 (e) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7642 - -211. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = -2*i, 2*b + 2*i + 18 = 8. Let x(t) = -3*t + 4. Let d(p) be the first derivative of -2*p**2 + 5*p - 8. Give b*d(r) + 6*x(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119231143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -22. Let a = z + 19. Solve -3*j - 3*r + a = 0, 5*r - 19 = -2*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1474.31556ms to days.\nAnswer: 0.0000170638375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.942 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-1\/26)))\/(c**(-6\/11)*c))\/((c\/c**(-2\/7))\/c*c*c**(-4\/13)) assuming c is positive.\nAnswer: c**(-2945\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, -2, -0.2, -1\/4, -737, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 57. Suppose i*f - 29 = -5. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*q - 18*q + 168. Suppose 5*k = m + 3 - q, 5 = 5*m - 4*k. Suppose 0*z = z. Solve z = -t - 2*v + 5, -3*t - m = -4*t + 2*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qzqzqqqqqqqzqqzqqz.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6886 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 7*y**2 + 13*y. Let r be w(4). Solve -4 - 4 = -r*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12162*q**3 - 6079*q**3 - 6082*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36 and 1320.\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195142611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -196, -275, -336, -373?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5 - 265 = 0. Let r = -97 - s. What is the remainder when 75 is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28395)\/(-22085) + 1 + (-130)\/63. Factor -10\/9*s - 2\/3*s**2 + 2\/9*s**3 + h*s**4 - 4\/9.\nAnswer: 2*(s - 2)*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 9 - (-12 - -14). Put 37, -2, g in decreasing order.\nAnswer: 37, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4266*k + 24627. Give f(-6).\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smnsosmwwwwi. What is prob of sequence mm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2552, 0.3, 10, 0.5, 2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2572, -5120, -7668, -10216?\nAnswer: -12764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091*w + 963*w = 423*w - 79919 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23101, -23086, -23069, -23050, -23029, -23006?\n\"Answer: y**2 + 12*y - 23114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9684020 divided by -484201\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2\/8*-2). What is the closest to 1 in -7, -2\/5, n, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*c - 6*r = 280*c + 52674, 5*c - r - 87844 = 0. Calculate the greatest common divisor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 47 + (-48 - -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*p - 193*p - 70420 = 935*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/8320 and -5\/16.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000000110 (base 2) in base 3?\nAnswer: -2010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:31 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-1)\/(-1)*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2119 - -4886. Suppose o = 5*s - 8. What are the prime factors of s?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, -49\/6, -2\/137, -1\/5?\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - -33.6. Let r = -38.3 + b. Let o = r - -4.2905. Round o to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*u + 4*u. What is the common denominator of (-1)\/4*(-174)\/(-1) and (-82)\/(-4)*u\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 132\/5*((-204)\/(-18) + -8). Suppose 3*o = -4*p + 105 + 16, 0 = -5*p - 5*o + 155. Let j be w\/p + (-1)\/7. Solve 0 - j = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49812.15kg in tonnes?\nAnswer: 49.81215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than -138013.2174?\nAnswer: -137999.2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11178176 to the power of 1\/2, to the nearest integer?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 363. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631362984 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2582, 2, -1, 4, -4 in ascending order.\nAnswer: -2582, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h + 70*h + 1008 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000391003 to 7 decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000472541 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*h**2 - 3)*(7*h + 2*h - 3*h) - 18 + 11 - 2*h - 1 + 2*h**2 - 5*h**3 in the form c*h + w*h**2 + i + a*h**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 440 (c) 2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59\/2 + 117\/4*f - 1\/4*f**2.\nAnswer: -(f - 118)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-32)*v)**(-3\/14) assuming v is positive.\nAnswer: v**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88023*j**6*y - j**4*y + 17896*j**2*y + 2*j**2 - j - y wrt j?\nAnswer: -10562760*j**3*y - 24*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(85)\/sqrt(5)*1) + sqrt(153)\/(sqrt(81)*3) + -4.\nAnswer: -6 + 19*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10984 and 452?\nAnswer: 1241192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from gggcw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -2*t + 23, 51 - 45 = -2*f + 3*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 2*g**2 - 2*g + 1. Let c(l) = -l + 7. Let q be c(6). Let a be ((0 - 0) + 1)*q. What is the remainder when 2 is divided by u(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*b**3*y**2*z - 10*b**3*y*z - b**2*y**2*z + 2*b**2*y - 2*b*y**2 + b*y*z wrt y?\nAnswer: -306*b**3*z - 2*b**2*z - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10548480 less than or equal to -10548478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:49 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z + 2*b - 54, 5*b + 17 = 2*z. Suppose 0 = -3*m - d + 188, m - 3*d - 242 = -3*m. What is the remainder when m is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000883396107 rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.289985 hours?\nAnswer: 1043946000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -184*k + 170*k. Let s(b) = 3*b - 39. Let h(l) = 2*l - 20. What is k*h(c) - 4*s(c)?\nAnswer: 2*c + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.73532 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:56 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 4. Let o(m) = 2*m - 6458. What is o(h(d))?\nAnswer: -4*d - 6466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 h, and 1 p when four letters picked without replacement from mhphhhkpkhmphrhkhhh?\nAnswer: 135\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912877177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 2. Let j be f(2). Let s = 298 + -297. Solve -5 = j*r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 857745*v**3 - 3*v**2 + 3*v - 23689714.\nAnswer: 2573235*v**2 - 6*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*j - 1696 - 4121 = 1047 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*q*w**4 - c*q*w**3 - 2*c*q*w**2 + c*w**2 + c - 8*q*w**3 - 5*q*w**2 wrt w.\nAnswer: 48*c*q*w - 6*c*q - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14022 equal to -182304\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355336.373 rounded to the nearest one hundred?\nAnswer: 355300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 10. Let w be 14\/h + (-1 - -37). What is the greatest common divisor of w and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/9346158 and 61\/346154?\nAnswer: 9346158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 9. Let n(v) = 4*v - 10. Give -4*b(a) - 5*n(a).\nAnswer: -4*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) + (-2 - -6). Suppose 0*h = -3*h + 15. Suppose 10 = h*l - q. Solve 0*m = -l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (682*p + 642*p - 1383*p)*(-2*p - 3 - 2 + 4) to the form i*p**2 + c*p + r and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*y + 47*y + 2*y**3 + 50*y - 4 + 4*y**4 as t*y**4 + q*y**2 + u*y + i + j*y**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -72*l + 280. Let j be h(3). What is the greatest common factor of 12 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441750 and 54?\nAnswer: 3975750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 261\/54 + 1\/6. Suppose -5*b - l = 4*j, -5*b = -j + 6 - 1. Find the second derivative of -7*y**5 + j*y**5 + y**5 - 7*y + 15*y wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**3 + 1 + o**2 - 1 - o. Suppose -3*q + 5 = -7. Let x(w) = -w - 1. Give q*x(p) + r(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-28) + 116\/28. Solve -z*h - 5 - 3 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2141 rounded to 2 decimal places?\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 868. Suppose 0 = 5*s - 136 - k. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**5\/150 + w**4\/10 + 3*w**3\/5 + w**2. Factor o(a).\nAnswer: 2*(a + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39173*k**4*x + 2*k**4 + k**3*x + 5*k**3 + 1152*k**2*x + k**2 - 4*k*x + 7*k + x wrt k.\nAnswer: 940152*k*x + 48*k + 6*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-36) + (-8)\/1 + 2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12851, -12848, -12845, -12842?\nAnswer: -12839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*r + 7924238 + 5531901 = 274139. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 2.753?\nAnswer: -19.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 670391 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-237)\/1185*80\/(-1*2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 10*w - 10. Let k = 318 + -315. Let n(u) = -1 - 2*u + 5*u - u**2 + 4. Calculate k*h(a) + 10*n(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41422480*d**2*p**2 - 59838*d**2*p + 54*d**2 + 2*p wrt p.\nAnswer: -82844960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -10) + 7 + -45 + 3 + 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 6 = 23*i - 17*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-2 - -3)\/2). Suppose 0 = 7*k - 143 + 17. Suppose -c*i + k = -60. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmamam. What is prob of sequence mmma?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 206 - -114410?\nAnswer: 114616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -413, -2, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221704*s - 2856 = 221620*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 6, g: 3, z: 2}. What is prob of sequence gz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/41, 20\/7, -3, 4\/79, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -165, -2\/11, 2\/13, 8209?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 0*a**4 - a**4 + (-47 + 47 - 12*a**2)*(-a**2 - 2*a**2 + a**2) + (-3*a**2 + 2*a**2 - a**2)*(a**2 + a**2 - 4*a**2).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.78 * -66.5856\nAnswer: -51.936768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -22*a**3 + 14*a**2 + 100*a. Let x(i) = 8*i**3 - 5*i**2 - 33*i. Give -5*g(p) - 14*x(p).\nAnswer: -2*p**3 - 38*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f + 6*f**2 + 12*f to s + a*f**2 + y*f and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 39455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1632\/(-64))\/((-15)\/(-6))*(-5)\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = -51*j - 5*f - 27, -3*j - 6 = 5*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - z - 4)*(2 + 1 - 7) - 2 - z + 2 + z + 35*z - 4*z + (-3*z - z + 3*z)*(0 + 1 + 1) in the form n*z + v and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1 - 1 - -7). Suppose 3*g + 95 = 4*r, 3*r + 4*g - 49 + 9 = 0. Let o = r + -49\/2. Which is the third biggest value? (a) o (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 318.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2. Let t be o(-2). Suppose n - m - 1 = 0, n + 4*n - t*m - 14 = 0. Let r(f) = 2*f + 0*f - n*f. Let a(l) = l**2. What is r(a(v))?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 251 and -6178.\nAnswer: -1550678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.9 - 22.1. Which is smaller: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -42\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-5)*(-150)\/24. Let f = 19 + g. Which is the nearest to -1? (a) -4 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h + 2*h**2 - 7 - 3 + h**3 + 8*h)*(310 - 636 + 167*h + 322) in the form t + u*h**2 + p*h + v*h**4 + y*h**3 and give y.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 5*b. Let t(x) = -2*x**3 - 6*x. Let q(g) = -g**2 + g + 7. Let c be q(-3). Calculate c*t(k) + 6*l(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 3, c: 3, o: 1, m: 2, d: 1, w: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 48. Let g be w(-10). Suppose 104057000 = 19*f - g*f. Round f to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 5740673?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 222, -5, -2, 5, 47.\nAnswer: -5, -4, -2, 5, 47, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.007 - -0.207. Suppose -3*l + 2*n = -n, -3*n = -5*l - 6. Which is the smallest value? (a) l (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237857377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 721069789.\nAnswer: 5047488523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 2*s**2 + s**2)*(-5*s + s + 3*s) - 5*s**3 - s**3 + 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r. Let j(k) be the third derivative of -3*k**5\/5 - 234*k**2. Determine h(j(c)).\nAnswer: -432*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 5 = 0. Let k = q + 42. Suppose 0 = 7*f - 2*f - 70. Calculate the remainder when k is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-30)*(-32 + 5). Let f = t - -13. What is c in -12\/5*c**2 - f*c**3 - 16\/5 - 24\/5*c = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635798959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01592 + 29.70408. Round y to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.96 + -2.26. What is the closest to -0.026 in -4, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21622.7 - 0.84\nAnswer: -21623.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-85)\/35 + 3 - 408\/(-21). Calculate the highest common factor of 36 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(6\/(-4)*(-8)\/36). Let w be -1 + 26\/3 - (-42)\/p. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - 124\/(-6). Let v(h) = 108*h + 889. Let d be v(-8). Suppose -d*n = -r*n - 235. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.46189785 + -177.4999. Let c = d - -0.038. What is c rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 192386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 4438160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5623*a + 5*a + 5619*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*w**4 - 5*w**2 - 251*w wrt w.\nAnswer: -348*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-2)*(((-10759)\/261 - -41) + (-2)\/(-90)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9613 + -28841\/3. Which is the closest to 0? (a) v (b) 0.1 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 63. Let p = g - -34. Suppose 0 = 4*w - p*w + 196. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 761 (b) 0 (c) -961 (d) 11 (e) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -13. Is u <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 0.04015. Round m to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - j**2 - 6*j**2 - 5*j to the form p*j**2 + w + n*j and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-410)\/(-40) + -10)*(-1 + 9). Let c(t) be the second derivative of 3*t - 2\/5*t**6 + 0*t**5 + 2\/21*t**7 + 0*t**3 + 0 + 0*t**j + 4\/3*t**4. Factor c(u).\nAnswer: 4*u**2*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by 3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccceqxeqqvpq. Give prob of sequence pxc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -324452\/9 - -3341333\/90. Let o = 1080 - x. What is the common denominator of o and -43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*k**4 - 278*k - 9 + 58*k**4 + 8 to d*k**4 + z*k + t + f*k**2 + p*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 96540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 667603.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (32 - 12) + 60 + -2 + -17 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (738\/(-20))\/(216\/180) + 49\/(-196)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -440*y**2. Let u(r) = 25*r**2 - r - 3. Give u(o(m)).\nAnswer: 4840000*m**4 + 440*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 - 439 - 349 - 41*n**2.\nAnswer: -41*n**2 - 1090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -34452557.\nAnswer: -34452555.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 - 5 - (-7 + 8). Let q = 5 + 10. Suppose -v*d = -5 - q. Solve 4*h + 31 = -5*b, -5*b = d*h + h + 35 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190.0367 + -3.0367. Is 6 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, a: 7, w: 2, j: 3, p: 1}. Give prob of sequence aa.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -11. Let c be 2\/5 + (-54)\/(-15). Let o(f) = -f**2 + 3*f + 2*f**3 + f**3 + 8 - c*f**3 - 5*f**2. Give o(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1315545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*c = 72*c - 16005 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1231821140*h**6 + 2*h**2 - 16424*h - 247.\nAnswer: -147818536800*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/12)\/((-25)\/(-40)). Let k = 763.5 - 766.5. Sort h, k, -0.02 in descending order.\nAnswer: -0.02, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 24 = 9*r. Solve 4*l + 22 = 5*t - 15, -r*t - 4*l = -8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1)*k)\/k**(2\/57))\/(k**5)**(-14))**41 assuming k is positive.\nAnswer: k**(168182\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2 + 94*g + 113 wrt g?\nAnswer: -2*g + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 32 = v, -3*u = 113*v - 110*v - 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujux when four letters picked without replacement from jjjjujxujuvjuuu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by 263.\nAnswer: -101\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/17345 and -25\/4.\nAnswer: 69380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.95 - 4. Let z be (-6748)\/(-42) + (-4)\/6. Suppose 164 - z = -f. Which is the third smallest value? (a) x (b) f (c) 1\/2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**4\/12 + f**2 + 1. Let u(i) = -268*i**2. Calculate k(u(n)).\nAnswer: 536*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/120)\/(7\/(-6)*537\/(-2506))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5347991 to the power of 1\/2, to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.95 + -0.841. Let m = -0.1135 + a. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 28*c**2 - 3*c + 39. What is j(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/3, -41.6, -5?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 7 - 4 - 2*r.\nAnswer: -2*r - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -104, -171, -246, -329, -420?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200199532 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*2*1 + 0)*3*1)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:20 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5 times -14.5?\nAnswer: 253.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 27*r**2 - 16*r + 1215. Calculate m(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(121)*-6)\/(sqrt(55)\/sqrt(5)*1) - ((sqrt(363)\/(sqrt(11)*-1))\/(-2*sqrt(3)*1) + -2))**2.\nAnswer: 70*sqrt(11) + 13491\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4687 and 3.\nAnswer: 14061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 6*x - 32, 16*x + 7*f - 27 = 14*x + 4*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/(-12)*132\/16. Let a(k) be the first derivative of -l*k**4 - 7*k + k + 43*k**4 - 4*k - 38. What is the derivative of a(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -38869?\nAnswer: 38878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-15)\/v*v*v)\/(v**7\/v*v))\/((v\/(v*v**(-7)))\/v)**41 assuming v is positive.\nAnswer: v**(-265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 44*t - 18*t - 11520. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82290, 657881, 2220194, 5262591, 10278434, 17761085, 28203906, 42100259?\n\"Answer: 82227*p**3 - p**2 + 5*p + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-90)\/(-20)*4\/6. Let s(t) = -4*t**2 + t - 6. Let k(h) = 5*h**2 - 2*h + 7. What is d*k(n) + 4*s(n)?\nAnswer: -n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 17*u - 14 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.3 - -34. Let s = f - 5.5. Suppose n + 0*n = -5. Is n at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15796972 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 + z + 3. Let l be q(3). Let k be 6\/l - 3392\/(-14). What is the highest common divisor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.312 + -37.9. Let k = 73566.3 - 73565.887831. Let b = k - j. What is b rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26091 divided by -4?\nAnswer: 26091\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150 - 807*z + 451*z + 150 + 2869*z + (2*z - 2*z + 3*z)*(-4 + 0 + 2) to l + o*z and give o.\nAnswer: 2507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 342 + -318. Suppose -31*u = -k*u - 3185. Calculate the highest common divisor of u and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1355 + -9427?\nAnswer: -10782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from gowxc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/3 - 2*s**2\/3 + 24*s + 24 = 0.\nAnswer: -6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63135648461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156849347?\nAnswer: 156849347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 - (-26 + 7 + 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 + 3*b**3 + 32*b**2 + 15589*b.\nAnswer: -20*b**3 + 18*b + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from immr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 2*s + 5*s + 2*s in the form j + v*s and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/349 (b) 2\/23 (c) -1\/5 (d) -0.5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d = 0. Let r be (-3 - d - -2)*0. Suppose -5*z + 3*g + 36 = r, 5*z + 5*g = 22 + 38. What is the remainder when 25 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 + 3408*k**4 + 13672*k**3 + 20528*k**2 + 13692*k + 3424.\nAnswer: -4*(k - 856)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2. Let d(q) = q**2 - 1963*q. Give d(k(s)).\nAnswer: 9*s**4 - 5889*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2)*0\/1. Let h = o + 2. Suppose -h*g = -3*g + 57. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(48)\/sqrt(2) + sqrt(24) + sqrt(240)\/sqrt(90))*5)\/(4*sqrt(1152)*-1 + 2*(sqrt(1152)*1 - sqrt(1152))).\nAnswer: -5*sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Convert 88399.14ml to litres.\nAnswer: 88.39914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 + 3*i**2 - 3238*i**3 + 169 + 3145*i**3.\nAnswer: -93*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -0.3 (b) -3 (c) 2\/11 (d) -0.5 (e) 12\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -222\/4127477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29586 - 17223. Calculate the greatest common factor of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19867 and 428.\nAnswer: -8503076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**5)\/(c\/c**(-1)*c))\/(c*c\/(c\/(c**(2\/9)\/c))*c*c**(-2\/17)) assuming c is positive.\nAnswer: c**(-1087\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -143364 divided by -3\nAnswer: 47788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18316, 16701, 14010, 10243?\n\"Answer: -538*t**2 - t + 18855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 3*i - i + (502 - 1022 + 518 + 8024*i)*(2 + 2 - 3) as a*i + f and give a.\nAnswer: 8025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(16\/(-4))*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 43*q**4 + 6*q**3 - 5*q**3 - 42*q**4. Let n(b) = -5*b**4 - 6*b**3 + 19*b**2 - 8*b - 3. Let r(x) = 3*f(x) + 3*n(x). Suppose r(m) = 0. What is m?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101101 (base 2) to base 16\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360 + -362. Let l(g) = -g - 1. Let k(a) = 3*a + 4. Give y*l(f) - k(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4 + 414*g**3 + 837.\nAnswer: 8*g**3 + 1242*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383112 divided by 3?\nAnswer: 1127704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:48 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5433288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6519101 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/(-35) + 14 + (-33)\/15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2207400 (base 9) to base 15\nAnswer: 1867dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x**3 - 117*x**3 + 5*x**3 - 82*x**3.\nAnswer: -145*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 475*f - 26093. Calculate q(64).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1105 + -1102. Let r(q) be the first derivative of g*q + 7 - 1\/2*q**2. Calculate r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1 + 6 + 6 + x. Let f = -22 + 10. What is the units digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1396*h**2*s**2 - 4137*h**2*s - h**2 wrt s?\nAnswer: 2792*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9, -h + 71 = v + 3*h. Suppose -5*x + 400 = 4*w + v, 5*x = -2*w + 343. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/14 - 3\/2. Let g = 1.566 - 1.436. Which is the closest to x? (a) g (b) 2\/11 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19430.21 + 5.\nAnswer: 19435.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*l**2 + 10*b**2 + b*l - 645*l**2 wrt b.\nAnswer: -4*b*l**2 + 20*b + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 7) in base 5?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 51.8. Let r = -2.28 - -1.78. Let n = -2 - -4. Which is the third biggest value? (a) 5 (b) m (c) r (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -27*g**2 - 8*g + 8. Let r(d) = -8*d**2 - 3*d + 3. Let a(w) = 3*c(w) - 8*r(w). Let v(k) = -5*k**2 + 5*k**2 + k**2. Determine a(v(b)).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2000, 4066, 6228, 8540, 11056, 13830?\nAnswer: 16916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**3 + 36*u**2 - 21*u - 12. Let r(o) = 2*o**3 - 34*o**2 + 21*o + 10. What is -5*f(p) - 6*r(p)?\nAnswer: -2*p**3 + 24*p**2 - 21*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(175) + -2)**2.\nAnswer: -20*sqrt(7) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 211\/5486*(-8)\/(-2*1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 1 + 11. Let o(l) = -4 - 2*l**3 - 9*l**2 + 2*l**2 - 4*l + 3*l**2. Let y(n) = n**3 + 3*n**2 + 3*n + 3. Determine h*y(t) - 3*o(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13924*m**4 - 290516*m**3 - 1042112*m**2 - 137280*m - 4608 = 0. Calculate m.\nAnswer: -3, -4\/59, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-280)*-7)\/(2\/(-2)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -139982 bigger than -1959735\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1483, -2960, -4435, -5908, -7379, -8848, -10315?\n\"Answer: v**2 - 1480*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 23.4. Let g = 26 + -12. Let u = -13.5 + g. Which is the nearest to n? (a) 1 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 4.6?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 321 - 321.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -17 - -18 - (-147 + (2 - 2)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4080719*j**2 + 4061726*j**2 - 8142446*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 1390. Suppose -8*k + 26 + u = 0. What is the remainder when k is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -114879891 smaller than -114879890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 6*s**3 + 181 - 3*s**2 + 0*s + 86*s - 175 as m*s**3 + f + i*s**2 + k*s and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 b when four letters picked without replacement from {k: 11, d: 1, b: 5}?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4.9. Let k = 0 + u. Let w be 1 + 3\/(-2)*4\/(-3). What is the nearest to k in -0.5, w, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.66 * 1.159.\nAnswer: -1.92394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 - 223. Is u at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -36*w**3 - w**2 - w. Let k be b(-1). Let s be (k\/16)\/((-15)\/(-80)). Solve 0*h = -3*h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -113, 0.921, -3?\nAnswer: 0.921","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 22*w**2 - 16*w + 15*w**2 - w**3 - 10. Calculate the remainder when 26 - (-2 - (-2 + 0)) is divided by u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/29 (b) 2 (c) 1\/266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5 - 5. Let a(q) = -q - 5. Let y be a(-5). Calculate the least common multiple of (y - 2) + (6 - -6) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 68*s**2 + 99*s - 2292. Is v(-48) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 217758 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h - 3. Let j(b) = -4*b - 1. Let w(t) = -3*f(t) + 8*j(t). Let k(z) = -92*z - 181. Let o be k(-2). Calculate w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p. Let v = 0 + p. Suppose -2*n - 9 = -5*n, v = -a - n + 8. Solve a - 2 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 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: 1215 divided by -243\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -557 - -558. Let p(d) = 1 + 160*d**2 - r - 137*d**2. Let n(k) = -15*k. Let f(t) = -t. Let q(c) = -12*f(c) + n(c). Determine q(p(x)).\nAnswer: -69*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.3. Let i = 0.3 - y. Let p = -3 + -1. Which is the closest to 0? (a) p (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -549 and -5.35.\nAnswer: -554.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24 - 16\/(-1 - -5). Is 5 a factor of 1935\/j + (-15)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 4*m**2 - 3*m - 2. Suppose -s + 5*s = c - 12, -5*s - 14 = -c. Calculate b(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-3))\/((-6 - 8) + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-7) - (-1386)\/49?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993300 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 150. Let g(z) be the third derivative of 0*z - 1\/2*z**3 + 7*z**h - 1\/12*z**4 + 0. What is the derivative of g(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -97. Let a(x) be the second derivative of x**3\/6 - 3*x. Calculate a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3103*t - 264. Let i(a) = -a. Determine i(o(y)).\nAnswer: 3103*y + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28346208?\nAnswer: 2, 3, 11, 17, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z + 4. Let s be y(-5). Let u(q) = -12 - 16 + 32 - 3*q + 2*q**2. Does 8 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l - 2*l - 3*l - 9*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 103392?\nAnswer: 723744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 9. Suppose 3*y - 18 = -i, -47*y = -48*y + 5. Let a(f) = -10*f**2 - 46. Calculate i*a(s) + 16*d(s).\nAnswer: 2*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -3, 1, 0, 212?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 18*i + 2 = 3*x, -4*x = 5*i - 21. Solve -9*z + 4*z - i*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -14. Suppose -2*m = -8*m + 354. Let i = x + m. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 624834 and 3045.\nAnswer: 3124170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y + 559*y**3 + 37*y.\nAnswer: 559*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -245*f - 1025. Give i(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6022*j**3 - 18005772*j**2 + 13459296630*j + 17880200.\nAnswer: 2*(j - 1495)**2*(3011*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057528093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/(-25) - (-2)\/10. Let w be (2 + 3)*(-6)\/d. Let c(s) = -s - 8. Give c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.129 + 0.029. Let l = j + 2.1. Let d = -1\/18 - 11\/126. What is the nearest to l in 0.1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114516 is divided by 2793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 3*b + 96. What is a(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.9 (c) -0.5 (d) -1 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5.4, 1\/4, -0.1, 12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaufuosafuuaafufs. Give prob of picking 1 o and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -643 - -643. Let z(s) be the third derivative of 0*s + 0*s**4 - 1\/15*s**5 + 0 - 1\/20*s**6 - 9*s**2 + i*s**3. Find the third derivative of z(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 62 = -8*y, 662*y - 666*y = -3*r - 62 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) 0 (c) -6.9 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776606 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 15 = -73. Suppose 5*j - 19 - d = 0. Solve -j = x - 2*b, 4*b - 12 = 3*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 23 - 138)*(3*m**2 - 5*m**2 + 3*m**2) + (8*m - m - 2*m)*(-6*m + 3*m + m) + 0*m + 0*m + m**2 - 2*m**2 + 3*m**2 + m**2.\nAnswer: -113*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584146*n - 584134*n - 180 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3887 - -3890. Solve 0 = -5*g - b - 10, -2*g = -b + o*b + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490975519.\nAnswer: 61, 8048779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1 - -7)*3*(-55)\/45.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55939, 111705, 167085, 221887, 275919?\nAnswer: 328989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -13, -24, -37, -52, -69?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 + 6*w - 2. Let j be b(4). Let p(d) = -d**3 + 6*d**2 + d - 2. Calculate p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 3) to base 7.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 3:21 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7498661 to the nearest integer?\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 7668?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 305\/396 - 2\/99. Let z be 142\/6 - 28\/(-21). Let v = z + -25. Is j at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbes when four letters picked without replacement from {s: 2, e: 1, j: 9, b: 7}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000522715 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10 + 2)*(0 - l + 0)*(-4*l + l + l).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 25*v + 51\/2.\nAnswer: -(v - 51)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:20 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Suppose 0 = v - 4*k + 15 + 3, -2*v = -k + 1. Suppose 0*z + v*p = z - 13, -20 = 4*p. Let t(d) = -z*d + d + d. Determine t(c(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 8. Let d(b) = -5*b - 1. Calculate -5*d(z) - f(z).\nAnswer: 17*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 493120.\nAnswer: 1479360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 86035 = -3*d + 5*a, -12894 = -3*d + 3*a. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-11)\/(-33)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -79. Let g = -640 - -762. Suppose -31*z = -q*z + g. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1000*k - 1050*k - 997*k + 3 + 3927*k - 883*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 254 * 1106\nAnswer: 280924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 3*l. Let t be 38\/(-14) - 12\/42. Let i be j(t). Suppose -4*a = -i*a - 16. Solve 12 = -a*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34566 and 345403224?\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -5*k**4\/24 + 2*k**3\/3 - 35*k**2. Determine a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -22. Sort 3, n, 6 in ascending order.\nAnswer: n, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z + 8, z = 5*q - 2379. Let r = q + -84. Suppose 0 = 3*s - r + 145. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1100002) + 1\/(-1). What is j rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) 11 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 345185105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*x + 8377 + 10967 = 0 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 + j**2 - 7*j - 64. Suppose -5*m + 1 - 6 = 0. Let a be 1\/(m\/3) - 2. Calculate r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3 - 6. Suppose -2*b - n = 1, 0 = -p + 3*b + 76. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5358*i**5 - 2*i**4 + 2*i**3 + 1114*i**2 - 2*i?\nAnswer: -321480*i**2 - 48*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123, 247, 371, 495, 619, 743?\n\"Answer: 124*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2942, -2879, -2792, -2669, -2498?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1525, -2\/35 in decreasing order.\nAnswer: 8, -2\/35, -1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19698483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260604173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (3 - 18*2). Let k be (-4)\/(-6) + w\/12. What is the remainder when 45 is divided by 2 + 19 - k\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 3, 12, -26\/9, 4, 10\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let t(p) = 40*p + 170*p - 14*p + 180*p - 37*p. Calculate t(m(a)).\nAnswer: -339*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {y: 3, k: 4, m: 1, x: 2, r: 1, o: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037127368 to six dps.\nAnswer: -0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.047? (a) 5 (b) -4 (c) 0.6 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 11. Let u(w) = -3*w - 11. Let p(n) = n + 4. Calculate a*p(z) + 4*u(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t. Let k = 3 + 1. What is the remainder when r(1) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m + 3*m**2 - 36 - 2*m**2 - 16*m - 5*m**2.\nAnswer: -4*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.327 - -0.527. Which is the closest to 1\/5? (a) -1\/5 (b) -0.5 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.29727 days?\nAnswer: 457684128000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/480 + l**5\/240 + l**4\/96 - l**3\/24 + 9*l**2. Factor y(r).\nAnswer: -(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701071 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -39\/2. Let w(q) be the first derivative of 0*q**3 + q**2 + 3 + 0*q - i*q**4. Find the second derivative of w(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 923 - 905.87. Let x = -17 + u. Let o = -4 - -4.1. Is x <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8921.833um to nanometers.\nAnswer: 8921833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*t - 236 = 0, -2*t + 242 = r + 2*t. What is the highest common divisor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010100111111 (base 2) to base 14.\nAnswer: 1bc19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/65 (b) -22\/349 (c) -3\/2 (d) -1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 643, 952, 1243, 1510, 1747, 1948, 2107?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*u**4\/5 + 144*u**3 - 514*u**2\/5 - 328*u\/5 - 8 = 0 for u.\nAnswer: -5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-26))\/((2310\/(-1911))\/(-55))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 3*l + 5. Let x be a(-5). Suppose 5*u = 15 + x. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Suppose -3*m + 10 = -3*v - 5*m, -m = -v + 5. Which is the closest to v? (a) -0.1 (b) i (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t - 28 = 4*x, 2*x = 5*t + 12. Which is the nearest to -1? (a) -0.2 (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/5 - (-396)\/60. Let z(v) be the third derivative of -v**5\/60 + v**4\/4 + v**3\/2 - v**2. What is the units digit of z(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 3*g - 34 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 70876.554 hours?\nAnswer: 421.88425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, 0.7, 14853, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(2541) - (sqrt(2541) + -1*sqrt(2541)) - sqrt(2541))\/(3*(sqrt(3) - (sqrt(75) + sqrt(3)))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**4\/3 - g**3\/6 - 3*g**2. What is the tens digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26160 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 22*d - 2. Let m be f(1). Let x(j) = 51*j + 644. Let a be x(-12). What is the highest common factor of m and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018 and -15768?\nAnswer: 283.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3309937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 14752, 1 in ascending order.\nAnswer: 1, 9, 14752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 2*c)*(-2 + 0 - 1)*(9 + 10 - 12).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {z: 6, e: 1, n: 2, o: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiis when four letters picked without replacement from {s: 7, i: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/3 + 12812*z**2 + 122930944*z - 10356355072\/3 = 0.\nAnswer: -19232, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12070475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8872103303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 6*m + 2*m - m - 31.\nAnswer: -m - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16624 is divided by 16616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) + -2*sqrt(76)))))*3)\/(2*sqrt(256)) + 0.\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5284377 or 5284380?\nAnswer: 5284377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*s + 44*s + 44*s - 133*s + 25*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*o + 2 = 0, -14*i + 6 = -13*i - 3*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 23. Suppose 0 = 3*g + 2*y + 2*y - 189, k*y - 301 = -5*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 10 + 31 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3078493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 0.2, -7372.4.\nAnswer: -7372.4, -1\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from svwgsgwwggwgg?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97\/2 of a centimeter in millimeters?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -16. Suppose 3*a - 72 = -5*q + 5*a, 2*a + 2 = 0. Calculate the remainder when q + (h - -1)*-3 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5022 + -5?\nAnswer: -5027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 45*c + 94. Let n be z(-15). Let m = n - -841. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-90))\/2*(-12051)\/(-721)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:42 AM?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 17*s + 18. Let q(f) = 4*f**2 - 35*f + 35. Let n(p) = -6*q(p) + 11*x(p). Let o(c) = c**2 - 1015*c + 21857. Let u be o(22). Give n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347341088 to the power of 1\/2, to the nearest integer?\nAnswer: 18637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p - 450. Let s = p + 132. Let g = s - -18. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 1 - 1)*(16 - 18 + 41)*(2*y + 3*y**3 - 2*y).\nAnswer: -117*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19754 + 19754 - 24*k**2.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 327? (a) 61\/4 (b) -2\/5 (c) 2 (d) 5 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*96\/(-168)*10\/(-16)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 427 - 426.9999811. Round q to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Solve 4*w = 2*y - 6, 2*y - 3*w - 6 = b*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73646002*f + 86734393 wrt f?\nAnswer: 73646002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 6*c - 400*c**3 - 83*c**3 + 9*c - 3*c.\nAnswer: -483*c**3 + 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128780?\nAnswer: 2, 5, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6*q**2 - 87*q**3 + 84*q**3 - 3*q**2 - 3. Let m(k) = k + 1. Let p be m(-4). What is the units digit of t(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*n = -189*n + 4858 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/2 of a micrometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41217, 41201, 41175, 41139, 41093, 41037, 40971?\nAnswer: 40895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 390702397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*p**6 - 150*p + 0*p**2 - 85*p**6 + 20*p**5 + 46*p**6 - 2*p**2 wrt p.\nAnswer: -600*p**3 + 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(400) + -2*sqrt(400)) - sqrt(400))\/(sqrt(490) + 2*sqrt(490)))\/((sqrt(648)*2 - sqrt(648))*4*-3).\nAnswer: sqrt(5)\/567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*-1*(8 - 3). Suppose 7 = h + y. Let p(o) = o**2 - 6*o + 7. Let c be p(5). Is c less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 141 = 17. Suppose 44 = -3*x + w*x + n, 0 = -3*n + 6. Solve x = -8*r + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 5, p: 5}. Give prob of picking 2 d and 1 k.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -290830 and -290831 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-3) + 0 - 3. Let j = 3 - 6. Let h be (j\/(-14))\/((-2)\/(-4)). Which is bigger: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from tfxxrfrrtxrftt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*l + 27*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 87698042 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19529\/22 + -1775\/2. What is the closest to 0 in -5, 1, h, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllullllluuuuiu. What is prob of sequence uil?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 + 17*m + 55. Let w be u(11). Solve -3*h + 3 = w, -p = 4*p - 2*h + 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 24 = -2*x, 120*l - 21 = 2*x + 115*l. Let p = -3 + 7. Suppose -p*b + 38 = -2. Solve -15 = 3*k, -4*u + b + x = -4*k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42825344*f - 42825182*f + 85650373*f.\nAnswer: -153*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2381330458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 8*x**2 + x - 1. Let f be m(-6). Let v = -32 + f. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n + 16*n + 3*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 5860885\nAnswer: -32\/5860885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k + 4. Let l = -3 + k. Let w = -10 - -14. Which is the nearest to l? (a) -1\/5 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/14 of a week in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 2504863?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1204*k**2 + 1738*k**2 - 951*k**2 to b + s*k + d*k**2 and give d.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -163, 2, 8.0772 in ascending order.\nAnswer: -163, -7, 2, 8.0772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15 - -12)\/(9\/(-12)). Suppose 6*k - 7*k + 3*i = -8, k + r*i = 1. What is the third smallest value in k, 1\/4, 0.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44986760 or -89973521\/2?\nAnswer: -44986760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12 and 23\/53.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*a*j**3 - 2*a + j + 100 wrt j.\nAnswer: -27*a*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5323 (base 10) to base 9\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 36*b - 324. Let n be i(19). Let g(y) = 10*y**2 + 2*y - 1. Let p be g(1). Let m = p - 15. Sort 17, n, m.\nAnswer: m, n, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:11 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-33) + (6\/(-3) - -4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-3 + 2))\/2. Let n be (g - (-9)\/48)*-676. Let h = -128 - n. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 1 - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (66 + -47)) + 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -177764 divided by -2\nAnswer: 88882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-6)*(-882)\/(-21) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 4*o + 4. Let i be t(-2). Suppose 29 = 3*r - l, -l + 3 + 1 = i. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1605*c. Let g(b) be the third derivative of b**4\/24 + b**2 + 142*b. Determine g(z(i)).\nAnswer: 1605*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 - 2229*b**4 - 11292*b**3 + 53856*b**2 = 0.\nAnswer: -8, 0, 3, 748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -41 + 0*t - 51\/2*t**2. Let f(x) = x**2. Calculate f(b(q)).\nAnswer: 2601*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/21 + 20*x**4\/3 + 3890*x**3\/21 - 500*x**2\/3 - 84416*x\/7 + 37440 = 0.\nAnswer: -18, -12, 4, 5, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 6:24 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*t**4 - 17*f*t**3 - 2*f + t**4 - 8*t wrt t.\nAnswer: -24*f*t**2 - 102*f*t + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/55)\/(3\/((-675)\/40))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111201 (base 3) to base 6.\nAnswer: -23114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 5*f + (-5 + 1 + 5)*(-4*f + 3*f + 2*f))*(-3*f - 2*f + 30*f) in the form k + z*f**2 + t*f and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 13708615?\nAnswer: -2\/13708615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103214\/14 - (570\/105 + -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 + 48*w - 349. Give c(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (3 - 7) - (-9275)\/(-3025). Let c = 314\/1089 + y. Determine t so that c*t**2 - 4\/9 + 2\/9*t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 - b + 0*b - b. Let v = 8 - 4. Suppose -v*z + 7*z + 2*i + 21 = 0, 5*z = -3*i - 34. Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47371*x - 47412*x - 82 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/21)\/((-11)\/77).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*t = -t + 24, -5*t = -i + 28. Suppose 4*s = q - 5, 0 = -i*s - 5*q + 9*q + 6. List the prime factors of (-16)\/12*33\/s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1005 and -35\/33.\nAnswer: 11055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144001\/6 - 24000. Which is the second biggest value? (a) 806 (b) 4 (c) 1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33558 and 4935?\nAnswer: 167790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((sqrt(121)*2)\/sqrt(11) - (sqrt(33)\/sqrt(3)*-5)**2).\nAnswer: -550 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7989313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 5, w: 4}. What is prob of sequence ww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/27 and -47\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*a - 2, 2008*a = 4*d + 2010*a - 44. Calculate the highest common factor of d and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406.152 * -5.\nAnswer: 2030.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 965 - 969. Let x(p) = 3*p - 5. Let d(b) = -3*b + 6. Calculate z*d(o) - 5*x(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 13*o + 66. Let u be m(6). Suppose 105 = 3*n - u. What is the remainder when n is divided by (-8)\/24 + (-43)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/((5 + -1)*(-2)\/4). What is the highest common divisor of 141 and x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microsecond in nanoseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 6, y: 4, g: 7}?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5 - 3 + 36*w + 2 - 3. Let i be c(6). Suppose 0 = v + 2*v - i. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.365779 + -0.138079. What is s rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -5 - -1) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3176, -3186, -3196, -3206?\n\"Answer: -10*u - 3166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/(-6))\/((-2)\/(-8)). What are the prime factors of 440\/c + (-16)\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 5*y**2 + 7*y + 9. Let z be g(-6). Suppose -z*b + 44 = -10. What is the lowest common multiple of 6 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 + 186 - k**2 + 3*k**2 as x + n*k**2 + h*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 86 + 332 - 5*r - 607 + 95.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 b when four letters picked without replacement from nfnpccfcbtnbpct?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*m - 791*m + 171*m + 341*m.\nAnswer: 58*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48753159 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752d2 (base 14) to base 8.\nAnswer: 1051110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 606703271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641432 is divided by 106892?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006365 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -166537 divided by -10?\nAnswer: 166537\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 631272481*o**4 + 5448*o**2 + 76308 wrt o?\nAnswer: 15150539544*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-6 - (-1 + -1 - 6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 1\/3, 3, 0.9 in descending order.\nAnswer: 3, 0.9, 1\/3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c + 15*c - 23*c - 20)*(309 - 309 + 389*c) as l + j*c**2 + s*c and give j.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7912190 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 0, 2*x = 3*x + 4*n - 2214. What is the smallest common multiple of 3 and x?\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4871.38553 rounded to the nearest ten?\nAnswer: -4870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + 113. Let y = 1285 - s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 8. Let s be j(-6). Let p = -36 + 33. Sort -5, p, s.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*s = -3608, -7 = -3*s + 8. List the prime factors of y.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.1\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 - 3*l**2 - 6*l + 7. Let b be w(-4). Does 19 divide 16*2 + (b - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*l + 5)*(2 - 5 + 2)*(5*l - 4*l + l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a**2 - 199*a**2 + 107*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49 and 14.\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 5*z - 17, 0 = 4*u - 2*z + 4. Let n(s) = -s**2 - 2. Let h(g) = 11*g**2 + 7*g**2 + 3 - 16*g**2. What is u*h(d) - 4*n(d)?\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 8*p**2 - 3*p - 10. Let u be 40\/6*63\/84. Suppose 5*v - 5*b - 14 = -54, 31 = -4*v + u*b. Does 14 divide n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1478 (base 9) in base 15?\nAnswer: -4ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*m + 2*m - 1360, 0 = -5*q - 4*m - 1741. Let r = q + 607. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23544 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pekempqqqq. What is prob of picking 4 q?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379142 - 276*a**3 - 1379142.\nAnswer: -276*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2 + 1)*13. Suppose g = -2*s + 9, -6*s + f = -2*s + g. Solve -s*k = -12 + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - d. Let k(j) = 3*j**3 + 11*j**2 + 3*j + 1. Let h(q) = k(q) + 2*p(q). What is the units digit of h(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*132\/110. Let r = 79 - 75. Let o(n) = -2*n - 7. Let j be o(-6). Put s, j, -4, r in increasing order.\nAnswer: -4, s, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -1\/2, -11 in decreasing order.\nAnswer: -1\/2, -11, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2234 - 2229. Solve 2*m + 0 = 2*r - 4, 3*m + 30 = -w*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*1*4\/12. Suppose -3*i + q*i + w = 2, 8 = 3*i + w. Find the third derivative of 11*z**3 - z**5 + 49*z**6 - 30*z**6 + 52*z**2 - 11*z**i wrt z.\nAnswer: 2280*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**3 - 4*v**2 + 2*v - 16. Let w = 44 - 40. What are the prime factors of n(w)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 3891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 - 3*t - 7. Let r(p) = -2*p**2 - 7*p - 2. Let b(k) = -k**2 - 4*k - 1. Let v(w) = 5*b(w) - 3*r(w). Calculate -h(y) - 6*v(y).\nAnswer: 2*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 98?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-54) + (13 + -12)*40\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t + 2*t)*(4 - 4 + 3*t**2) - 12*t**3 - 10*t**3 + 23*t**3 + 312*t**2 as r*t**3 + j*t + q*t**2 + i and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppooooooo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 351, 2\/7, -0.2, 0.055?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7\/15, 7, 793, 1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (sqrt(171) + -2)*6*-5)*4*5.\nAnswer: -1800*sqrt(19) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + 4*t)*(3 - 5 + 4) - t + 0*t + 3*t + 2*t + t - 4*t + 0 - 2*t + 0 + (-t + 4*t - 2*t)*(-1 + 4 - 2) + 2*t - t - 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5152\/672*12\/(-140)*-7.\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 9 - 10*x - 11. Is w(-14) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -138, -208, -278, -348, -418?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 + 19*y + 149. What is the remainder when 186 is divided by x(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 71 = 12*j + 5, -j - 14 = -5*j + 934*l - 929*l for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55296 by -72.\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 2*t - 2)*(-3 + 4 + 0)*(4*t - 3*t + 0*t)*(16 - 420*t + 834*t - 418*t).\nAnswer: -4*t**3 + 24*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2055, 2030, 2005, 1980, 1955?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64932342*c**5 - 97*c**2 + 24774.\nAnswer: 3895940520*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - 11*d - 6. Let h = -2 - -6. Let s(t) = 5*t**2 + 10*t + 6. Let q(j) = h*p(j) + 5*s(j). What is the remainder when 10 is divided by q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6196000 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/2*-3*(55\/(-15))\/11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/19 - 50\/209. Let c be -1 + 9639\/539 + 6. Let t = -164\/7 + c. What is the biggest value in t, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 68*u**2 - 8*u - 5. What are the prime factors of p(-3)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1848 divided by 6983?\nAnswer: -1848\/6983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 - 20*l - 18. Suppose 3*j - 35 + 5 = 0. Let f be m(j). Round f to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*a**3*n*w - a**3*n + a**3*w - 22*a**3 + 6*a**2*w - 3*a*n*w + a*w - 61*w - 15 wrt a.\nAnswer: 1170*n*w - 6*n + 6*w - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/1820 or -1?\nAnswer: -31\/1820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39080 by 7816.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 20*o + 24. Let v be p(19). What is the second derivative of -u**v + u**4 - 7*u**5 + 53*u + 12*u**5 wrt u?\nAnswer: 80*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 4, 1263 in ascending order.\nAnswer: -3, 2, 4, 1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43\/(43\/(-4)) - 15\/(-20)*(-117 - -9)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 3) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {t: 1, s: 2, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -19, 0.3.\nAnswer: -19, -2, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2217 + 14989 = 0. Let s = -229885\/72 - u. Calculate the common denominator of s and -107\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.9. Let t = -1.66 + -3.34. Which is the smallest value? (a) t (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13848 divided by 588\nAnswer: -1154\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 194009 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7102, -14, 1 in ascending order.\nAnswer: -7102, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*r - 4*r - 1065603*r**2 - 4 + 1065644*r**2.\nAnswer: 41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5 = -3*l + 2, 186 = -357*c + 353*c + 34*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 68*f + 4. What are the prime factors of v(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47663559.\nAnswer: 3, 29, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 + 6*c**2)*(5*c**2 - 3*c**2 - 3*c**2) + (-c**2 - 1 + 1)*(-c**2 + c**2 - c**2).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*4\/6)\/3 - (-23 - -18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 3*c**4\/2 + 25*c**3\/3 - 3*c**2 + 183*c + 2. Let l(h) = -7*h - 10. What is -3*g(f) - 16*l(f)?\nAnswer: 4*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3235 (base 6) to base 7\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*-24*33\/(-352). Let h(y) = 2*y**3 - 12*y**2 - 57*y + 25. Calculate h(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*g - 2*g + 24 = -3*g, -5*g + g = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 - k - 2. Let a be u(-4). Solve -3*i + c + a = -8, 3*c + 6 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**5 + 3*d**3 - d**5 - 2*d**3 + 3*d**5 + 4*d**2 - 4*d**2 + (2 - 2 - 2*d**2)*(-3*d**3 + 4*d**3 - 3*d**3) + 5*d**5 - d**5 - 2*d**5.\nAnswer: 7*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24181288 = -11*i - 3*b, 4*b + 20 - 4 = 0. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 14*t = -5*w - 15, -2*w - 18 = 5*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 1. Let y(m) = 2*m**2 + 8*m - 4. Let i(t) = 3*u(t) + y(t). Let j be i(7). Let z(n) = n**3 - 5*n**2 - 7*n + 5. Calculate z(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 13*n**2 - 15*n + 30. Let x be h(12). Let b be (162\/189)\/(x\/(-14)). Suppose -4 = -5*o + 6. Solve 0 = l - o*g - 13, -b*l + 2*g + 14 = -2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2675 - -0.2675. Let k = -96.154 - -96. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 13*f**2 - 29*f - 13. Let h(i) = -3*i**2 + 7*i + 3. Calculate 4*c(n) + 18*h(n).\nAnswer: -2*n**2 + 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 7)*(-1 + 1 - 2 + l**2 + (-3*l + 3*l - 3*l)*(67 - 67 + 2*l)) to k + x*l + a*l**2 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.04 - 31. Round t to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 39*x**2 - 13*x - 9. Let j(f) = -26*f**2 + 9*f + 6. Let v(g) = 7*j(g) + 5*m(g). What are the prime factors of v(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 403, -1, -53.\nAnswer: -53, -1, 0, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = -o + 532, -f = -o + 529. What is the highest common factor of o and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 6*q - 3. Let b be j(-5). Suppose 73 = 5*h + 4*u, 28 = b*h + 2*u - u. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12200 (base 3) in base 12?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2558507083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 8 + 496. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/54 and 57\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 69\/9*3. Let w = 33 + q. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 330*v**2 - 368*v**3 - 328*v**2 - 257*v**3 - 248*v**3 + 140*v**3 to the form n*v**2 + h*v + f + o*v**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10234086\/41 or 249612?\nAnswer: 249612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/6, 2\/9, -4\/9, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 5 + 0 + 1. Let p(c) = 1. Let n(z) = -z + 5. Let w(a) = 20*a - 581. Let l be w(29). Give b*p(s) + l*n(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**14)*s)\/(s**(-19)*s) assuming s is positive.\nAnswer: s**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828374 is divided by 217567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 6 + -1 + 486 + -493 + 20 + 1\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91))\/(sqrt(112)*1) - (5 + sqrt(637) + 0 + -5).\nAnswer: -23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 265*n + 1. Let d be b(1). Suppose -3*p - 4*x = -805, p + x = 2*p - d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(208)*4*-1 + -3)**2.\nAnswer: -288*sqrt(13) + 29961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118801140 divided by -23760228.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 30 = -5*z, 5*f + 12 + 13 = 0. Let i = 5\/47 - 62\/141. Sort i, z, 1\/3 in descending order.\nAnswer: z, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jewvjcn. What is prob of sequence wjjn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 8*z**2 - 18*z - 76. What are the prime factors of q(19)?\nAnswer: 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.6 + -25.6. Which is the closest to 1? (a) -8 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1146)\/(-60)*5)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.27 + 4.67. Let m = o - 6.74. Is m != 7.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00234653 rounded to 5 dps?\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6307, 12612, 18917, 25222?\nAnswer: 31527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19 - 19)\/(4\/2 - 1). Let t(b) = -b**2 - 7*b + 3. Let p be t(-7). Solve -p*r + 8*r + 10 = f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -236*b*l*q**2*t - 8*b*l - b*q**2 + b*t - 84*l*q*t - 99*q**2 - 31 wrt l.\nAnswer: -236*b*q**2*t - 8*b - 84*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, -2, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.42 in -1\/2, 5, -2\/7, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20208099 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 94 = 122. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 778*m + 795*m + 5*m**3)*(2*m + 4*m - 5*m).\nAnswer: 4*m**4 + 17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l + 5. Let f(p) = p - 1 + 0*p + 0*p. Let m be ((-7)\/((-105)\/6))\/((-8)\/(-20)). Suppose -4*h - m = -5. What is h*d(s) + 6*f(s)?\nAnswer: -s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12418500 and 16071?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3134886 and 3084.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -30 - (-2 - -3 - 1)) + -6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(0 + (-22)\/4). Let b = -33 - d. Solve -x + 3 + 0 = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**7\/105 + 4*y**5\/5 - 65*y**4\/12 + y**2 - 11*y. Find the second derivative of d(x) wrt x.\nAnswer: 24*x**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -116*m**2 + 0 + 0 - 271*m**2 - 401*m**2 in the form w*m + l + k*m**2 and give k.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 20*u**2 - u - 2. Determine c(2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/360 + 7*i**5\/60 + 3*i**4\/8 + i**3\/2 - 2*i**2. Let w(u) be the first derivative of f(u). Is w(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9491 - -9497.392. Round o to 1 decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235068 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4\/2 - 12685\/(-1475).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 (base 10) in base 7?\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-40)*6880\/(-516)*(-15)\/(-8)?\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -239, -790, -1863, -3632?\nAnswer: -6271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2061 and 3033.\nAnswer: 694557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 106\/20 + (-133)\/(-19) and 17\/385?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18c802 (base 13) to base 11\nAnswer: -3994a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*q**2 + 1204*q**2 - 3036*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 4*s - 12. Let w(z) = 17*z**2 - 10*z - 35. Let c(g) = 7*a(g) - 2*w(g). Let o be c(10). Calculate the greatest common divisor of 450 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 0*y + 3*y + 6*y. Give s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (1 + -1))\/5. Let z = 10.8865 - -0.1135. Suppose 0 = 3*v - 5*v + 8. Which is the nearest to z? (a) 2\/19 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/3 (c) -25 (d) -0.052 (e) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 8*y**2 + 78*y**3 + 0*y**2 - 5*y**2.\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 0) + -3 + 7. Suppose -g*y + 770 = -12*y. Calculate the highest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 9*r + 7. Give u(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((1 - -4) + 6 + -10). Suppose -5*o - m + 12 = 0. Suppose -3*s + 3*l = -30, -s - o*l + 0*l = -25. Calculate the greatest common factor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Suppose 2*b - 28 = -0*b. Suppose -3*r - 4*p - p = 5, 0 = -4*r - 3*p - b. Put n, r, -2 in descending order.\nAnswer: n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -25*y + 229 + 82 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/23, -50186 in descending order.\nAnswer: 2\/5, -2\/23, -50186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 7*g**3 + 2 - 2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 37*i + 37. Determine d(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -4, 0.5, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000442166 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153095 divided by -67.\nAnswer: -2285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-60)\/27) + (-12)\/(-4). Let d = 0.86 - 0.8. Let s = -0.46 + d. Put s, x, 4 in descending order.\nAnswer: 4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 980 and 65296?\nAnswer: 2285360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w**(-1)\/w)*w)*w*w**(-3))\/((w*w**(2\/3)*w)\/w*(w*w\/(w\/w**(-3\/8))*w)\/w) assuming w is positive.\nAnswer: w**(-151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 o when four letters picked without replacement from {e: 2, o: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 28?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733520203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x = -12*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 78654 = q + 47612. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 - a + 3. Determine c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3*l**5\/10 - l**4\/6 - 8*l**3\/3 - 4*l**2 - 71*l - 2. Let v(q) = 0. Calculate q.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*l**4 - 14*l**3 - 720*l**2 + 21436064 with respect to l.\nAnswer: 72*l**3 - 42*l**2 - 1440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.5 - -15. Suppose 4*c - 36 = -4*o, -4*c - 4*o = c - 40. Suppose -2*i + c*i = 0. What is the third smallest value in i, t, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2226 divided by -21.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 598 = -352. What is i rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 7265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 161056449 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15)*1)\/((-12)\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 356.4445.\nAnswer: 348.4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2. Let p(t) be the first derivative of t**6\/30 - t**5\/40 + 34*t**3 - 105. Let x(y) be the third derivative of p(y). What is x(n(s))?\nAnswer: 300*s**4 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 7. Let s(i) be the second derivative of 1\/2*i**3 - 2*i**2 + 15*i + 0 + 1\/12*i**4. Calculate s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4021 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10222320113 (base 4) to base 12\nAnswer: 4b055b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304886 (base 11) to base 8.\nAnswer: -1674103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:39 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 - (-92)\/(-184)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + v - 60 = 0, 3*v + 52 = -0*g + 2*g. Let p = g - 24. Solve 4*w - d + 9 = 6*w, -5*w - p*d = -35 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222300 (base 4) to base 11.\nAnswer: -2068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/325 - 1019\/7150. What is the second smallest value in -1\/10, 4, 2, a?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3\/5, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*m - 1305, -2*l + 3*m + 236 = -619. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x + 25*x - 205 + 3*x - 19*x - 90 in the form n*x + o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - 3*v + (v + 1 - 1)*(-3 + 3 - 2) + (7399 + 6679 - 19376 + 6584)*(-2*v - 2*v + 2*v).\nAnswer: -2573*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*(1700\/120)\/((-540)\/(-1296)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1053) - (sqrt(1053)*-1 + 5) - ((2*sqrt(1053) - sqrt(1053)) + 5)))**2.\nAnswer: -2880*sqrt(13) + 18448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 181*i - 72. Let l be h(4). Let q = -375 + l. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6508 - -6507. Which is the smallest value? (a) l (b) 3 (c) 3\/2 (d) -5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4 - 665166*k**3 - 37258704*k**2 = 0.\nAnswer: -56, 0, 221778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from dvvgvem.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093444*-0.5.\nAnswer: 0.046722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**3 + 38982*r**2 - 150832500*r + 148772421096 = 0.\nAnswer: 1502, 5746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trj when three letters picked without replacement from {t: 1, r: 1, j: 1, n: 1, s: 1, m: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 1. Suppose 0 = 2*y + 6, -5*c + 15 = -2*c + y. Let i be t(c). Let g(q) = q + 7. Give g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82702.\nAnswer: 2, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13958 - 13963. What is the fifth biggest value in 2, h, 2\/19, -2\/7, -5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*g + 91*g + 30 = 0. Is (-10)\/(-15) + (4 - (-518)\/g) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4515 (base 10) to base 7\nAnswer: -16110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 87. Let c be r(-36). Let i = 42 - c. What are the prime factors of i?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251243, 502474, 753697, 1004912, 1256119, 1507318, 1758509?\nAnswer: 2009692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*d = -212*d + 30. Suppose -372 = -w + 231. Suppose -5*l - 3*q + w = 0, -238 + 8 = -d*l - 4*q. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28371 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: Let g = 1\/140 + -219\/35. Let v be 2 - -2447*(-12)\/14679. Let y = v - -435485\/19572. Find the common denominator of g and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -2 + 26. Let j(n) be the second derivative of 0 - 3*n - 1\/12*n**x + n**2 + 0*n**3. Differentiate j(y) with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -24. Let f(v) = 3*v + 1. Give f(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3503446631 to the nearest integer?\nAnswer: 59190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*(-32)\/9120)\/(5\/(100\/(-8))).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 675.1 - 675. What is the closest to u in 3, -0.3, -5, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81217?\nAnswer: 241, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 at least 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*f - 9 = 0, 0*m - 4*m + 12 = -4*f. Let x(h) = 46*h - 1. Let y be x(m). Solve -2*q = 5*k - 33, 5*q + 5*k - y = -0*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570)\/sqrt(10) - sqrt(57)) + sqrt(57))\/sqrt(3)*1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2.8. Sort -5, -9, s.\nAnswer: -9, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4972.7 rounded to the nearest one hundred?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - ((3 - -1) + (-42 - -46))) + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + -0.95. Let x = f + 0.7. Let y = -0.47 + 3.47. Which is the nearest to 0.1? (a) y (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*r - 900 = 0. What is the lowest common multiple of r and 44?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -31*t - 105 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 16. Suppose 0 = -0*g + 4*g + u - 97, 5*g = z*u + 95. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3\/19, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/30 and 137\/148122.\nAnswer: 740610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - ((1 + sqrt(1573))**2 - sqrt(1573))) + sqrt(1573) - (sqrt(13) - ((sqrt(325) + 1)**2 + sqrt(13) + sqrt(13))).\nAnswer: -1248 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**5 + 21365*u**4\/4 + 296745*u**3 + 5349240*u**2 + 31361580*u - 8179380 = 0.\nAnswer: -18, 1\/4, 1122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/5269 or 1?\nAnswer: -8\/5269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 10. Let x be z(10). Suppose -a = -2*a + 5*j + 4, -2*a = 4*j + 6. Put 2, x, a in decreasing order.\nAnswer: 2, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6405128, 12810254, 19215380, 25620506?\nAnswer: 32025632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/2887 - 3644\/1024885. Is w smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58798376.\nAnswer: 2, 7, 13, 17, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.076 + 1.576. Which is the closest to 1? (a) n (b) 2\/35 (c) -2\/13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(96) - sqrt(13))**2 + sqrt(117)*-5 + sqrt(117).\nAnswer: -12*sqrt(13) + 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3255 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 3*x - 3. Let m(f) = 8873 - 4437 - 4437. What is -c(b) + 3*m(b)?\nAnswer: -b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338979 is divided by 84743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, x: 10, w: 7}. What is prob of sequence wt?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4762193, 9524371, 14286531, 19048673?\n\"Answer: -9*a**2 + 4762205*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, 7448, -3, 1\/5, 1, 0 in descending order.\nAnswer: 7448, 209, 1, 1\/5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/11 and 62\/3369?\nAnswer: 37059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10261810 is divided by 3266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -26*u + 36. Solve 12 = -4*n - 2*i, -2*i + 2 = -n - u*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51320.64 litres to millilitres.\nAnswer: 51320640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -736454*x + 1162. Let m be g(3). What is m rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 12*z + 4. Let v be f(-12). Suppose -n - 7 = -5, v*d + n = -2. What is d rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*x - 24, -x - 4 - 5 = -3*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -135*u**4 + 75*u**4 - 132*u**4 + (4 - 2 + 1)*(-u**4 - u + u) - 9*u + 9*u + 8*u**4 + 1 - 1 - u**4 as k + t*u**4 + q*u + w*u**2 + l*u**3 and give t.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 4, k: 5, u: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 33 = 5*j, -5*j = -3*f + 11 + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*10\/(-60)*3)\/(33\/2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 6)*(-44)\/(-1). Factor -y*c**2 + 168*c**2 + 132*c - 267*c**2 - 12.\nAnswer: -3*(11*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 = 100. Let f be 6\/4*t\/(-3). What are the prime factors of f + -3 + (2 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -218775 and 91.\nAnswer: -19908525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9924 divided by 6.\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33705719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 22*f + 31*f - 12*f to z*f + g and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-230)*(-2135)\/2562.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.2 - -3.7. Let y = -19 - l. Let p = y + 8. Which is the smallest value? (a) 0.4 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1960234.\nAnswer: -2\/980117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5319, 21207, 47689, 84765, 132435, 190699, 259557?\nAnswer: 339009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9333329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 2*c. Let b be u(-3). Let o be ((-3)\/2)\/(b\/(-48)). Let z(n) = -2*n**2 + 6*n - 5. Let y(k) = k - 1. What is o*y(d) + z(d)?\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57.0896nm?\nAnswer: 0.0000570896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-704)\/40)\/((-9097)\/(-41350)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3382638 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -40 + -30?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 249 = 4*n, 5*n + 123 = 2*v + 443. What is the highest common factor of 1749 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-96)\/(-432))\/(20\/(-45)). Which is the third biggest value? (a) 2 (b) 5 (c) n (d) 3\/11 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -198 + 182. Solve 0 = -2*l + 2, t - 2*l = -2*t - s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:42 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37518 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3235838 is divided by 580.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 710? (a) 85 (b) 1733 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-3\/19))*n)**(2\/79)\/(n\/n**(-1\/4))**(2\/161) assuming n is positive.\nAnswer: n**(6663\/483322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i. Let z(h) = 15214958*h. Give p(z(l)).\nAnswer: 30429916*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 826 - 831. Sort -11, 116, k in ascending order.\nAnswer: -11, k, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -835 - 4541. Let r = b - -3625. Let y = 3437\/2 + r. Is -33 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**1*g*g*g))**(1\/7))**(-1\/20))**(-2\/5) assuming g is positive.\nAnswer: g**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.022 + -0.002. Let r = -391\/24 - -133\/8. Which is the closest to r? (a) f (b) -0.06 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 17*g**2 + 390*g - 3184. Calculate c(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -19. Suppose 11 = n*q - 3. Suppose 0 = -q*l + 3*u + 7991, 5*u + 3439 + 546 = l. Round l to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99*-0.3.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3*g**3 - 3233*c**3*g + 12682047*c**2*g**3 - 2941*c**2*g**2 - c*g**3 - 2*c*g**2 wrt g.\nAnswer: -24*c**3 + 76092282*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -677.01 - -677. What is the nearest to h in 0.04, 0.2, 2\/9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573) - (sqrt(832) - (2 + sqrt(832))**2)) + (-3 + sqrt(52) + -5)**2.\nAnswer: 3*sqrt(13) + 954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -4, 2, 12\/67, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d**3*w - 34*d**3 + 2*d**2*w - 10*d**2 + 26*w wrt d?\nAnswer: -54*w - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1149.\nAnswer: -344.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = 5*d, 5*d = 4*l - 32. Suppose 4*s + 263 = -l*c - 30, -3*c = -3*s + 300. Let g = c - -100. Put g, 4, 0.2 in ascending order.\nAnswer: 0.2, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 109182*l**2. Let a(w) = -4*w. Give r(a(h)).\nAnswer: 1746912*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7712 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*((-156)\/(-45))\/13.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 249945189 * -0.3\nAnswer: -74983556.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -318, -630, -858, -882, -582, 162?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from {t: 3, z: 4, c: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 8. Let m(s) = 5*s**2 - 3*s + 3. Let l(d) = -4*d**2 + 2*d - 2. Calculate z*m(h) - 3*l(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:48 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-83680)\/27196)\/(6\/(-39)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95680*b - 191299*b - 4*b**2 + 95619*b + 4*b**2 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.15506772 to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/5)*(c*c\/((((c**(1\/13)\/c)\/c*c)\/c)\/c*c))\/c)\/((c*c\/c**(-1)*c)\/c**12))**(-2\/5) assuming c is positive.\nAnswer: c**(-1654\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825082257 a multiple of 6504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345398086?\nAnswer: 2, 317, 2122079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2927.3 to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2. Let i(p) = -473415*p. Determine i(x(d)).\nAnswer: 946830*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:14 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10201000001 (base 3) to base 15.\nAnswer: -16901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 9*k + 114. Let j be c(10). Calculate the highest common factor of 36 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 + 94*g\/3 + 992\/3.\nAnswer: 2*(g + 16)*(g + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p + 6*p**3 + 5 + p + 5*p - 2*p - 6*p**2. Let h(b) = 5*b**3 - 5*b**2 - 6*b + 4. Calculate -5*h(w) + 4*o(w).\nAnswer: -w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.076 + 4.076. Let r = 29.8 - 33. Let g = r + 2.7. Sort s, -9, g in decreasing order.\nAnswer: s, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 79480.\nAnswer: 79479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0751 rounded to 2 dps?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 51*m**2 + 594*m - 31. Determine r(-11).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 7)*(-3*z + 16 - 16)*(12 + 14 - 25).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117697, 118400, 119103, 119800, 120485?\nAnswer: 121152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15695300 rounded to the nearest 100000?\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-5)*(-888)\/(-2368)*10\/(-66)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005812 divided by 24532?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 10*j + 4. Let s(p) = -11*p**2 + 3*p - 2. Let c be s(1). Let w be h(c). Suppose -w*q + 0*q + 348 = 0. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = -3*g. Suppose -2*n - 13 = -n - 5*j, -5*n + 4*j = -19. Is (g\/2)\/(1\/n) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9228 in 2\/9, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*v = 144*v - 53*v + 43*v - 7560 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 86041 = 5*i, 0 = 2*i + h + 4*h + 34423. Let w = 155275\/9 + i. Let z = w + -44. Put -5, z, -1 in descending order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 - 4*q - 1. Let g(f) = -f**2 - f. Let p = -15 - -20. Suppose p*k + 6 = 7*k. Let o = 5 - k. Give o*g(n) - h(n).\nAnswer: 2*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69396.48993363 and 0.1.\nAnswer: 69396.58993363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -756415576*g**5 + 958411237*g wrt g?\nAnswer: -15128311520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 12*v + 36)*(-5*v + 4*v - v) - 2*v**2 + 0*v**2 + 4*v**2 + v.\nAnswer: 26*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/30 + 27*a**3 - 187*a**2\/2 - 3*a - 175. Find the first derivative of u(b) wrt b.\nAnswer: 4*b**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01795584 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5884.2+14571\nAnswer: 8686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3285 greater than or equal to -3271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a + 3*f - 4, -a = 2*f + 4. Suppose 7*n - 15 = a*n. Suppose 7*t = 2*t + 2*g - n, -4*g = -2*t + 14. Let s(o) = o**3 + 4*o**2 + o. Calculate s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1215 - 1213. Factor 0 - 3\/2*s**n - 1\/2*s**3 - s.\nAnswer: -s*(s + 1)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, y: 7}. What is prob of picking 3 h?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r**2 + 9*r. Let b(l) = -29*l - 6*l**2 + 47*l + 12*l**2 - 22*l. Give 5*b(v) + 2*p(v).\nAnswer: 4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/6 + a**2\/2 - 6297*a. Let g(c) = -c**3 - 6*c + 11. Give g(o) - 5*i(o).\nAnswer: -o**3 - o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -994*g - 89389. Give v(-90).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 7*v + 12. Let t be f(5). Let d be (-4 + t)*(-203)\/14. Suppose -33*h + 204 = -d*h. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 3. Let b be y(8). Suppose 2*t - b = -0*t + 5*f, 0 = -4*t - 2*f + 46. What is the units digit of t*(1 - (-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-8\/7)*d*d*d)\/d)**40)**(1\/23) assuming d is positive.\nAnswer: d**(520\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15910321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -124, 4, 2, 15, -4 in decreasing order.\nAnswer: 50, 15, 4, 2, -4, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/32 and 67\/22912.\nAnswer: 22912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-2)\/(-24). Let k = 14 - 16. Does k = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6 and -49\/411212.\nAnswer: 1233636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(2\/9)*k)*k\/((k*k**(2\/19))\/k))**(2\/11) assuming k is positive.\nAnswer: k**(-302\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 14. Suppose -5*s + 8*s = -12. Let w(f) = f - 14. Let q(r) = s*y(r) + 3*w(r). Let d be q(10). Sort -3, -4, d in increasing order.\nAnswer: -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 62.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 13. Let k be h(8). Let y = k - -6. What is the greatest common divisor of 36 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2280 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-29)*i*i)*i\/(i**(-35)\/i))**(1\/16))**(-4\/25))**40 assuming i is positive.\nAnswer: i**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiaqanapdnanaqiandi. What is prob of picking 2 n and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47610.74 centuries in millennia?\nAnswer: 4761.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43150 is divided by 5967?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 382 - 2146 = 0. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0. Let v be ((-4)\/(-8))\/((-7)\/(-679)). Let z = -49 + v. Is z less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.6 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -3 - -9 - 7) + -14.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 - -14. Let o be ((-2)\/5)\/(2\/(-70)). What is the highest common factor of o and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -143733301?\nAnswer: 143733305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - j - 5 - 6.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.87 + 0.13. Let q = 5 - d. Let p = 5 + -5.5. What is the third biggest value in p, 5, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-3) - 15*-1. Let v be (3 - 5\/2)*y. What is the highest common divisor of v and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 - 716\/(-10). Suppose -4*z - v = -193, -18*v = -15*v - 3. What is the highest common factor of z and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 135568*s + 1762382. What is r(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 3*b - 4*b**2 + 2*b**3 - b**2 - 3*b**3 to c*b**2 + w*b**3 + s + y*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:29 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 66, 143, 262, 429, 650, 931, 1278?\n\"Answer: h**3 + 12*h**2 - 2*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521205089 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 103.059 and 12.41024.\nAnswer: 115.46924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -4) + (-324)\/78. Let p = -136 - -954\/7. What is the nearest to -0.2 in h, -0.26, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441226519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -14 + ((-1090)\/(-40) - 13). Put b, -3, -0.0062, 1\/10 in increasing order.\nAnswer: -3, -0.0062, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 87 (c) 1\/5 (d) 4 (e) -458 (f) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 - z**5\/12 - z**3\/2 + 6*z**2. Determine y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-3 - -30) + -4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puuuufupuuuf. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10801 is divided by 2697?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2226 and 50\/21?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3694 and -41\/1680?\nAnswer: 3102960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Let m(f) be the second derivative of -f**4\/6 - f**3\/6 - 5*f**2\/2 - 124*f. Let l(d) = 2*d**2 + d + 4. Calculate j*m(c) + 4*l(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8040, -16058, -24078, -32100, -40124, -48150?\n\"Answer: -s**2 - 8015*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 734976 and 4631?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53479 - -53479. Let z(v) = v**3 - v**2 - v + 2. Let x be z(0). Solve m = -6*t + x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -11. Let s be (-2)\/3 + 4\/d. Let f(v) = -8*v**2 - 4*v - 3. Let q(r) = -7*r**2 - 4*r - 3. Let w(n) = 4*f(n) - 5*q(n). What is w(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16934480 is divided by 1101.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - b)*(2*b**4 - 3*b**4 + 3*b**4) - 4*b**5 - 3*b**5 + 5*b**5 + 22*b**5 - 23*b**5 + 19*b**2 + 2*b**4 + 0*b**4.\nAnswer: -5*b**5 + 2*b**4 + 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 9*s**2 - 11*s - 14. Let y = 145 - 135. Suppose y*p + 22 = -48. Is 7 a factor of h(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4346551 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 - b - 3. Let i(y) = -y**2. What is -c(z) - 2*i(z)?\nAnswer: 12*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 19*i - 931. Suppose i*f - 183 = 52*f. Suppose 2*j + 116 + 4 = 0. Is f bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36, 40, 44, 48, 52, 56?\n\"Answer: 4*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*g**3*q**4 - 2*g**3 - g**2*q**4 + 4*g + 28*q wrt q.\nAnswer: -492*g**3*q**2 - 12*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 = -2*k, -3*q = 4*k - 0*q - 11. Solve -4*r - k*o = -6, 0 = r + 2*o - 7*o + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -16*p + 12. Is 16 a factor of 1\/(p\/7) + 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37045.\nAnswer: 5, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let d(h) = -h. What is the units digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2457 - -0.0543. Is y greater than or equal to 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14640 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28091*k = 28159*k - 3264 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14055 and 5622.\nAnswer: 28110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/292 and -62\/365.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142713 (base 8) in base 16?\nAnswer: -4c5cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-3))\/(t*t\/(t**(-1)*t)*t))\/(t\/(t\/t**(-1\/2)*t)*t)**(4\/9))\/((t**(-6)\/t**(-4))\/((t*t\/(t\/t**(-3))*t*t*t*t)\/t**3)) assuming t is positive.\nAnswer: t**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-5)*l**(-1\/6)*(l*l\/l**(-3\/2)*l*l)\/l**5*(l**3*l**(9\/7))**(-4\/9) assuming l is positive.\nAnswer: l**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -308 - -446. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.6. Let x = 63 + -60. Let z(m) = m**3 - 7*m**2 - 1. Let w be z(7). Which is the closest to w? (a) 0 (b) x (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let z = r + -2. Let y = z - 1.0000017. Round y to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/10*(-25)\/(-10). Suppose -5*b = r*k + 6, 5*b - 4*b + 2*k + 6 = 0. Suppose b = -5*s - 9 + 194. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9755 = 626*f + 5030 + 10509 + 27394 for f.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 189*d**2 - 121*d**2 + 176*d**2 in the form b + m*d**2 + f*d and give m.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8696 divided by 2174?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/100 + 13\/10. Let c be 169\/25 + -5 + -2. What is the closest to c in -1, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 11*n + 19)*(3 + 3 - 3) + 2*n - 5 + 5 + (-2 - 2*n + 2)*(-3 + 2 + 3) + 0*n + 0*n - 2*n - 3*n + 0*n + 2*n to the form o*n + m and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 59 + 11 = 0. Let n = 40 + r. Let f = -10 + 5. Sort f, n, -3 in descending order.\nAnswer: n, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 15. Suppose 12 = 2*m + 2*m - t, 4*m + 5*t - 36 = 0. Let p be r(m). Suppose -o - 2*b + 70 = 0, -2*o + p*b - 4*b + 145 = 0. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 143*t**2 + 9*t - 7. List the prime factors of c(5).\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12576?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13315576 and -0.1.\nAnswer: -13315576.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -260.1 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*sqrt(26)\/sqrt(2))**2.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 minutes before 9:11 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -1.2. Let k = i + -0.8. Which is the biggest value? (a) 3 (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*i**2 - 3 - 2*i + i**2 to the form a*i**2 + b + k*i and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = t + 13 - 27, 4*t - 3*h = -1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = 5*j, 3 = j - g - 2*g. Let k be 9\/3 - j\/2. Solve m - k*m = -3*s + 13, 24 = -5*m - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 0) + 2 + 14. Suppose -3*u = -0*n + 2*n - 279, -n + 107 = -5*u. Calculate the highest common divisor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13700\/9 - 561766\/369. What is the common denominator of 1\/48 and q?\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469188857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1719)\/7 - (6 + -9). Let q = -242 - j. Let i = -31 + 34. Which is the second biggest value? (a) q (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79813, 159653, 239493, 319333, 399173, 479013?\n\"Answer: 79840*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16095164 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1007301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5580408790 rounded to the nearest one hundred thousand?\nAnswer: -5580400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 3*d - 30. Calculate the least common multiple of 322 and r(-4).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 + 775000*r**3\/3 - r**2. Let s be a(0). What is s rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-4)*4*-1. Suppose -3*n + 0*r + 1 = 2*r, -n + 2*r + 11 = 0. Calculate the highest common divisor of n and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + -4 + 8)\/((-3)\/105). Let m = -33 - f. Suppose -4*o = 3*a - 374, 114 = -a + m*a + 4*o. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/(-70))\/(4\/98). Let o be (-2)\/12 - 133\/t. Calculate the greatest common divisor of o and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 913\/(-748) - (-3)\/4. Let j = v + 39\/119. Let c be 2\/12 + (-2)\/12. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - (-5096)\/112)*8\/56.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 286*n - 20885. What is g(73)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + u)*(-2*u + 2*u + u**2) + 6*u**3 + 6*u - 6*u)*(0 - 3 + 11 + u**2 + u).\nAnswer: 7*u**5 + 7*u**4 + 56*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.003, -2, 9, 65, -2\/9, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 16) to base 11\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-6) - 16\/(-24). Suppose -k*u - 30 = -8*u. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 124109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {f: 3, h: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 6. Let z be j(-14). Suppose -4*f = -2*s - z, 2*f + 5*s - 20 = 2*s. Solve -f + 0 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/(-273) + (-2)\/(-7)*6. Solve 6 = 6*j - 3*j, 3*m - d*j - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21304806709 - 21304806915.99999986. Let g = d - -207. What is g rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 526*l**2 + 22. Let z(w) = 105*w**2 + 4. Calculate 2*n(b) - 11*z(b).\nAnswer: -103*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 11. Let j be p(13). Suppose -3*a - 630 = -3*x, x = -j*a - a + 222. What are the prime factors of x?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/60 - w**3\/2 + 19*w**2. What is l(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (108\/(-33))\/4 - -1. Let b = 81 + -82. Let p be 8 + -9 + b + (-3)\/(-1). Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 71219.\nAnswer: -4\/71219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-5 + 2)*-1. Let y be (15\/i)\/((-3)\/(-9)). Put y, -2, 5 in decreasing order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 17*m + 24. Let t be x(7). Let w(u) = u + 10. Let r be w(-5). What is the first derivative of -3 - r*f**4 + 1375*f**3 - 1375*f**t wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13658*w**2. Let z(n) = -822*n**2. Determine o(z(k)).\nAnswer: 9228492072*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612) + -4*(0 + sqrt(17)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62497 - 62493. Let 15\/2*g - 3\/4*g**k - 9\/4 + 9\/2*g**3 - 9*g**2 = 0. Calculate g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n + 0*n)*(3*n - n**2 - 3*n) + n**3 + 14*n - 30*n - 19 + 14*n.\nAnswer: -2*n**3 - 2*n - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 198 = 2*v, -5*v = 2*n - 6*n - 44 + 130 + 79 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 249 + -248.742. Let m = -0.258254 + g. Round m to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 not equal to -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2 - 1 - h - h**3 + 3*h + h**2. Let s be f(-1). Let n = 4735 - 4733. Solve -n*x + s = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18100, -72435, -163004, -289807, -452844?\n\"Answer: -18117*h**2 + 16*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 25 = 5*w. Let q = w + 7. Find the first derivative of -y + 2 + 2 - y - q*y wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uqu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -52.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfzi when four letters picked without replacement from wtfczfzi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32185688.\nAnswer: 2, 31, 233, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124511514475 - 478.\nAnswer: -124511514953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 9*w**2\/2 + 12*w - 8.\nAnswer: (w - 4)**2*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10572*j + 560 = 10607*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15)*(-155250)\/1620*2*(-6)\/(-15)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32044233 (base 6) in base 14?\nAnswer: -1a6421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626406377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 746338 and 824.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from jfffjjffffj.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*r - 156456 = 151368. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 228.1162 years?\nAnswer: 22.81162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552448.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, 1 q, and 1 x when four letters picked without replacement from {x: 2, g: 2, e: 1, q: 1, o: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -28*q - 168. Suppose 8*v + q = 44. Factor 4\/15 - 2\/15*t**v - 2\/15*t.\nAnswer: -2*(t - 1)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/120 - v**5\/60 + v**4\/24 - v**2. Let a(i) = -i**3 + 2*i**2 - 2*i. Let f = 69 - 72. Calculate f*s(l) - a(l).\nAnswer: -2*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/9143 and -55\/102?\nAnswer: 932586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2275, -9066, -20361, -36166, -56487, -81330, -110701?\n\"Answer: -y**3 - 2246*y**2 - 46*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 12*u**2 + 20*u + 2. Let i be t(10). Let z be (i - 5)*7\/(-7). Suppose 2*k + 5*j = 12, -5*k - 8 + 3 = -5*j. Solve k - z = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.79 and -21809.9573.\nAnswer: -21808.1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(2*u + 2*u - 6*u) + 0*u + u + 0*u)*(1879 + 900 - 7411).\nAnswer: 13896*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -609600 divided by 5\nAnswer: -121920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 21*c + 35. What is w(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 0*b + 81*b**2 - 253*b**2 + 78*b**2 + 196.\nAnswer: -94*b**2 + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 48. Solve z = -s - 2*s + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g = 6*g + 376 - 87 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000159658564 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*h + 0*h + 11425176 = 0, 2*b + 22850338 = 3*h. Let n = 23725172 + b. Suppose 2*s - 3*s = -n. What is s rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2057))*4 + 5 + -1.\nAnswer: 12 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -9. Suppose -89 + 29 = -2*y. Let j(w) = y + a*w - 30. Let d(f) = -5*f**2. What is d(j(t))?\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*s + 0*s = 0, y - 2*s = 0. Suppose 4*h - 5*f + 35 = 0, 109*f - 113*f + 28 = -10*h. Solve y = 3*o - 2*p - 3 + 1, 4*o - 2*p = h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/(-36) - (-2)\/6. Suppose 5*h - f = 7, j - 4*h + 1 = 0. Suppose -2*k = 4*z - 3*k - 38, j = z + k. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370870732 to the power of 1\/2, to the nearest integer?\nAnswer: 19258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/47 in 0.2, -6\/23, -4, 45?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5, 772*z = -2*c + 771*z + 3. Solve 4*r + c = 4*t, -6*t = -3*r - 2*t - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 3*i. Let d(b) = 6*b**2 + 12*b. Let c(p) = 3*d(p) + 12*r(p). Let m(w) = 346*w. Calculate m(c(y)).\nAnswer: 2076*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - 2*s**2)*((2 + 1 - 2)*(6 + 1 - 3) - 4 + 0 + 5) to o*s**2 + t + h*s and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4241 + 4246. What is the closest to 17\/23 in 3, -0.5, n, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4595.\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by (-11256)\/(-156) + 18\/(-117).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u**4 - 33*u + 9. Let z(y) = -2*y**4 + 4*y - 1. Let h(x) = -4*c(x) - 33*z(x). What is the derivative of h(r) wrt r?\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 22*h = -29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 - 177.6. Let d = 2.1 - 0.1. What is the closest to d in p, -5, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 823*l = 2442*l - 668*l + 64668 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -641 (base 12) in base 11?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 49222116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475748 is divided by 237868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 8*h**2 + 16*h + 19. Suppose 5*r + 2*w + 58 = 0, 3*r - w + 32 = 6. Is l(r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11312 (base 12) to base 13.\nAnswer: -a574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:30 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -1431040021?\nAnswer: 1431034441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*r - 145 = 0, -m - 5*r = 2*m - 53. Let c be (57\/3)\/(26\/338). What is the greatest common factor of m and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.0662 tonnes in milligrams?\nAnswer: 100066200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brrbbpb. Give prob of picking 1 b, 2 r, and 1 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -239 * 7\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 19139, -18.\nAnswer: -18, 3, 7, 19139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgeddqegdeqgddydydd. Give prob of picking 2 e.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183671790 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:42 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361829 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -204*y + 20742. Determine w(118).\nAnswer: -3330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923096203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -107\/49 + -1175\/539. Let f = -2172299685\/407 - -5337342. Let h = f - 36\/37. What is the common denominator of h and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -0.0612?\nAnswer: 7.0612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4 (c) -18 (d) 3 (e) -2\/3 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -252, -341, -436, -537, -644?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 + -101011?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c06 - c9?\nAnswer: 2b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 = -0*p. Let k be -2 + (-3 - p) - -63. Suppose 0*z - 177 = -3*z + 3*y, 0 = z - 3*y - k. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 0*m = -5*m. Calculate the smallest common multiple of 8 and m + 2 + -2 - (-1 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*a - 96 + 274. Solve -3*p = -s - 10, -p - 34 = -a*s - 44 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7*a - 112 = -3*a, 50 = 2*m - 4*a. Let h be (5 + -11)\/6*-5. Sort m, -1, -2, h in descending order.\nAnswer: m, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 6 - 51. Let h(x) = 14*x**2 - 4*x - o*x - 13*x**2 - x + 10. Let y be h(7). Solve y*j + 8 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(72*c**3 - 176*c**3 - 154*c**3) + 0*c**3 + c**3 - 5*c**2 + 7*c**2 - 2.\nAnswer: -257*c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183983 is divided by 2743?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, y: 3, q: 7}. Give prob of sequence ydyy.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*l - 1302 = -153*l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*z + 221*z - 368 - z**2.\nAnswer: -z**2 - 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oof when three letters picked without replacement from {y: 1, f: 6, h: 2, o: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(2\/5))*z))**(-25)*(z**1\/z)**50*(z\/(z\/z**(-2\/5))*z\/z**5)\/(z**(-4\/3)\/z**(2\/11)) assuming z is positive.\nAnswer: z**(-2126\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1006 - 101542?\nAnswer: -102550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233214 divided by -38?\nAnswer: -32453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1)**37*((i*i\/i**4)\/i)\/i*i*(i\/(i\/i**(-1\/10)))\/i assuming i is positive.\nAnswer: i**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 13*y**2 - y + 4. What is the thousands digit of s(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1232382 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 23*a**2 - 23*a - 18. Let k be n(-22). Suppose -5*j = -k*j - 5*j. Suppose -2*q = -g - q + 29, j = -g + 3*q + 31. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4544041 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-4)*-3*(-2)\/(-6) + 40\/(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 9*a - 6. Determine x(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -14380.\nAnswer: -1\/7190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, c: 9}. What is prob of sequence ccww?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1 - -3) + (59 + -6 - 60)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**3 - g**2 - g - 1. Let l be w(2). Find the common denominator of -11\/20 and (-1)\/20*(l + -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:07 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 305*f - 309*f - 7 + 26, 0 = -2*f + 5*b - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2482 + 2486. Which is the closest to 11\/2? (a) l (b) 3 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 27 and -0.309394 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927366322?\nAnswer: 2, 431, 769, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-137 - 0) + -2 + 5. Is (g\/(-4))\/((-10)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-21) - (-2 - 32\/(-28)). What is the greatest common factor of 93 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5819*y**3 - 2887*y**3 - 2916*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let f = 3.8 - a. Let l = -45\/4 + 43\/4. Put l, 0, f in descending order.\nAnswer: 0, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 464 and 1888944.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 33*f**3 + 0 + 2*f**2 + 31*f**3 + (0*f + 3*f + 4*f)*(-9*f**2 - f**2 + 0*f**2) + 4*f**3 + 0 + 0 to k*f + b + p*f**2 + i*f**3 and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 351 + 271 - 622.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57745?\nAnswer: 5, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1004?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478599921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49123 by 4.\nAnswer: -49123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6402 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 76796*g - 1612715. Calculate r(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4 - 4)*(-4*t - t + 3*t) + 0*t**2 + 0*t**2 - t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -r, 6*r = r + 25. Solve -u - 8 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a. Let c = 332 - 333. Calculate w(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25589, 47727, 69865?\nAnswer: 92003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1418*j*u**4 + 10*j*u**2 - j*u - 7*j + 37*u**4 - 21*u**2 + 3*u wrt u?\nAnswer: 34032*j*u + 888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*o - 168*o = y - 7, -y - 2*o = -3. Which is smaller: y or 0.058?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440 = 20*w - 1580 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**(-12)\/(((t*t\/t**2*t)\/t)\/(t**(-1\/21)*t)) assuming t is positive.\nAnswer: t**(-232\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -81, -97, -113, -129, -145?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 60640*i + 242576.\nAnswer: -(i - 4)*(i + 60644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 6*x)*(6 - 1 - 3)*(4*x - 6*x + 10*x).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 9*b - 15*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*(-28)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + c = -12779, t - 127 = 2*c + 3059. Calculate the least common multiple of 340 and t.\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 11*w**2 - 2*w - 8. Let z be c(5). Let r(g) = -2*g + 9. What is r(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 30*j**3 - 126*j**2 - 98*j.\nAnswer: -2*j*(j + 1)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-306)\/106080*-10760\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 136*h + 53. Let v = 327 - 328. Let j(f) = -f - 1. Let r(w) = v*o(w) - 4*j(w). Differentiate r(u) with respect to u.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/5 - 196288*a - 24080611840 = 0. What is a?\nAnswer: -245360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:16 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-16)\/(16\/4). Let a = -1.4 - -0.4. What is the closest to g in -0.4, a, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -617*m**5\/20 - 3*m**4\/8 + 4*m**3 + m**2 + 4588. What is the second derivative of c(s) wrt s?\nAnswer: -3702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.55 - 0.05. Let u = 0.49991 - z. What is u rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 27*h + 220. Let x be f(-8). Solve 0 = d - x*c + 17, 3*d - c = -10 + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 + (-6)\/(-4) + 176088\/176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332316.\nAnswer: 2, 7, 31, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746329785.\nAnswer: 5, 349265957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 25820*x\/3 - 6216704.\nAnswer: -2*(x - 12142)*(x - 768)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 78. Let n be 6\/15 - (-21)\/g. Let o = -96\/13 + 929\/117. Does n = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-42)\/12) + (8 - 3). Let c(s) = -3*s**2 - 7*s + 2. Let g(j) = -12*j**2 - 3 - 3 + 21*j + 20*j**2. Let o(f) = -11*c(f) - 4*g(f). Calculate o(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 19090 - 15565. Is c less than or equal to 3526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*t - 40*t - t**2 + 0*t**2 - t**2 in the form o*t**2 + j*t + f and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12721317 + -12720341.99154. Let d = -975 + k. Round d to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + 16 - 52) + 1 + (0 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 344443427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 193ee3 + 1f1?\nAnswer: 1940d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 + 3830 - 1919 - 1913 + 3*c + 6*c**2. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 60. What is the nearest to 1 in 2\/13, -0.5, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299841616?\nAnswer: 2, 81240101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, w: 4, n: 2}. What is prob of sequence ffnw?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -26*r**2 - 13*r - 1. Give i(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 + -4 - -3) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 3\/4, 2\/17, -15 in descending order.\nAnswer: 3\/4, 2\/17, -15, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 160?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 13*p**3 + 208*p**2 - 235*p - 243. What is l(-17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 2. Let m(c) = -6*c**3 - 10. What is 3*m(j) + 14*n(j)?\nAnswer: -4*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14668653*u**2. Let t(j) = -3*j**2. Calculate t(b(v)).\nAnswer: -645508142503227*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d + 21. Let f be n(2). Suppose -f*h + 8 + 44 = 0. Factor 0*p**2 + 1\/3*p**h + 1\/3*p**5 + 0*p**3 + 0 + 0*p.\nAnswer: p**4*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1873892*l**5 - l**3*o + 16*l**2*o + 853414*l*o wrt l.\nAnswer: -112433520*l**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4\/5*w - 2\/5*w**3 + 1\/5*w**4 + 4\/5 - 3\/5*w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r + 5. Let h be g(-8). Suppose 0 = h*y - 4*j - 139, 2*y = 3*j + 3 + 54. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0 + 0)*((-1 + 2 - 3)*(k + 2 - 2) - 5*k + 3*k + 3*k)*(-2 - 3 + 7 + (5 + 6 - 5)*(-3 + 2 + 0) + 1 + 0 + 0)*(1 + 0 - 2).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/6 + 4*g**3\/9 - g**2\/3 - 7. Find y such that x(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 28. Let k be o(-8). Suppose 60 = b - k*b. What are the prime factors of 1*(-135)\/b*(-8)\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35516 times 1\nAnswer: -35516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 26 + 34. Suppose -3*c - 3*v = 13 - 1, 0 = 5*c + 4*v + j. Let p be (c\/(-6))\/(3\/9). Calculate the highest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:38 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 10*v + 15. Let y be t(20). Suppose y = 3*w + 2*g, -9*w + 3*g + 281 = -5*w. Which is bigger: 72 or w?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 1045*g - 70961. What is h(73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100111 + -10100101?\nAnswer: -10001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -152656 + 1073?\nAnswer: -151563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**4\/12 - 4*x**3\/3 - 2*x**2. Suppose q = -0 - 6. Let h be n(q). What is the highest common divisor of h and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from szsszzzssszsszzcas.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3452483\/92 - 37527. What is the third smallest value in -2\/3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in millimeters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-10))\/y)\/y**(-5))**21 assuming y is positive.\nAnswer: y**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314233213 (base 5) to base 3.\nAnswer: -2111010011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35262 minus -0.4?\nAnswer: 35262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 15*i**2 - 5. Let n be z(-15). Let t = -3 - n. Determine w so that 2\/7*w**3 + 2\/7 - 2\/7*w**t - 2\/7*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k - 3*k)*((0 + k**2 + 0)*(4*k**2 + 1 - 1) - k**2 + k**2 + 2*k**4) - 2*k**5 - 2*k**5 + 8*k**5.\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - -2) + -1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 m, and 1 w when four letters picked without replacement from wqmmdddbwmdmdq?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3805 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-30) + (-54)\/(-10). Suppose -4*v = -4*q - 76, -z*v + 0*v - q = -89. Let p = -15 + v. 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 -0.00113814 rounded to five decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**5\/30 + 10*y**2. Let x(c) = -2*c - 24. What is s(x(i))?\nAnswer: -8*i**2 - 192*i - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5228.671 + -16.129. What is p rounded to the nearest 10?\nAnswer: -5240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.095 * 0.2\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3936)\/5248)\/(11\/12).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2287baa (base 12) to base 7.\nAnswer: 110342542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 31*r**2 - 4*r - 5. Is 63 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/36)\/((-31)\/(-93))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 20*m - 28. Let i be q(-8). Let z be i\/((-3)\/3) - -3. Calculate the remainder when 77 is divided by -1*z\/(-15)*(-3 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 16. Suppose 0 = -0*t - t + 12. Calculate the smallest common multiple of f(t) and 1*(-1 - (-5 + (-6)\/(-3))).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c + d, -4*c + 2 = 5*d - 3*d. Solve -c*t + 6 = -3*i, -4*i - 8 = -0*t - 3*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a - 8. Let p = a + 6. Suppose 9*o + 10 = p*o - 2*h, -3*o - 15 = 3*h. Solve 3*b - 4 - 5 = o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 10*l**2 - 13*l. Let c be m(-9). What is the highest common divisor of c and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-2\/21))))**(-44)\/(z**(-3\/7)\/z*z*z**20\/z) assuming z is positive.\nAnswer: z**(-1226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, q: 7, d: 2, r: 7, x: 1}. What is prob of picking 2 r and 1 i?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.8. Let y = -2.8 - m. Let l be -3 - (-2 - 16\/12). Which is the biggest value? (a) l (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*x = -6 + 16, -12 = 3*j - 3*x. Let n(l) = -l**3 - 2*l**2 - l + 1. Let i be n(j). List the prime factors of i\/5 + (-28)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, x: 1, b: 1, z: 3, k: 2, h: 1}. What is prob of picking 1 z, 1 n, and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4610*d - 4093*d + 120169 - 293324 - 375134 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = r - 4*k, r - 106 = 5*k - 79. Let m be 8\/3 + 6\/(-9). Let n(p) = 3*p**2 - 4*p + 2. Let i be n(m). Solve -5*c - 2*h = i, -4 = -r*c - 3*h - h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 15 + (-42)\/11 + 10\/(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3178 + -3177. Sort z, -7\/6, -0.1, 5 in ascending order.\nAnswer: -7\/6, -0.1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 986 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 792. Find the common denominator of -67\/84 and (-262)\/y + (-35)\/(-105).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 1. Let z(w) = -8*w**2 + w - 2. Let q(d) = 6*t(d) - z(d). Suppose -7*p + 9*p = 0. Suppose p = -n - 2 - 1. What is q(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -17. Suppose -3*j = 9, f*t - 2*t - 3*j - 101 = 0. Is 0 + -4 + 0 + t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -7*s**2 + 18*s - 79. Let a be n(1). Solve 3*q = 4*d + 1, 0 = -a*q + 3*q + 3*d - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, -2, 0 in ascending order.\nAnswer: -5, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -35.4481.\nAnswer: -35.1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328097?\nAnswer: 97, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 31 = -2*p + 3*n, 0 = 2*p - 4*n - 18. Suppose u = 4*g - 18, -3*g + u + 5 = -9. Sort p, 1, g in ascending order.\nAnswer: 1, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005223198 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3564 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1. Let w(y) = -6*y + 3. Let i(k) = 14*k + 283. Let v be i(-20). Let s be -1 + -4 + 0 + v. Calculate s*c(p) + w(p).\nAnswer: -6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 1531*h**3 + 858975*h**2 + 210510625*h + 19086437500 = 0 for h.\nAnswer: -556, -325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14689, 29360, 44005, 58618, 73193, 87724, 102205, 116630?\n\"Answer: -z**3 - 7*z**2 + 14699*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**3 - 2*m**2 - 1\/210*m**7 - 1\/336*m**8 + 1\/120*m**6 + 0*m + 1\/60*m**5 + 0 + 0*m**4. Factor s(p).\nAnswer: -p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.5 - -16.5. Sort 4, w, -4, 0.46.\nAnswer: -4, 0.46, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, g: 1, c: 1, d: 2}. Give prob of sequence dr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44387 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 3*t**2 + 42*t + 49518. Is 32 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/11, 1, -4 in ascending order.\nAnswer: -4, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2212.6 to the nearest ten.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(342)\/sqrt(2) + sqrt(1216) + 0 + sqrt(1216).\nAnswer: 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 6, -4*f - 5 = 3*a - 3. Let b be f\/(-2 + 15\/6). Solve 5*i - 3*j = i - 24, -b*i = -4*j + 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49551555 to the power of 1\/2, to the nearest integer?\nAnswer: 7039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -224, -788, -1890, -3710?\n\"Answer: -30*z**3 + z**2 + z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4607 is divided by 58.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -2)\/(1 - 2). Suppose 41 = b + 28. Let m be (-1 - (-8)\/6)*(b - 13). Solve -2*v = -m + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534 + 534. Solve -4*g + 4*r + r - 13 = f, g - 23 = -4*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 506*w - 45115. Determine t(-115).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 10. Suppose -66 = 3*w + 3*w. Let f = 26 + w. Is 8 a factor of t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.06 - -7.24. Let n = l + -0.3. Let x = 9.2 - n. What is the second smallest value in x, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:26 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24730653 is divided by 8243527.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1038 and 3455502.\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0, -48, -0.0061, 1.8, -2\/3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 2*o + 25. Suppose 49 = o*j - 31. Calculate the greatest common divisor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = -2*f. What is the second derivative of 4*i - 3*i - 4*i + 2*i + i**f wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 5. Let u be c(0). Let x(s) = s**3 - 4*s**2 - 4*s - 1. Let p be x(u). Factor h**4 + 14*h**2 - 8*h**2 - 9*h**4 - 21*h**3 - p*h**4.\nAnswer: -3*h**2*(h + 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(17) + (sqrt(17) - sqrt(17)*1*-5 - sqrt(17)) + 6*(-1 + sqrt(17))*6.\nAnswer: -38 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210111 - -113?\nAnswer: 210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 4*t + 27. What is x(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 299, 445, 589?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**7\/15 + 7*i**4\/8 + 32*i**2. Find the second derivative of o(u) wrt u.\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 + 2*o - 7. Determine l(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/60 + h**4\/12 + h**3\/3 + 4*h. Let o(x) be the second derivative of r(x). Give o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxxxjjxjxxjxjj. Give prob of picking 1 j and 1 x.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 609 (b) 1\/9 (c) -3 (d) 2\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*26917.\nAnswer: -538340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(8\/62) - (-12)\/(-6). What is the second derivative of 5*k**5 - 31*k**5 - 8*k**5 - t*k wrt k?\nAnswer: -680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871861 plus -186.06277?\nAnswer: 2871674.93723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -54.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/7)\/(1 + 0). Which is the closest to -2\/3? (a) 3\/5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433435858.\nAnswer: 2, 3947, 54907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/442)\/(35\/28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**7\/21 + 16*g**5 + 35*g**4\/2 + 3*g**2\/2 + g + 5. Find the third derivative of s(u) wrt u.\nAnswer: 120*u**2 + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/171, -5\/4, -630, -2 in increasing order.\nAnswer: -630, -2, -5\/4, -4\/171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8602.\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-83)\/(-14) + 3150\/(-700). Solve d*j**3 + 0 + 2\/7*j**4 - 18\/7*j + 6\/7*j**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7, f: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*t + 14 = 0, 4*p - 9 + 38 = 5*t. Let k be 3\/((-45)\/p)*-5. Let o be (-4 + 3)\/(k\/(-166)). What is o rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**5\/20 + m**4\/16 + 56. Suppose z(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*s - 6*s + 19, 4*o + 12 = 4*s. Let n(p) = -2*p**2 + 2*p - 3. Let k(f) = -2*f**2 + 2*f - 4. Let v(q) = 2*k(q) - 3*n(q). Calculate v(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -36. Suppose -5*t + p + 145 = 4*o, -2*o - t + 73 = 0. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34516 by -2.\nAnswer: 17258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*b - 1293 = -21*b - 13468 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 6. Let v = h - -12. What is the nearest to -0.1 in v, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73475.65 and -1175594.\nAnswer: -1102118.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -145226 (base 10) to base 8\nAnswer: -433512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1151 is divided by ((-136)\/(-306))\/((-2)\/(-12))*9?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/10080 + g**7\/1008 + g**6\/360 + g**5\/15 - g**2 + 25. Let x(l) be the third derivative of k(l). What is x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/61, 4\/9, -1, -0.68.\nAnswer: -3, -1, -0.68, 2\/61, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801780 divided by 4980.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 - -8 - -12)*1. Suppose -2*b - 24 = -4*q, b + 8 = -b. Suppose -4*i - q*j + 20 = 0, -i + 13 = -0*i + w*j. Are 3\/13 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(((-3136)\/(-63))\/(-32)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 126.5. Let i = -48.01 + t. What is i rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1643639958?\nAnswer: 2, 3, 2803, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5*x - 11, -3*x + 4*z + 17 = -0*x. Suppose -o + 3*t = 3*o - 15904, -x*o = -2*t - 11927. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5609076 and 2662.\nAnswer: 61699836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/27 and 77\/4644.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/9)*x*x)\/(x\/(x\/(x**8\/x))))\/(x\/(x*x\/(x**(2\/11)*x))*((x**(-2)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(-62\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3*-19162\nAnswer: -57486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 50*k + 34. Is 21 a factor of z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2. Let g be 18 - (2\/(-10) + 32\/(-40)). Let u(h) = -7*h + 31*h - g*h. What is u(b(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7664 (base 15) to base 11.\nAnswer: 17920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 1986 = 8634. Calculate the remainder when q is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 3*o - 8, 2*i - 12 = -o. Solve -3*v + 35 = -o*p, 6*p + 30 = 2*v + 2*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 1, -58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4674 + 1.5. Let g = -0.036 + j. What is g rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(3 - 49\/63 - 2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58365 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, y: 3, p: 3, z: 1}. Give prob of sequence pyp.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74641003?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 - 56 - 138*n.\nAnswer: -138*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6062*o**3 + 6060*o**3 - 12071*o**3.\nAnswer: 51*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 419\/3, -14, -60276?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 2717?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17817555 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**3 + 7237*l**2 + 2*l + 5187?\nAnswer: 18*l + 14474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109445499 to the nearest integer?\nAnswer: 10462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + 171.9. Let x = h - -51. Let t = 226.000535 - x. What is t rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823 - 753 = 7*m. Calculate the highest common divisor of 2455 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 16. Let i = 6019 - 6013. Solve -s + t = -i*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.052 + -5.552. Let u = g - -5.4. Is u at least as big as 2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**6\/360 - p**5\/120 - 7*p**4\/24 + 4*p**3\/3 + 3. Let t(q) be the third derivative of b(q). Give t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13692847747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3908 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(-14468*s - 4064*s - 15227*s - 16006*s) in the form n*s + t and give n.\nAnswer: -99530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Let r(j) = -2 + 4 + 3*j - t*j. Give r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(3\/5))**(-6\/7)*(((b*b**(1\/5))\/b)\/b)\/b**(-9\/2) assuming b is positive.\nAnswer: b**(103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 5 + -8 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*w - 3*g = -257*w + 460, -5*w + 575 = 2*g. Suppose 5*u = -0*u + 230. Calculate the highest common divisor of u and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 23. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.052, 0.4, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -10112010103?\nAnswer: 10112010103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 20*q - 96 = 48 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21044 - 21043.936921. Let x = -0.063 + j. Round x to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61099 divided by -1390\nAnswer: 61099\/1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13816*o**3 + 5*o + 13815*o**3 - 3*o - 2*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-147)\/(-176302)). Let p = a - -600. Let x be 1\/(-3)*(-3)\/4. Put 5\/4, p, x in ascending order.\nAnswer: x, p, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - m**3 + 1005 - m**2 + 1012 + m**2 - 45*m**4 - 2020 in the form n + c*m**4 + i*m**2 + q*m**3 + k*m and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 19*m + 2. Suppose 0 = -2*r - 3*r - m*c + 8, 0 = 5*c + 15. Let a(l) = 23*l**3 - l**2 + l - 1. What is the least common multiple of r and a(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -19*c**2 + 4*c + 12. Let b(k) = k. Calculate o(b(n)).\nAnswer: -19*n**2 + 4*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5932, 11849, 17698, 23479, 29192?\n\"Answer: -34*u**2 + 6019*u - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.1534 - 1.3?\nAnswer: 183.8534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b - 2*b**3 - b)*(1 - 1 + 1) - 47*b**3 - 56*b**3 - 13*b**3 + (-2*b**2 + 11 - 11)*(2*b + 2*b - 3*b))*(3*b**2 - 7*b**2 + 3*b**2).\nAnswer: 120*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3141 * 2.561\nAnswer: 8044.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 38 = -5*y, 0 = -5*b + 242*y - 238*y - 7 + 72 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 20*l**2 - 20*l + 20. Let y be s(-19). Let d = 7 - -1. Suppose -d*a + 5*a = -y. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 2. Suppose 3*g - 66 = -0. Calculate the lowest common multiple of a(3) and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83888201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 0*y)*(-y + 4*y - y) + 18*y**2 - 2*y + 2*y + (-5 + 5 + y)*(3*y - y - 5*y).\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, -230, -816, -1646, -2726?\nAnswer: -4062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or -235999\/610?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 + 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.809676 rounded to zero dps?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 3*s**4\/2 + 23*s**2. Let l(o) = o. What is v(l(f))?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/4 + 25*f**4\/6 + 15*f**3\/2 - 6*f + 18. Factor i(w).\nAnswer: 5*w*(w + 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*w - 92, 0 = 4*j - 2*w - 0*w - 214. Solve -f = 4*y + 24, -5*f + 16 = 4*y + j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646, 647, 648, 649?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 2*h - h**2 - h to the form l*h**2 + c*h + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -61. Suppose -3\/4 + 0*d**3 + 0*d - 3\/4*d**v + 3\/2*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690279483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 9. Let m be j(6). Let n(u) = u**3 - 4*u**2 + 3*u + 2. Let o be n(m). Suppose -18 = -2*q + 3*h - 7, -o*h - 1 = 5*q. Is q <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89\/31085 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -1\/6*v**3 + 12*v + 7\/2*v**2 + 0. Give m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:18 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-954338)\/(-451) + 6\/(-123). Calculate the greatest common divisor of p and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 31014?\nAnswer: 124056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2703577 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {t: 4, k: 1, h: 4, d: 3, i: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 91*z**2 - 360*z + 164. Calculate g(41).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11518526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(3\/210). Let k = -72 + 73. Let p = k - z. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213233412 (base 5) to base 3\nAnswer: 1201110221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 18. Give d(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.85 + 4.15. Which is the second smallest value? (a) d (b) -23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -3) + -3 - -1. Suppose u*l - 2*v = -26, 0 = -4*l + 3*v - 4*v - 29. Let f(t) = -t**3 - 8*t**2 - 10*t - 5. Give f(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 332*c**2 + 676*c + 340.\nAnswer: -4*(c - 85)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 3:23 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4*o - 3)*(-3*o**4 + 3*o**4 + o**4)*(106 + 178 - 499).\nAnswer: -860*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2\/5 (b) -36 (c) -19 (d) 3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 s, and 1 y when four letters picked without replacement from {j: 1, i: 5, s: 7, y: 1, x: 2}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5711*p - 2440 with respect to p.\nAnswer: -5711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 5. Let c(z) be the first derivative of r + z**2 + 0*z - 1 - 4*z - 2*z. What is the first derivative of c(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.46789g to kilograms.\nAnswer: 0.04346789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53721 - -2638. Let y = 10257419\/182 - l. Find the common denominator of 87\/16 and y.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 - 22 - (9 + -13))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4202924671?\nAnswer: 11, 17, 197, 114089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807.7712043 rounded to one dp?\nAnswer: 1807.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -139, -3 in increasing order.\nAnswer: -139, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -5*b**3\/6 + 21*b**2\/2 + 2*b. Is d(-8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 552*c**3 - 5668*c**2 - 922944*c - 11182336.\nAnswer: -4*(c - 88)**2*(c + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 7:21 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f + 4. Let d be 4\/6*-1 - -1. Let p = 323\/84 + -41\/12. Which is the nearest to -2? (a) p (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbbbbpphphp. What is prob of picking 2 h?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -5\/3*z**3 + 0 + 0*z**2 - 2*z. Let t(m) = 2*m. Give g(t(s)).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*s**2 - 20*s - 875*s**2 + 116*s + 90*s - 3*s - 3 wrt s.\nAnswer: -1792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**8\/4032 + x**7\/336 - x**5\/4 + x**2. Let y(r) be the third derivative of i(r). Factor y(c).\nAnswer: 5*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 14892286.\nAnswer: -8\/7446143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*o + 7, 2*l - 1 - 2 = -3*o. Let q(m) = -7 - l*m + 4 + 3. Let i(u) = -3 + 3 + 2*u. Calculate q(i(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -12. Suppose x*w + 2*w = 0. What is n in 2\/3*n**2 - 2\/3*n**4 + w + 2\/3*n - 2\/3*n**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 13*s + 13. Determine u(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/15 + 31509286*k\/15 + 15754642\/15.\nAnswer: 2*(k + 7877321)*(2*k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 = 3*t, 2*t + 0*b + 2*b = 8. Suppose u + t + u**2 + u**3 + 0*u - 4*u**2 - 2*u**3 = 0. Calculate u.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1511ca4 + 1?\nAnswer: -1511ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004476791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*b + 19, -2*b - 79*q + 370159 - 370090 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 - ((-10)\/5 - 2). Factor 4*z**4 - 11*z**2 + 67*z**3 + 6 - z**l - 71*z**3 + 2 + 4*z.\nAnswer: 4*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343 - 340 - (-2 - (-2 - -22) - -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829979929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 0, -5 in ascending order.\nAnswer: -5, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2. Let y(k) = 1136680*k**2 + 0*k + 0*k - 1136679*k**2. What is i(y(o))?\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1319*a - 9232. Calculate z(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3168249.5 rounded to the nearest one thousand?\nAnswer: -3168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*x**4 + 509513*x**3 + 18240*x**2 - 9*x wrt x.\nAnswer: 312*x + 3057078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**2 + 6*h + 6. Let b(d) = -17*d**2 - 9*d - 9. Give 5*b(q) + 8*o(q).\nAnswer: 3*q**2 + 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p**2 - 99*p + 2600. What are the prime factors of c(25)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 20. Let w(l) = -l - 1. Let x(p) = -p**3 - 4*p - 5. Let m(r) = d*w(r) - x(r). Find the first derivative of m(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -1\/3, 0, -29, 0.2 in descending order.\nAnswer: 0.2, 0.05, 0, -1\/3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01697 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let r(h) = 14*h - 9*h - 10*h**2 - 5*h. Give r(b(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5833?\nAnswer: 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/2 + 15*f**4\/2 - 357*f**3\/2 + 1421*f**2\/2.\nAnswer: f**2*(f - 7)**2*(f + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-8 - 7). Suppose 5*u - 3*k - 19 = 0, 5*k = u - 4 - 13. Suppose -u*t - 3*t = 15. Put 5, f, t in ascending order.\nAnswer: f, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 16 = 3*v - 6, -24 = -4*v + 4*j. Let p be (-2)\/(-2)*1 + v. Is 27 a factor of p\/(((-2)\/(-596))\/(3\/18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 28453941?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-1)*9\/18. Let n = 6 + -5. Let m(x) = 3*x - x**2 - x**2 - 5*x - n. Determine m(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 92*i - 107. What is the tens digit of t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - z - 15 + 0*z**3 + z**3. Let g be (104\/(-13) - -8)\/3. Determine v(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2813 - 2812.08. Put x, -0.5, -2, 2\/3, 2 in increasing order.\nAnswer: -2, -0.5, 2\/3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 22, -11, -78, -191, -362, -603, -926?\n\"Answer: -2*z**3 + z**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -28707434?\nAnswer: -114829736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*b - 2*b = -895, 3*m + 5*b = 537. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4406*p*z**3 - p*z + z**3 - 35*z - 2 with respect to p.\nAnswer: -4406*z**3 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*x**3 + 3*x**2 - 96*x.\nAnswer: -486*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -48*s + 102. Let y be j(-1). What is the highest common factor of y and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19082, 38128, 57176, 76226?\nAnswer: 95278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 48, 42, 14, -48, -156, -322?\n\"Answer: -2*b**3 + b**2 + 5*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-93*b**2 - 628 + 628)*(-21*b - 27*b + 47*b + 6 + 1)*(3 + 4 - 1) as h + g*b**3 + o*b**2 + l*b and give o.\nAnswer: -3906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25314 - 25397 - 75*l + 50709.\nAnswer: -75*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/7)\/(o*o**4*o)*(o**(2\/7))**(-5\/14))**6)**42 assuming o is positive.\nAnswer: o**(-11772\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 6*v**2 + 2*v + 1. Let o be ((-6)\/(-9))\/(2\/3). Let b be 2 + 3 + o\/1. What is the remainder when 24 is divided by m(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 + 13*x**2 + 4*x**2 + 7*x**2 to the form c*x + r + z*x**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60771 = -80*f + 1689653 - 370584. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48553262449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*y**3 + 104 + 10*y**2 - 5*y**2 - 106 - 2*y in the form r*y + p*y**2 + x*y**3 + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -902 + 914. Solve 0 = -5*n + g + 8, 5*c - 4*n - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1047659807 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(245) + sqrt(50)\/sqrt(40).\nAnswer: -27*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35179 - -35611. Calculate the greatest common divisor of r and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -13*t**8\/336 - t**4\/12 - 12*t**2. What is the second derivative of w(o) wrt o?\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 + 2*b - 3. Let j be s(4). Let c = 166 + -22. Suppose -c = -j*u + u. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56195*g**2\/2 + 337205*g\/4 - 105\/4.\nAnswer: -5*(g - 3)*(22478*g - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**5\/60 - w**4\/12 - w**3 + 10*w**2. Let j be a(-2). Let r(g) = 4 - 3 - 2*g + g. Give r(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*(-220)\/3036*(-18)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150324, -300663, -451002, -601341, -751680?\nAnswer: -902019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120\/42*(-56252)\/(-1960)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2\/3*k**3 - 7*k - k**2 - 1\/20*k**5 + 0 + 5\/12*k**4. Give a(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21901 >= -21903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7469\/4 - 1886. Find the common denominator of (1\/4)\/(4\/808) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 319 = -9*a + 8*a, 0 = -4*a - 8*q + 1272. Does 114 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p + 205772 - 103140 - 102632.\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - x)*(9 - 9 + 3*x)*(-2*x**3 - 3*x**3 + 4*x**3).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 92737456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -5)*123\/5. Let z = -13 - t. Let b = 168 - z. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 104, 0.02, -1\/7?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -5.1. Which is the nearest to -1.2? (a) s (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/4 + 429*w\/2 + 61347\/4 = 0. What is w?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 9. Let m = -56 - -113. Suppose -3*a + 15 = -m. What is the remainder when a is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x + 110*x - 27*x + 536.\nAnswer: 99*x + 536","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32961530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2327760 divided by 6?\nAnswer: -387960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(d - d + 2*d**2) - d**2 + 2*d**2 + 2*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let v be (-1 - 5)*(-1 - (-5)\/10). Let g(j) = -5*j + 13. Let s be g(3). Sort v, 5, s, i.\nAnswer: s, i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 38*s**2 + 0 - 34*s**2 + 8*s - 2. Let w(f) = 3*f**2 + 7*f - 2. Give 5*g(k) - 6*w(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4483 is divided by 1120.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 5*o**3 + 8*o**3 + 2 - 24*o**3 + 17*o**3 + o**2 as h*o**3 + p*o**2 + z*o + m + r*o**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4 - -2) + 4 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1812*a + 1815. Let x be p(1). Let z(w) be the first derivative of -49 + 3\/2*w**2 - w**x + 6*w. Suppose z(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) -1307 (b) 13\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*y**2 - 19*y**2 + 0 + 1 + 8*y**2 wrt y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-18))\/k**(3\/11))\/(k**(-10)*k*k\/k**(-18)))**(-2\/51) assuming k is positive.\nAnswer: k**(200\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-754)\/(-65) - 10)\/((-209)\/(-285))?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*o + 5164 - 5290 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3992, 16500, 37380, 66632, 104256, 150252?\nAnswer: 204620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = 19. Suppose 0 = 6*d - r*d + 63. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832)*4 - sqrt(832)*-1*-5)\/(3*3*1*sqrt(4)*4).\nAnswer: -13*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 14. Let g = -28 - -17. Let p be g - (-2 - -2)\/1. What are the prime factors of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3891*o**2 + 6*o - 6. Let p(g) = -42*g. What is t(p(u))?\nAnswer: 6863724*u**2 - 252*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -3 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 158 = 3*j - 4*p, -4*p = -j - 66. Let b be ((-18)\/48)\/(15\/j). Factor -5\/4*y**2 + 15\/4*y + b - 15\/4*y**3.\nAnswer: -5*(y - 1)*(y + 1)*(3*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6*i**(6\/11))\/(i*i**(-1\/2)*i\/i**(-5)) assuming i is positive.\nAnswer: i**(-241\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 1, e: 4, n: 6}. Give prob of sequence nney.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let v(q) = -2*q + 4. Let d(c) = -3*h(c) - v(c). Let y(w) = w**2 - 11*w - 11. Calculate 22*d(o) - 2*y(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -135, 910, 2117, 3540?\nAnswer: 5233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2130\/4970)\/((-3)\/(-35))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101221210001 - -211?\nAnswer: -101221202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 - 217*u**3\/2 + 534*u**2 - 850*u + 424.\nAnswer: (u - 212)*(u - 2)**2*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.2 + 20. Let k = r + -0.8. Which is the second smallest value? (a) k (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) - sqrt(20))*6)\/(4*sqrt(16)*3) + -2.\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*u + 25*u - 135*u to v*u + g and give v.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529646 to the power of 1\/2, to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1163438\/9 or 0.2?\nAnswer: -1163438\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and (18\/4)\/(5\/(40\/6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21771 divided by 59?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57\/2 + -397\/14. Let g = -0.195 - 0.005. Suppose 0 = o + o - 6. What is the second smallest value in t, o, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1339)\/(-9) - 8\/(-36) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - p**3 + 0*p**3 + (31 + p - 10 + 19)*(-5*p**2 - 5*p**2 - 7*p**2).\nAnswer: -19*p**3 - 680*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 3, 2\/53587, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*b + 15 = -2*b, -3*b = 2*j + 7. Let r be 2\/j*2*1. Suppose r*t - 2*w = -t + 106, t = w + 23. What is the greatest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6, 2\/11 in increasing order.\nAnswer: -6, -0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 396358*i + 39274916041.\nAnswer: (i + 198179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Suppose 0 = -5*o + 4*o - c. Let t be (4 + 0)*-1*(-21)\/84. Put t, 0, o in ascending order.\nAnswer: o, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a63d (base 15) in base 7?\nAnswer: -1406200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737458.\nAnswer: 2, 368729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 - 0.21. Are j and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/27968 and -37\/192.\nAnswer: 83904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.037 (b) -0.2 (c) 4 (d) -0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 10 + 130. Is (g + 10)\/((-4)\/(-2194)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -63*i + 6. Let s be z(-2). Suppose 0 = -3*k + s + 132. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 130 + -64. What is the highest common divisor of 154 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/495 + -86\/45. Find the common denominator of q and 25\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18559 is divided by 662?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n**3 + 3*n - 21*n**2 + 10*n**2 + 0*n + 4*n**4 + 9*n**2 - 22*n**3 in the form u*n + c*n**4 + t + i*n**3 + b*n**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 48. Suppose -4 + u = 4*z. Suppose 4*g - 31 = z*k, -40 + 15 = 5*k. Which is the closest to -1\/3? (a) 1\/7 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**7\/(s\/(s*s**(-6))))\/(s\/(s\/(s*s\/s**(-1\/7))))**(-1))**(-23))**49 assuming s is positive.\nAnswer: s**(-3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -2\/3, -5, -9, 1 in descending order.\nAnswer: 1, -2\/3, -0.9, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -114*o**3 + o**2 - 1. Let p be u(-1). Let q be (180\/(-48))\/(-1 + p\/112). Let s be (1\/(-3) - 0)*q\/(-28). Put 0.1, s, -0.2 in increasing order.\nAnswer: s, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 5:37 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 612 + -560. Suppose -53*k = -l*k - 189. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 - 27110*q**4 - 37016745*q**3 - 727055660*q**2 + 3353291500*q - 3501792480 = 0. What is q?\nAnswer: -2701, -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 1\/16 (c) 0.08 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 471994200 a multiple of 925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 3532 - 14924 = -3*o. Calculate the remainder when o is divided by 135.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97275.888 - 97663. Let m = n + -0.888. Let v = -387.99999833 - m. What is v rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8c830 - 3?\nAnswer: 8c82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1, l: 1, e: 3, s: 4}. What is prob of picking 1 v and 1 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*j + 30*j + 31*j + 666 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -258. What is the third derivative of 0*i**a - 48*i**2 + i**4 - 276*i**3 + 270*i**3 wrt i?\nAnswer: 24*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7682*y**2 + 6226 wrt y?\nAnswer: 15364*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1921663.84 - -33.017.\nAnswer: -1921630.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24112 is divided by 330.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -79*q**5\/60 - 13*q**4\/24 + 13*q**3\/3 + 628*q**2. What is the second derivative of i(n) wrt n?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 5, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.4. Suppose -2*q + 8 = -0. Let j be 0\/(3 - 1) + -1. Which is the nearest to j? (a) z (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 17*k = 4*j + 27*k + 104, -11*j - 3*k + 119 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-75)*(-2680600)\/(-24744)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361235.\nAnswer: 5, 7, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from kcqqqqkqkkkkkkqkkqq?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4.7, -0.04, 68, 0, -0.8, 14?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 - 27*q + 9. Let d be l(-7). Solve 0*x + 4*x + 12 = 0, d*x + 3 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5592 = 127*w + 1147 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*o + 236, -287*o = -4*r - 285*o + 460. Calculate the least common multiple of r and (-2)\/9 - 148\/(-18).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14781.52*-3.\nAnswer: -44344.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1083 - a?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -3*v**3 - 12*v**2 - 16*v - 62 - 1\/4*v**4. Factor h(t).\nAnswer: -(t + 1)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -9*k + 28. Suppose -7*t = -k - 21. Suppose 0 = t*a - 0*a - 16. Solve a*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46438 - -6687107\/144. Find the common denominator of w and -1\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 795038616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 62. Suppose 4*j = 3*v + 12, j = -4*j - 3*v - 12. Calculate the remainder when t(j) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2 in descending order.\nAnswer: 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6)*(5 - -1). Let v = -58359 + 58361. Solve -3*m + v*j + 13 = 0, 0*m - 2*m = 2*j - c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 5*s - 2. Let c be l(2). Let o = c - 1. Let x(i) = -2*i + 2*i**3 - 2 + o + 0*i. Give x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-4)\/2 + 6 + (-204)\/(-36). Factor -18*o - 1\/3*o**2 - l.\nAnswer: -(o + 1)*(o + 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -81*h + 125. Let x(n) = -67*n + 124. Let b(z) = -6*w(z) + 7*x(z). What is b(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**2 - 4*y. Let q(u) = 8*u**2 + 2*u. Calculate -6*h(i) - 11*q(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -742, -758, -774, -790, -806?\n\"Answer: -16*x - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**2 - 1\/5*i**3 - 3\/20*i**4 + 0*i + 13. Factor x(t).\nAnswer: -3*t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1574368 and 36.\nAnswer: 14169312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 536273?\nAnswer: 536268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 - 32*n**2 + 68*n\/3 + 184.\nAnswer: 4*(n - 23)*(n - 3)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053846925 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowwwbbwuwvwuwwbw. What is prob of sequence wuwb?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7678558 divided by 2.\nAnswer: -3839279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -6286509?\nAnswer: -6286510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-7 - -21) + (0 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/15063360 and 93\/17680?\nAnswer: 15063360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60)\/36)\/(1\/(-6999)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 10*c + 36. What is the hundreds digit of (8\/(-2))\/(c\/255) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406 or -286172?\nAnswer: -286172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.22 and -4?\nAnswer: 23.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*k**2 + 4*k**3 - 3*k + 14*k + 9*k.\nAnswer: 4*k*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 9. Let j be p(3). Suppose 1012 = j*q + 5*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 - (12 - (-2 + 9)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 3)*(-5*w + 2*w + 5*w).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 759823*p**2*r**6 + 3*p**2*r**2 + 159*p**2*r - 2*p**2 - 12*p*r**2 + 17*p*r wrt r.\nAnswer: 91178760*p**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 18, 9, -5, 2.\nAnswer: -5, 2, 9, 18, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 22\/(-6)) + -2. Let w = -25 - -21. What is the third smallest value in w, n, -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -623637.6999952 + 623644.7. Let k = -11 + 18. Let l = b - k. Round l to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 15391 = 15303. Solve -f*a = -35*a + 48 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 + 2*b - 6. Let l(s) = -4*s**2 - 3*s + 11. Calculate 3*l(o) + 5*r(o).\nAnswer: 3*o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9) + 1*sqrt(9)) + -5 - (sqrt(13) - (5*(sqrt(13)*-1 - sqrt(13)) + sqrt(13)) - (1 + sqrt(117) + sqrt(13)))**2.\nAnswer: -474 + 25*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -4. Suppose u - 4*v = -12, -v = g*u - 5*u - 3. Suppose j - 5 = -u*j. Solve 3*b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -9 - 27) + 1 + -8 - 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:36 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 23. Let f(q) = 9*q**3 - 5*q**2 - 14*q - 5. Is 37 a factor of f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 7*v - 492. Let b = v + -35. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-16) + -5 + ((-2055)\/140 - -15).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*j - 531*j + 448 = 0. Let q = -315 - j. Is q less than -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*u = -22, -209*c + 201*c + 2*u = 5*u - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3487 + 3451.31. Let l = r - 0.31. Let f = -44.9 - l. Round f to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 849619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -408 (base 15) to base 4.\nAnswer: -32030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204611.9 - 0.14?\nAnswer: -1204612.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*i + 2*i. Let z be (-2 + 2)\/2 + (-2)\/i. Find a such that z + 0*a**3 + 8\/5*a**4 - 2*a**2 - 3\/5*a + 3\/5*a**5 = 0.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + 1)*-6 + 4 - (-3*(sqrt(17) + 2)*4 + 4).\nAnswer: 18 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/9*(-4 - (-114)\/30).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/3 - 7*n**5\/12 + 4*n**2. Find the third derivative of o(m) wrt m.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*h - 498*h + 28112 = 0. List the prime factors of h.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {k: 2, v: 2, l: 2, n: 4, s: 4, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times -0.4321088?\nAnswer: 45.8035328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*h - 2*h - 2*h)*(-3 + 1 + 4) - 1672*h + 823*h + 1396*h)*(0 + 3 - 4) to b + w*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d - 1. Suppose -5086*s = -5090*s + 16. Let c(n) be the third derivative of 0*n + 1\/24*n**s + 0*n**3 + 0 - 8*n**2. Give -9*c(r) + 2*l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.5 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 - 165. Solve 3*r + d + 6 = 0, -5*r + 7*d - 4*d + v = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226 - -229. Factor 24 + z**2 - 16*z**2 - 21136*z**g - 6*z + 21133*z**3.\nAnswer: -3*(z - 1)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21595814*h**4 + 58032226*h**2?\nAnswer: 518299536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 25 - c + c**2 - 24 + 2*c. Let m(f) = 3*f**3 - f**2 - 2*f - 2. Calculate b(h) + m(h).\nAnswer: 3*h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -26. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.236 + -0.034. Let z = 10.737 + -11.137. Sort f, 2, z, 5 in increasing order.\nAnswer: z, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-117)\/(-2)))\/(38\/2337)*3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2 - 12236*r - 11922288 = 0. Calculate r.\nAnswer: -777, 3836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 100 = m, 0 = 32*q - 35*q + 2*m - 67 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 63184 = -2*y + 22462, -4*y = -2*l - 171286. Round y to the nearest one hundred.\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * -4.98.\nAnswer: -214.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112011102 + 21?\nAnswer: 112011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + 13 + (-6 - 5) + -11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-10)*84\/(-9). Let f = -10 + y. Suppose 0 = f*v - 81 - 31. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 12*j - 2*g + 26 = 0, 86 = j + 6*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -661.512, -3\/5, -0.2, 1\/4, -1 in descending order.\nAnswer: 1\/4, -0.2, -3\/5, -1, -661.512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {r: 7, c: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 384.6378mg?\nAnswer: 0.0003846378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -0.07. Let y = 1.9 - o. Suppose 2*c + 3*l = -6, 0 = c + 4*c + 2*l + 37. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47686665 is divided by 9537333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-8))\/((-3)\/(-4)). Let a = w + 4. Let p be (-1)\/((-1)\/a*2). Put -2, -5, p in decreasing order.\nAnswer: p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 64.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 13*s + 11. Let o be h(12). Which is smaller: o or -4\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*b - 23 + 37, 0 = -2*b + 5*g - 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8611182072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, y: 4, k: 2, p: 2, x: 2}. Give prob of picking 3 y and 1 k.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-5\/6))*y)\/(y\/y**(-34)*y))**(-29) assuming y is positive.\nAnswer: y**(5945\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*-6*8\/(-3). Let p be 2 - 2 - 6\/o. Which is bigger: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + -1*(-1 + sqrt(68)) + -2)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.2. Let f(b) = b**3 + 10*b**2 - 13*b - 19. Let g be f(-11). Sort 2, g, i in decreasing order.\nAnswer: g, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21629129 greater than or equal to -21629128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584247, -584178, -584109, -584040?\nAnswer: -583971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 m when three letters picked without replacement from {m: 1, b: 3, q: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*z + 7*z. Suppose -z*r = 1 - 13. Calculate the highest common factor of 33 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*-5)\/sqrt(8).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202112102001112 - 202?\nAnswer: 202112102000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -2*v, -112*l + 109*l + 4*v - 32 = 0. Suppose 0 = -2*s + 5*t + 8, 0 = t - 2*t + 2. Solve b + 2*b - s = l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9509589 is divided by 6901.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + q**3 + 0*q + 15*q**3 + 227*q**4 - 225*q**4 + 5*q to d*q**3 + a + f*q**2 + r*q + m*q**4 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*i + 4*i + i)*(-4*i**2 + 5*i**3 + 4*i**2) + (-2*i - 3*i + 3*i)*(-2*i**3 - i**3 + 2*i**3))*(-1 + 4*i + 1).\nAnswer: -12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -8. Suppose -k*f = -4*f - 4. Calculate the remainder when 25 is divided by f\/14 - 306\/(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**2\/7 + 3996*u\/7 - 665334\/7.\nAnswer: -6*(u - 333)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -23. Let q = 84 + -4. Suppose 0 = 5*r + x - 130, -r + x = -4*r + q. Calculate the remainder when r is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -d - 127185 - 55740, -2*d + 304875 = 5*l. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 10 + 8 = 0. Let d = 89 + g. Suppose -d - 32 = -4*k - 2*t, -3*k = -3*t - 78. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 2*w - 1. What is f(2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 7, e: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 + 2*b**2 - 5*b**2 + 26*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1349000 and 19880?\nAnswer: 9443000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 18*o + 17. Let c(k) = -19*k - 18. Let m = -29 - -35. Let x(a) = m*c(a) + 7*b(a). What is the first derivative of x(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 21. Suppose -n*q + 4 = -4. Solve -5*g + d = -30, q*g + d = 3*d + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005058186 rounded to 5 dps?\nAnswer: 0.00506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 2. Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 11563128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6676 - 6646. Solve n*m + 35 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1443*q**3 - 442316144*q**2 + 442316144*q**2.\nAnswer: -1443*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + (3 - -2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333270614?\nAnswer: 2, 166635307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ffc (base 16) to base 7.\nAnswer: -32605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 1. Suppose -3*k - 8 + 2 = 0. What is the smallest common multiple of j(k) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + t + t)*(-476*t + 239*t + 235*t - 52) to the form d + q*t**2 + l*t and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3679915 (base 10) to base 4\nAnswer: 32002122223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381348 and 518094.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 52. Suppose 4*t + 18 = -5*r + 3*r, r + 18 = t. Let g be x(r). Let m(v) = v**2 - 7*v + 9. Give m(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11375063?\nAnswer: 7, 107, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8961 + 8963. Let j(i) = -i**2 + i. Let q(y) = 8*y**2 - 2*y. Determine b*j(f) + q(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.5 - 0.5. Let y = r - 4. Let f = 20 + y. Put -5, f, 0.1 in ascending order.\nAnswer: -5, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 7. Let h be 1\/(5\/(5 - 0)). Let q be t(h). Solve 0 = -s - 3*s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -30. Let k(x) = x**3 - 8*x**2 + x + 7. Let h be k(6). Let n = -533\/9 - h. Sort -1\/3, a, n in decreasing order.\nAnswer: n, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.1008 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.16482 nanograms to tonnes.\nAnswer: 0.00000000000009616482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 0 (c) 5\/2 (d) -104 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-26))**(-36)*(r\/(r**(1\/9)\/r))\/((r*r*r**(1\/10))\/r) assuming r is positive.\nAnswer: r**(84311\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/864 and -137\/132?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36318?\nAnswer: 2, 3, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-3) - (2 - 3 - -3). Suppose -3*g = -17 + 8. Suppose 1997 = g*a - s*m + 2*m, -2*a + 1314 = m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g + g**2 - 1\/2*g**4 + 29 + 0*g**3. Calculate m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5006592ns to microseconds.\nAnswer: 0.0005006592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*k + 196*k = -70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 3, 14, -36, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341392091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.05. Let d = v - 0.65. Which is the nearest to -0.3? (a) -4 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(4\/7114))\/(-5 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 - (-16)\/10. Suppose 0 = -w*m + d + 11, m + 18 = -5*d - 4. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13195 and 637?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/(24\/(-160)). Let v(w) = w**2 - 12 - 2*w**2 + 0*w**2 - 10*w. Let c be v(x). Solve l + 7 = c*a, -5*l + 2 + 13 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 5197902*v + 10395816.\nAnswer: -3*(v - 2)*(v + 1732636)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 122 = -4*g, 4*m + 774 = -130*g + 296 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3845291 and 53\/9?\nAnswer: 34607619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*u - 34, 4*h - h - 4*u - 44 = 0. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 97*m**2 + 61*m - 922. Determine i(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824710 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 4*t**2 - 3*t - 10. Determine j(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593 minus 534?\nAnswer: 4059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u + 3*u**3 - 37*u - 16*u.\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 3. Let a be p(4). Solve 4*i - 13 = 3*o, -5*o - i + a = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60299 - 60315.5135. Let d = -0.0305 + w. Let x = d + -0.156. Round x to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -19, -38, -71, -124?\n\"Answer: -u**3 + 2*u**2 - 10*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7\/3440 + 1422433\/3440. Which is greater: 414 or a?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15218 and 332402.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.1735689 - -1826752.3295689. Let u = -1826812.1560051 + k. Let g = 103 + u. Round g to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(2736)*-6 + sqrt(2736) + -5 - (sqrt(2736) + (2*sqrt(2736) - sqrt(2736)) + 4 + 4))**2 + 1.\nAnswer: -805397 - 13104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -13) + (-1 + -9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39670001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -9*o - 0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4 = 4*g, 9 = -5*g + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25862 is divided by 11813.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17388941*s**2 + 17388969*s**2 - 34777890*s**2.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5666 + -3664. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 6. Suppose -1 = -r - n, -r + 4*r = -4*n + 1. Suppose -a*b + 0 + r = 3*t, 4 = 4*t. Are 1 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78474480119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o - 59. Let k be w(-4). Suppose -6*m - 363 = -k*m. What is the highest common factor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 5. Calculate the lowest common multiple of f(-2) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-4)\/60). Suppose 5*b + z*v - 45 = 0, 2*b + 2*v = -2*v + 20. Suppose -b - 14 = -2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose s + l*c + 7 = 0, 2*s - s + 4*c + 11 = 0. What is the smallest common multiple of s - (-3)\/3*14 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449055?\nAnswer: 3, 5, 429937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12*-41\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 7. Suppose -5*c = 4*b - 13 + 29, 0 = -2*c - 4*b - 4. Let o(d) = 3*d**2 - d. Let m be o(-1). Let k be (m - -1)*(3 + c). Determine q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 2.7 (b) 50 (c) -0.07 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.059 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = 0, -4*y - 151411844 = 2*m + 23468154. What is y rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054441 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682 divided by -6?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588762, -588759, -588754, -588747, -588738, -588727?\nAnswer: -588714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1416 (base 8) to base 3\nAnswer: -1001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11309048 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-17)*(r**(2\/13)*r)\/r assuming r is positive.\nAnswer: r**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 33*u - 7. Let g(f) = 14*f - 3. Let j(n) = 7*g(n) - 3*i(n). Let k(x) = 968*x. Determine j(k(s)).\nAnswer: -968*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-535 + 534)\/(2*2)*6\/23?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6866*m*v - 3767*m - 2 wrt v.\nAnswer: -6866*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by ((-3)\/(-9))\/(((-8)\/54)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13393949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -12*z**2 + 4*z - 2. Let r be s(1). Let f = 11 + r. Let i be -5*(f\/1 - 0). Let p(o) = o**3 + 5*o**2 + 3*o + 7. Determine p(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390445 and 2290.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 76.81212 from 5134.\nAnswer: 5057.18788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g + 60 = 2*p, 0 = p + 4. Let j(u) = -u**3 - 16*u**2 + 17*u + 1. Let q be j(g). What is the remainder when 37 is divided by ((-20)\/16)\/(q\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (106\/(-6) - -1)\/(204\/(-2448)). Calculate the greatest common factor of o and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13277 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-565)\/(-40) - (-2)\/(-16). Let g(b) = -67 + 0*b - 3*b + 71 - h*b**2 - b**3. What is the remainder when g(-14) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**2 - 2*a + 6. Suppose 0 = 9*i - 5*i - 20. Let j(m) = 6*m**2 + 2*m - 5. What is i*o(n) + 6*j(n)?\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 4*(sqrt(1539)*-2 + 2).\nAnswer: -72*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(3 - 1))\/2. Let v(x) = x**3 - x**2 + 15. Let b be v(0). Suppose 37*a + b = 42*a. Solve 0*n - a*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222221211000010020 - 11?\nAnswer: 1222221211000010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 1 + a**3 + 3 + 0*a**2 - a**2. Let v be q(-2). What are the prime factors of 42\/4*(-8)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4302*l**2 + l**4 - l - 24 - l - 4303*l**2 in the form w*l + z*l**4 + u*l**3 + g*l**2 + k and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10156.\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642741 < 1642744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (26 + -11 - 40)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q. Let i be 4\/26 + 84\/(-39). Let u be n(i). Let v(f) = 2*f**2 - 4*f - 2. Let g be v(u). Solve -3*p + g - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3\/2 - 17*x**2\/2 + x\/2 + 17\/2 = 0.\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 186060534 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 3\/2, 0, -1\/5, -16, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -54360, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 264, 7615.8?\nAnswer: 7615.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwizyew. Give prob of picking 1 i, 1 d, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 508 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 4. Suppose 0 = 5*i - 3*x - x - r, -x = -4*i + 17. Suppose 0 = i*n - 4*l - 450, -3*n + 0*n + l + 277 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g - 6. Let h(n) = 2471*n - 499. Let b(q) = -860*q + 166. Let z(s) = -8*b(s) - 3*h(s). Calculate -169*a(c) - 6*z(c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 516 and 49465\/96 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1641 - -3213. Suppose 44*v + h = 50*v. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0, -0.1, 1\/10, -3, -1.\nAnswer: -3, -1, -0.1, 0, 1\/10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(27) + 1 + 4)*5)**2.\nAnswer: 37800*sqrt(3) + 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 714, 944, 1266, 1680, 2186, 2784?\nAnswer: 3474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 1\/3*b**2 - 7\/3*b.\nAnswer: (b - 6)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 8*o**2 - 4*o - 12. Let t be r(-8). Suppose -2*x + 3*g + t = -34, -4*x + 4*g = -116. Suppose -x = -i - 5. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 193*o - 1602 + 5167 = -6737 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28790 = -5*a - 2*j - 2*j, -3*j = -4*a + 23032. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 300409 + 158617. Suppose -8*s - 1280174 - u = 0. What is s rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-20) + 14\/5. Is (-149)\/(-3 - (1 - y)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*h + 956 = 0, 234 = -a + 4*h - 8*h. Let p = 344 + a. Suppose -3*q + p = -104. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0111 - 0.0017. Round q to four dps.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = d + a - 4, 2*a = 3*d + 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {f: 2, v: 18}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*w**3 + 0*w**2 + 0*w**4 + 1\/4*w**5 + 0 + 1\/4*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((1615\/(-38))\/(-17))\/((-50)\/(-3))).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h. Suppose -3 = w - 1. Let l(u) = u**2 - 7*u - 28. Let y be l(-5). Let t(c) = -3*c - 2*c**2 + 15 + 18 + 0*c**2 - y. Give w*t(z) - 6*x(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, o: 13, b: 2, q: 1}. What is prob of sequence onnb?\nAnswer: 13\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 + 1. Let k be ((-7)\/21)\/(1\/(-6)). Let g(x) = -30*x - x**2 + 2*x**k + 30*x. Calculate y(g(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*s + 4*l, l = -2*s + 3*l + 38. Calculate the least common multiple of 77 and s.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41489\/6 + -6860. Let m = z - -2129\/6. Let g = -404 + m. Calculate the common denominator of -139\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052995948 to 4 dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(2))\/sqrt(5))**2*-1 - (4*sqrt(20)\/sqrt(4) - sqrt(5) - ((sqrt(240)\/sqrt(4))\/sqrt(12) - sqrt(5)))**2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -1. Let v be (-1*(-4)\/(-10))\/((-4788)\/4085). Let s = 1\/18 - v. Sort s, z, 0.5 in increasing order.\nAnswer: z, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/22 and -65\/20016.\nAnswer: 220176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.035 + 0.535. Put -4\/5, 1, v, 0.2 in descending order.\nAnswer: 1, v, 0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1264 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2300402\nAnswer: -5\/2300402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 2*n - 1237 = 15*i, -n + 3676 = 3*i. What are the prime factors of i?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 3 (c) -18 (d) -2 (e) 719\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/28689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**13)\/u**(-1\/9) assuming u is positive.\nAnswer: u**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -10. Let l = 46 + -48. Let t be l*1\/6*-3. What is the greatest common factor of g and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 + 449. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-6)\/15*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)\/(((-3)\/15)\/(-1)). Suppose 0 = -l + h - 3*h, l - q*h = -7. Suppose 2*a + 0*a = -5*c - 20, a + 4*c + 16 = 0. Sort l, -6, a in ascending order.\nAnswer: -6, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((0 + sqrt(3087))*-3 - (4*3*sqrt(3087) + sqrt(3087))**2) + (5 + sqrt(3087) + 5 - sqrt(3087))**2 + sqrt(3087) + -5).\nAnswer: 84*sqrt(7) + 1043216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a (base 16) to base 8.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(2 - 1))\/((-38)\/19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.091 in 1054, 1\/15, 1\/3?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 3. Let d(r) = -r**2 - 2*r + 2. Let v be d(-5). Let z = -15 - v. Give x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(180) - (sqrt(180) + -2*sqrt(180)))\/sqrt(5))\/((sqrt(96)\/sqrt(4))\/sqrt(2)) + -1.\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 8. Let g(v) = 4*v - 7*v - v + v + 9. Let n be g(-5). Let i(u) = -50 + 23 + 2*u - u + n. Determine -11*i(p) - 4*s(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 12*r**3 + 3*r**2 + 60 - 13*r**3 + 6*r + 2*r**2 - 50. Let n = -7 - -14. Let s be h(n). Solve 0 = -4*g + 3*f + 5, -4*g + 4*f + s = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-4)\/(-8))\/(3\/144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2188*p + 2037*p + 1199091 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/414 + (-4851)\/(-12144)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((m*m**(-1\/2))\/m)*m))\/m)**(1\/67))**41\/((m*m**(-2\/23)*m)\/(m**(-3)\/m)*m**(-6)\/(m\/(m*m*m**(1\/4)*m*m*m)*m)) assuming m is positive.\nAnswer: m**(-28927\/6164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(-2)*(-79)\/(6004\/38).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**3 - 3*i. Let u be 1\/3*14*(-33)\/(-22). Let o(q) = -q**3 + 6*q**2 + 6*q. Let l be o(u). Let s(z) = 4*z**3 + 2*z. Calculate l*s(b) - 5*t(b).\nAnswer: 2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61374, -117803, -174232, -230661, -287090?\n\"Answer: -56429*a - 4945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/21)\/1)\/(9\/6).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*b**2 + 2*b**2 + 15*b**2 - 2*b**2 + b**2 + 0*b**2 + (0*b**2 - 2*b**2 + b**2)*(2 + 5 + 1).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000121969013 to 7 dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -24946.9118?\nAnswer: 24949.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12077?\nAnswer: 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298318?\nAnswer: 2, 7, 92737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 8. Let s be a(11). What is the derivative of -s + 0 - 3*m + 4*m - 5*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 221.18673765 + 1601.\nAnswer: 1822.18673765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -19 - 11*z**2 + z**3 - 3*z**2 - 8*z + 37*z**2 + 5. Is 10 a factor of k(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00347445823 to five decimal places.\nAnswer: 0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343966089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/60522 and 1\/42444?\nAnswer: 3268188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*j - 110 + 350 - 140 - 100.\nAnswer: -499*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 123*h + 13. Let x be n(-41). Solve 4 = -x*o + 12*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3729, 7493, 11305, 15165, 19073?\n\"Answer: 24*m**2 + 3692*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/189)\/(2\/383050). Let l = 14185 + v. Calculate the common denominator of -44\/21 and l.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 16*w**2 - 9*w. Is c(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/175 - 881\/525. Let q = 8751 + -8742. Which is the closest to 0.01? (a) o (b) q (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 2. Calculate the highest common factor of k and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from qqqoogxggxbyxxbxgbx.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, c: 2, d: 2}. Give prob of sequence cc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 426*m. Let z(g) be the first derivative of -2*g**3\/3 - 187. Calculate z(y(d)).\nAnswer: -362952*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Let d(y) = -5*y**2 - 5*y. Let c(p) = -5*p**2 - 4*p. Determine x*c(r) + 4*d(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2653856800 to the nearest integer?\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40853.\nAnswer: 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15591832, 31183664, 46775496, 62367328, 77959160, 93550992?\n\"Answer: 15591832*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.101 (b) -0.5 (c) 81 (d) -1 (e) 0.25 (f) 0.4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4, -36 in increasing order.\nAnswer: -36, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q + 48*q = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1138227 times 1.9\nAnswer: 2162631.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t**(-2\/7)))**(-2\/9)\/(t*t**2)**(1\/17))\/(t**(-5)*t*t**(1\/5))**22 assuming t is positive.\nAnswer: t**(447583\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 5:08 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4279 + -3993. Calculate the greatest common divisor of 910 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Let q be h\/5 + (-246)\/10. Let z = 30 - q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 = 4*k + 5, 2*h - 4*k = 4. Suppose g - h*t = 2*g, -4*g + t = -18. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-720)\/(-1980)*11\/90?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f + 1298 - 1298.\nAnswer: 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507744231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.27589 meters to kilometers.\nAnswer: 0.02127589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 0) + -3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 5. Suppose 13 = -3*u + 34. Let q be n(u). Let x be 0*((-9)\/6 + q). Solve 3*f - f = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7996304709 to the power of 1\/3, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -41*x - 3. Let v be g(-9). Let o = 5488\/15 - v. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 7818897\nAnswer: 5\/7818897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21595952 and 133168.\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 846.5293 to the nearest ten.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.061 + -4.061. Which is the second biggest value? (a) 3 (b) -0.5 (c) 2 (d) 0.5 (e) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406 (base 8) to base 7\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36170 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 22*s + 14. Suppose 0 = -4*c - s*u + 6, -18 = -2*c + 4*u. What is the first derivative of -15*p - 31 + 14*p + c wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5951 - -139?\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 58. Let u be (-6)\/w*3 + 350\/7. What is the derivative of 49*p**2 - 3 - u*p**2 + 11 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 4 (b) 2.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 37543952?\nAnswer: 37543964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 1\/7 (c) 160 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, 0.502, 1, 0.5 in descending order.\nAnswer: 1, 0.502, 0.5, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2. Let b(x) = -65*x**2 + 1. What is s(b(z))?\nAnswer: -12675*z**4 + 390*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 15 = -5*d, -4*d + 80*y - 10 + 29 = 75*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -524, -1165, -2092?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2*w**2 + 3*w - 1. Let x be s(3). Let r be -4 + (x - -3)*4. Solve -r = -n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338649, 338651, 338653?\nAnswer: 338655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -627\/97 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -241046?\nAnswer: 9641.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 + 5*p - 6. Suppose -l - 14 = -8*l. Let f be d(l). Suppose f = 10*a - 4191 + 491. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310333 - -11?\nAnswer: -310322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 103*k**3 + 9 + 8*k - 5*k**2 - 53*k**3 + 0 - 51*k**3. Let y(v) = -2*v**2 + 4*v. Let c be y(3). Give w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 7*w**2 - 5*w + 2. Suppose 35 + 17 = 26*o. Suppose -2*n = -5*f + 17, -12 = 3*n + 4*f + o. Calculate b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 4*t**2 + 11*t + 7. Let x(n) = n**2 - 3*n - 7. Let p be x(7). Let l = p + -27. Let m be f(l). Solve -3*r + 3*z + 9 = -5*r, 2*z = r - m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*i*v + 204*v wrt i.\nAnswer: 178*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-21))\/((-7428)\/(-12999)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 147*u - 660 = 0 for u.\nAnswer: -44, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12426452 to the nearest integer?\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 461715316 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/5 - 66*m\/5 - 36 = 0.\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8912 + 9286. Calculate the remainder when r is divided by 154.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/80)\/9)\/((-18513)\/1815)*16?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -16. Let o = f + -23. Let m(a) = -6*a**3 - 17*a**2 + 17*a + 14. Let h(c) = -2*c**3 - 6*c**2 + 6*c + 5. Give o*h(l) + 6*m(l).\nAnswer: -2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -41 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:35 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1552*((-1)\/10)\/((-2)\/10). Suppose 3*b - y = -4*f + 1309, 4*b = -4*f + 2080. Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + -3)*((-80)\/(-28) + -2). Let g be 1\/((r\/(-3))\/6) + 0. Let d(t) = 48*t + 14. What is the hundreds digit of d(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/4 + s**3\/6 + 9*s. Find the second derivative of p(m) wrt m.\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 21*y**3 - 3396*y**2 + 136809*y + 39366 = 0.\nAnswer: -2\/7, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 2*l**2 - 7*l + 7. List the prime factors of n(-5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3024 and -7\/2106?\nAnswer: 117936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20420 (base 7) to base 5.\nAnswer: 130022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-9))\/((-1)\/3 + 4\/36). Put -5, u, 0, 114, -1 in decreasing order.\nAnswer: 114, 0, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 1, -153, -2 in increasing order.\nAnswer: -153, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 94.\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 94*l - 846. Calculate u(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) 6 (d) 2\/7 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 = 14. Which is greater: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -13*a**4 - 39*a**3 - 3*a**2. Let i(d) = 38*d**4 + 116*d**3 + 10*d**2. Let r(v) = 14*f(v) + 5*i(v). Factor r(o).\nAnswer: 2*o**2*(o + 4)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 63*u**2 - 9*u - 220. What are the prime factors of o(11)?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 4*r - 11, 3*n = -r + 14. Let x be 18612\/1316 + (-6)\/(-7). Let c = 2 - 2. Solve x = n*k - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 5485050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/10)\/((3\/4)\/1). Suppose 2*k - w*q + 4 = 0, -3*k - 5*q - 3 = -13. Suppose 2 = 4*v - 2*h, v + h + k + 4 = 0. Is v at least -3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y*y\/((y**(-1)\/y)\/y)*y*y)*y)*y)**(-2\/19)*(((y*y\/y**(-6))\/y)\/y*y)\/y*y*y*y*y**4 assuming y is positive.\nAnswer: y**(229\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/8 - 213*k**3\/8 + 15123*k**2\/8 - 357911*k\/8 = 0.\nAnswer: 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**4 - 1865925*b**3 + 74700*b**2 - 525?\nAnswer: 240*b - 11195550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37018133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-2 + 10\/6). Let t = 59 + l. Let k = t - 175\/3. Which is the nearest to k? (a) 0.1 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2516 and 4318?\nAnswer: 319532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.13 - -0.03. Let q = 100\/21 + -821\/168. Which is the fourth biggest value? (a) -1 (b) 1 (c) q (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/83307 and -47\/340487610.\nAnswer: 2383413270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbvb when four letters picked without replacement from vvbvubvubbbvvvb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -638, 2, 0, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -2259, -6000, -11237?\nAnswer: -17970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from kacqaalaaglqglq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 - 0.02. Suppose 2*y - 6 = 4. Let s = y - 8. Which is the nearest to -1? (a) s (b) 0.3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 86 - 32. Suppose -6*t + 7*t = -m. Let l = t - -12. Solve -l*v = -2*g + 23, -2*v = 9 + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -40*j**2 + 14. Let y(t) = -20*t**2 + 6. Let a(u) = 3*p(u) - 7*y(u). Let f(h) = 223*h**2. Calculate a(f(g)).\nAnswer: 994580*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -60600 to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = n + 13, 6*q = 3*q + n + 20. Solve v + 4 = j, -2*v - q = v + 2*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -730, 1\/5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3941*2.04.\nAnswer: -2.843964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 199, 452, 815, 1294, 1895?\nAnswer: 2624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t**3 + 2*t**2 - t. Let w be m(-2). Round w to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 144 = 371. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17913?\nAnswer: 3, 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39932 by 249.\nAnswer: 39932\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-21) + (-290385)\/(-1701) + -185?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + 108. Let k = -94 + z. List the prime factors of 2 - (-1)\/2*k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - -1.4. Suppose -5*r + 2*n = -r + 30, -5*r + 4*n - 30 = 0. Let t be ((-2)\/r)\/(27\/45). What is the smallest value in h, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p - 9 = 0. Let r be p\/15 - (-34)\/(-10). Put -5, -2, r in ascending order.\nAnswer: -5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34097 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s**2 + 23*s - 9. Let x(j) = -6*j**2 + 11*j - 4. Let f(p) = -9*x(p) + 4*y(p). Let c(a) = -a. Calculate 14*c(t) - 2*f(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*w**3 - 151*w**2 - 308*w - 4 = 0 for w.\nAnswer: -1, -2\/153, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 282 (b) 37 (c) 4 (d) -224 (e) -1 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 496934960*r + r**2 + 496934960*r.\nAnswer: r**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(2178) - sqrt(2178))*-1)\/((sqrt(192) - sqrt(192)*-2 - sqrt(192))\/(sqrt(200)*-2 + sqrt(200))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 8*t = 43*t - 210420. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/144)\/(((-11)\/22*-9)\/114).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -443, -636, -847, -1082?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788130799 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: Solve -4*l + y + 21535 = -3*y + 21475, -28*l = -2*y - 524 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3744*p + 22474. Calculate j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**2\/11 - 46*q + 444\/11.\nAnswer: -2*(q + 37)*(7*q - 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnlp when four letters picked without replacement from lnnppnppplpmppm.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95020126 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o - 539. Let p(a) = 7*a + 247. Let z(r) = 6*b(r) + 13*p(r). Give z(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240\/78437 + 46652822\/1763185323. Let z = q + 4\/381. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/((-1)\/2). Let u(z) = -1. Let g(x) = -7*x + 1. Let l(t) = -g(t) + 2*u(t). Let b(j) = j - 1. Let m = 24 + -30. Calculate m*b(d) + y*l(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i**5 - 20*i**2 + 46*i**2 - 15*i**4 - 21*i**2 = 0 for i.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 143*q**3 - 2*q + 125. Let k(z) = -77*z**3 - 87 + 5*z**3 + z + 23. Let n(a) = 4*j(a) + 10*k(a). Find the second derivative of n(d) wrt d.\nAnswer: -888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 14, 5.\nAnswer: -2, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/6 + 11*p**3\/6 + 3*p**2 + 4*p\/3 = 0. Calculate p.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616522003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/2 + 135\/4. Calculate the common denominator of v and (-226)\/60 + (-2)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = d - 5*d. Let x = -72 + 73. What is the first derivative of 7*j**4 - 7 + x - d*j**3 + 21*j**3 wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 4\/8 - (-1125)\/50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 14*d**3 - 58*d**2 - 174*d + 216 = 0.\nAnswer: -9, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u + 13*u - 423 = 19 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371431122 to the nearest integer?\nAnswer: 19273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2703*f + 138300. Give t(-51).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -105, -4 in descending order.\nAnswer: -2, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, b: 1, t: 1, u: 4, r: 4}. Give prob of picking 1 r and 2 g.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 460 + -457. Solve 0*o + 12 = q*o - u, 3*u = 2*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 + 111*l*v - 5*v + 12 wrt l?\nAnswer: 8*l**3 + 111*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 6)\/(63\/12 - 6). What is the hundreds digit of 2190\/(-8)*(a\/(-12) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aybb when four letters picked without replacement from yajbjabbmbajaba.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**3 - 4*v**2 + 5*v - 4. Calculate x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) - (sqrt(1700) + 0 - sqrt(1700))*5.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 39312216*l - 78624420.\nAnswer: -3*(l + 2)*(l + 13104070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -388710 divided by -47.\nAnswer: 388710\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256.2 + -353. Let y = o - -96.8. Let a be (-2)\/(-6)*9\/(-8). What is the nearest to y in -2, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 13. Let z be s(3). Let w be 3\/z - (-86)\/8. Is 7 a factor of (22\/(-55) - 276\/w)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304809?\nAnswer: 3, 367201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 98.0203. Round z to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-9)*-3*((-60480)\/200)\/42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -106. Let x be (u\/(-27))\/(10\/60). What is the nearest to -2 in 0.4, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*c + 140. Let j = 66 - c. Solve -2*n = -4*n + 6, -j*l + 31 = 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -309 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081526100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**4 + s**4 - 2*s**4 + (0*s**3 - s**3 - s**3)*(-4*s + 4*s - s) in the form k*s + x + u*s**2 + h*s**3 + w*s**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/2, -23, 0.3, 0.5 in descending order.\nAnswer: 3\/2, 0.5, 0.3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137*w - 2*w**2 - 4277*w + 2140*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6508, 6564, 6654, 6784, 6960, 7188, 7474?\n\"Answer: q**3 + 11*q**2 + 16*q + 6480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 15881687\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 763783773 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230014 - -1?\nAnswer: 230015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = 4*r, -28 = r - 5*r - 2*p. Suppose 0 = -r*h + 19 + 16. Suppose 0 = h*f - 4*f. Let v(u) = u + 8. Determine v(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6) + -5 - (0 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)\/(w*w\/(w**(-2)*w)))\/(w**(-2\/15)\/w**(-5)))\/((w*w\/w**(-5))\/(((w*(w\/w**(-2))\/w)\/w*w)\/w)*w**(2\/5)*w*w**6) assuming w is positive.\nAnswer: w**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**2*w**6 + 5*u**2*w + 2*u*w**2 - 3*w**6 wrt w.\nAnswer: 120*u**2*w**3 - 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31873\/5 - 6375. Which is the closest to u? (a) -4 (b) 3 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 = -0*c. Suppose -4*v = 3*u - 60, -2*u - v = -c*v - 17. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6170631 (base 9) to base 2.\nAnswer: -1100100100001110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 + 556. Suppose 4*v = i, -3*y - 2*v - 2*v + 24 = 0. Solve -5*d = -y + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(-3*m + m + 0*m + (-5 - 2 + 6)*(3*m + 2*m - 4*m) + (5 - 3 + 0)*(-2*m - 5*m + 5*m) + 3 - 3 + m) to l*m + z and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 87. What is v(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7481*g**2 - 373*g**3 + 7481*g**2 + (-3 + 3 - g)*(3*g**2 - 2*g**2 + g**2) - 9 - 2*g**3 + 9.\nAnswer: -377*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 11?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 383879986*x**4 - 252*x**2 - 119345*x + 2 wrt x.\nAnswer: 9213119664*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3+826\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39357 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8460 and 188?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.30000039 - -4.3. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07433 - -79636922.\nAnswer: 79636922.07433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/55*-5 - 1*-4. Let a(j) = -14*j - 9. Let d(p) = -7*p - 5. Determine x*a(k) - 5*d(k).\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-4 - (-2)\/2) - 2. Sort -7, -4, -5, y in ascending order.\nAnswer: -7, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1)*j))**20)**3\/((j**0)**(-18))**(7\/3) assuming j is positive.\nAnswer: j**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.072 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/110*(5 - 2\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -438\/5 + 88. Let t = -36 + 43. Let r = t - 7.3. What is the nearest to y in r, 2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13\/(j*(j*j\/j**11)\/j))\/((j\/j**(11\/7)*j)\/((j*j\/(((j**(1\/3)*j)\/j)\/j))\/j)) assuming j is positive.\nAnswer: j**(488\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h + 0*h - 2 - 2 - 6. Let k be i(-8). Suppose 5*z - 3*o - 23 = 0, 5*z - 4*o - k = -2*o. Solve -3*j = 2*u + j + 16, 0 = -z*u + 3*j + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23351999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*d**3*y**3 - 24*d**3 - d**2*y**2 + 2*y**6 - 1 wrt y.\nAnswer: -366*d**3 + 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 54. Suppose -119 + i = -5*g. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 46 = x. Suppose x = 3*y - 10*m + 5*m, -4*m = 5*y - 149. What is the remainder when 60 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/9 - 980*i**3\/9 - 17600*i**2 - 907500*i + 4991250 = 0.\nAnswer: -165, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 137. What is the remainder when 102 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 3. Let j be (-13)\/((-78)\/(-12)) - -5. Calculate t(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h - 5*v - 13 = 0, -5*h = -3*v + 17. Let k = 0.7 - 0.73. Let j = k + -0.07. What is the closest to j in h, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.26 - -26.16. Which is the nearest to q? (a) 0.4 (b) 0 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1\/y**(8\/15)*(y*y**(-3))\/(y\/(y**(-2\/3)*y)) assuming y is positive.\nAnswer: y**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Suppose 153 = t*i - 4*b + 28, -5*i + b + 231 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + -1.4. Which is the biggest value? (a) -3 (b) v (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (5 - 10) + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1266 - -1273. Which is the nearest to 7? (a) -4 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, q: 1, g: 11, y: 5}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 a factor of 531740832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8260083 to 4 decimal places.\nAnswer: 0.826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + v = -17, f - 12 = v - 5*v. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -18. Suppose -369*m + 364*m + 15 = 0. Sort -2, m, j, 4 in descending order.\nAnswer: 4, m, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 621*t**5 - 8199*t**2 - t - 239409.\nAnswer: 12420*t**3 - 16398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11518274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adagdggdaagaggaaaggd. Give prob of picking 1 g and 1 d.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 28. What are the prime factors of w(-13)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-53)\/(-1060))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - t**3 - 3*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 29*u - 72. Let c be l(3). Solve 0 = -k - 4 + c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*d + 6 = 0, -4*u - d - 11 = 6. Let t(b) = b**2 + 5*b - 2. Give t(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 102263 and 102289 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 793876 or 793874?\nAnswer: 793876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/4 - 306\/(-8). Let c = 34 - s. Let r = -127\/5 + 25. Put -5, c, r in descending order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -36, -1 in increasing order.\nAnswer: -36, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + 185163*y**2\/2 - 8571611880*y + 51426338400.\nAnswer: -(y - 185160)**2*(y - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -19) + -70 + (-8 - -7) + 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + f + f)*(-7 + 1 - 14) + 6*f - 5*f - 5*f + 0*f - 3*f + f + (0 - 2 + 1)*(f + 3 - 3) - 3*f + 4*f + 0*f + f + 6*f - 3*f.\nAnswer: 58*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 57 = 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let j(w) = -w**2 - w - 2. Let x be j(-4). Let o = x - -15. Give u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 434, 696, 980, 1292, 1638, 2024?\nAnswer: 2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(-2)*6\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4649 - 4026. Is 0 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 + 0.76. Let u = w - 0.401. What is u rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 713.\nAnswer: 11408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5857.7 + -5857. What is the smallest value in 22\/17, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**3\/3 - 11*l**2\/2 + 5*l + 115. Determine t(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v - 184. Let s(k) = 17*k - 275. Let i(h) = -7*s(h) + 11*y(h). Let a(q) = 0*q - 6*q + 5*q + 4*q. What is i(a(d))?\nAnswer: 6*d - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*x**3 - 54747*x**2 + 19287102*x wrt x?\nAnswer: -66*x - 109494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*r - 24*r - 81000. Let a = r - 89927\/10. What is the common denominator of -29\/3 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 27*p**3 + 34*p**2 + 20*p - 2. Let f(t) = -2*t**3 - 3*t**2 - t - 1. Let u(y) = -13*f(y) - h(y). Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*f**3 + 189*c**2*f**2 - 753*f**3 wrt c.\nAnswer: 2*c*f**3 + 378*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*m = -12536*m + 23665 + 59152 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -991*z**4 + 1 + 989*z**4 + 4*z**3 + 7*z + 0 + 0 - 2*z**2 to the form c*z**2 + i*z**4 + d*z**3 + r*z + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:49 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -25, 4 in descending order.\nAnswer: 4, 0, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.1, 0.3, 4, 145\/6 in increasing order.\nAnswer: -0.1, 0.3, 1\/3, 4, 145\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -1084536302077.\nAnswer: -1084536302078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 7*j**3\/3 - 3*j + 34. Let b = 3 - 2. Let k be q(b). Solve -6*l - 4 = -k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 846*n**4 - 4*n - 844*n**4 + 3*n - 8*n**3 as m + v*n + k*n**4 + p*n**3 + z*n**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37509 is divided by 782.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 8\/((-48)\/(-42)). Solve 4*n + 13 = 7*n + 4*g, 3*n - j*g + 11 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4192385 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 113*q**2 + 6*q. Let k be f(3). Let w = k + 1118. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 18*w**2 - 41*w + 23. Let o be c(-20). Suppose o*v - 996 = 39*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/44 and -59\/917940.\nAnswer: 10097340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 7*t = 8*t. Solve t = -137*w + 145*w + 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -74*k - 23. Let l be x(-8). Let h = -120 + l. Let g = -206 + h. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0.01, 17.\nAnswer: 0.01, 2\/11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0399 - 4.9301. Let x = -0.03 + a. Let w be 0 - (12\/(-21))\/(-2). Put 0.1, w, x in ascending order.\nAnswer: x, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3)*(-43 + 683). Calculate the greatest common factor of i and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171802 divided by 6?\nAnswer: 361967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*m - 5*n + 10, -25 = -5*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-9) - (-188)\/(-153). Let w = o - -3931\/5814. Let r = w + 1\/19. Which is the nearest to -1\/4? (a) r (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*z + 34. Suppose -g = z*d + 17, g = -g - 3*d - 20. Sort 3, -1, g, -3 in ascending order.\nAnswer: g, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 915*m - 922*m = -a + 4, -4*m + 2 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4)*2 - (sqrt(4) + sqrt(576)))\/((1*sqrt(400))\/sqrt(8)).\nAnswer: -19*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + p**2 + 12*p + 3. Let q be r(3). Let g(y) = -6*y - 24. Calculate g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 12*l - 67 = 31*g - 34*g, -7*l + 16 = g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*a - 9, 3*a = -2*a + 2*u - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 2495 = -14*n + 2*x, 5*n + 3*x = 4171. Is n a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2734 = -0*k. Suppose w + 287 = k. Suppose 5*x - 40 - w = -5*h, 3*h = -x + 676. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*d - 35 = d, 13*u + d + 4 = 8 - 29 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 divided by 17?\nAnswer: -756\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)*-2)\/((sqrt(16) + sqrt(48)\/sqrt(3) + sqrt(16))\/sqrt(8)) + 3)*6.\nAnswer: -12*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b = -101*b - 148*b + 6664. Calculate the remainder when 3461 is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-96)\/80*165\/21?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 2*k + 2*k + 36 - 7*k. Let l be u(12). Let b = l - -50. Solve 2*a + 0 = -b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + p + 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-10 + 4) - 1. Suppose 5*f = v*f. Let d be -2*-7*1\/2. Solve f*a + 2*n - d = a, 3*n - 18 = 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1315161 divided by 163\nAnswer: -1315161\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19828069414 and -127.\nAnswer: -127.19828069414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let b(u) be the second derivative of -u**6\/40 - u**5\/120 - 11*u**3\/3 + 26*u. Let c(t) be the second derivative of b(t). What is c(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 45. Let x be (-10)\/c - 48\/(-119). Let t be 1 + 1 - 7\/3. Sort t, x, -2.\nAnswer: -2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52113 + -52123.57725. Let h = z - -70.5794. Let l = -60 + h. What is l rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 25 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let x = 4 - c. Let d be ((-1)\/3)\/(2\/10). Put d, 2\/3, x in ascending order.\nAnswer: d, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Suppose 6 + 8 = -2*z. Let y = 11 + z. Sort 2, s, y in descending order.\nAnswer: y, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 43. Calculate the common denominator of 8 + -1 + 10\/12*(-684)\/56 and 198\/y*1\/(-2).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516.13062 - 516. Let f = 0.13 - u. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {g: 1, r: 3, i: 7, o: 2, k: 1, q: 3}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 672701755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i - 9*i - 487*i**2 - 13*i - 1934*i**2 in the form s + y*i + f*i**2 and give f.\nAnswer: -2421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713961319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -10. Let m = 5.99996 + f. What is m rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b027 - 9a?\nAnswer: -b0c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31375254?\nAnswer: 2, 3, 73, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -17*p + 326. Let n be g(19). Let z be n - -1 - (-315)\/288*-4. What is the third biggest value in z, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -108466224, -108466222, -108466220, -108466218, -108466216?\n\"Answer: 2*o - 108466226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**34\/(u**(-27)*u))\/((u*u**0)\/u**(1\/16)) assuming u is positive.\nAnswer: u**(945\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-11*(-6)\/2079.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2875187*b**3*j**5 - 372*b**3*j + 2*b*j - 13185 wrt j?\nAnswer: -57503740*b**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2)\/(-18)*-2. Let o = 7.7 - 8.13. Let m = 0.43 + o. What is the nearest to m in x, -1, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times -1162.42?\nAnswer: 360.3502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 129090648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7607*j - 43*j**2 + j**3 - 36*j**2 + 9739*j + 14402*j + 81*j**2 as x + t*j**2 + a*j**3 + w*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2312078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 506270198 to the power of 1\/4, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -132 (c) 32\/213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5016879675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 116*g**2 - 1769*g - 484. What is f(-98)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -73. Let s = 53 - t. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 6*k**3 + 4*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:14 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/270 + 456\/45. Suppose -2*o = -q, -4*l + 3*o = -130 - 227. Let y be 4\/10 - 616\/(-10). Calculate the greatest common factor of l and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 105*q - 196. What is p(5)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:57 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10056009529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 - -234. Let o = 105 - d. Find the second derivative of 33*h + h**2 + 4*h**2 + 83*h**o - 86*h**3 wrt h.\nAnswer: -18*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10508962 divided by -74\nAnswer: 142013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4, -12 = -5*l + 4*n - 83. Let t be (4\/70)\/((-3)\/l). Let x = 8 - 8.3. What is the second biggest value in -3, t, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(-70) + (-6)\/21. Let n = 5\/12 - 3\/4. What is the closest to 0.2 in n, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17221 + 17501. What is the smallest value in -0.3, -2\/19, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -10.04 (b) 1\/10 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**3 + w - 1. Let f be -6*((-6)\/4 + 1). Suppose -q - 68 = -5*r + f*q, r = 2*q + 16. Suppose 4*g + r = 4*y, -2*g - 1 = 5*y - 2*y. Calculate t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v + 61. Let b(f) = -3*f + 60. Let p(c) = 5*b(c) - 4*n(c). Is 14 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434669?\nAnswer: 593, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*y + 7252 = -11*y - 4512 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2995 - -0.3.\nAnswer: -2994.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*s + 198*s + 126*s + 12528 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 - -526. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13028, 13150, 13332, 13574?\nAnswer: 13876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 12 - 10*d + 7 + d**2 as h*d + g*d**2 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -12. Solve k = -5*z + 9 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1072 + 2*d**2 + 2037 - 2054 + 2*d**4 - 1372 as x*d + z + v*d**2 + j*d**3 + q*d**4 and give z.\nAnswer: -2461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17300 - -17663.4. Round s to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Suppose t*n - 5*n + 9 = 0. What is the third derivative of -11*j - n*j**2 + 11*j + 3*j**3 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24260.\nAnswer: 2, 5, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.6 in 1\/2, -1.5, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 + 214. Let p(y) = -4*y - 43. Let h be p(r). Let d(a) = -a**2 - 6*a + 9. Calculate d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -219, -504, -967, -1596, -2379, -3304, -4359?\n\"Answer: 2*n**3 - 101*n**2 + 4*n - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 27*k + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 7*j + 11. Suppose 9*s + 8 = 8*s. Let v be t(s). Let i = -9 + 21. Solve 0 = -v*a + 3*w - i, -4*a - 6 = 2*w + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 15\nAnswer: -62\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 divided by 207?\nAnswer: -178\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 175209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 76 - 224 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 - 6*s**2 + 9*s**2 to g*s + i + d*s**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101011111001011 (base 2) to base 9\nAnswer: 33742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 11*t**2 + 16*t - 7. What is the tens digit of w(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.46136 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*n + 72 = 0, -2*n - 40 = -4*w + 74. What is the highest common divisor of 40 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:23 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12.9, 2\/7, -5, -0.4 in descending order.\nAnswer: 12.9, 3, 2\/7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 2024.8141 and -4.\nAnswer: 2020.8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 2*g**3 + g**2 + 2*g**4 + 44*g + 107375 - 107376 + 21*g as q*g + b*g**3 + s*g**4 + v*g**2 + j and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1468848 by -91803.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.0841699*0.01\nAnswer: -0.000841699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/(2*(-2)\/60). Let r(w) = 2*w**3 + 5*w**2 - 3*w + 1. Let k(p) = 2*p**3 + 6*p**2 - 3*p + 1. Determine z*r(o) + 5*k(o).\nAnswer: -2*o**3 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-2)\/(-30)*8*(-205)\/328.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29868\/2489*18\/8?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2, -1\/4, -58, -159 in descending order.\nAnswer: 21, -1\/4, -2, -58, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 2*d + 7*d)*(-1 - 3*d**3 + 1) to s + z*d**3 + k*d**2 + i*d**4 + y*d and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 9. Let w(f) = -r*f**2 + 10 - 7*f - f**2 - 3*f**2 + 6*f**2. Let v be w(-8). Sort v, 1, 4 in decreasing order.\nAnswer: 4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*m + 5997908 = -216*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 11*t + 2*t)*(-t**2 + t**2 - t**3) - 3 + t**3 - 8880*t**4 + 4440*t**4 + 19*t**2 + 4441*t**4.\nAnswer: -6*t**4 + t**3 + 19*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 - 4*q - 1. Let o be 6 - ((0 - 1 - -8) + 12\/(-12)). What is i(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxnxxxxnxxxxxxxxnxxn?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5902128.\nAnswer: 2, 3, 17, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 279182173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 13, 3 in descending order.\nAnswer: 13, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 11\/4 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.25 - -0.25. Let p = 17 - 20. Put -8, k, p in decreasing order.\nAnswer: p, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*b + 37 = 0, -8*h + 1282*b - 1283*b - 204 = 0 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 7*i**2 + 7*i + 1. Determine k(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 1678*d - 1675*d - 15, -5*d = -2*c + 31 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/3 + 6*x. Let o(f) = 53 + 6*f + 52 - 106 - 27*f - 7*f. What is o(p(l))?\nAnswer: 112*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 5*l - 16 = 0, 0 = 5*c - 5*l - 40. Is 669\/c*(6 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 - 3*v**4 + 0*v**4 + (-2*v**2 + 2 - 2)*(-82 + 82 + 120*v**2) to x + g*v**2 + l*v**4 + a*v**3 + q*v and give l.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 i when three letters picked without replacement from diiidiiiiii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 10775 = 337*q + 1675. Solve 3*p - 62 = -q*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-2)\/sqrt(10))\/(sqrt(45)*-3).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -7228\nAnswer: 1\/7228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*m + 325 = -0*c, 0 = 4*c + m - 671. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 142, 113, 68, 1, -94, -223, -392?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02518 rounded to four decimal places?\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(90)\/sqrt(2)*2 - (5 + sqrt(2880) + 1))*4 + 0)**2.\nAnswer: 6912*sqrt(5) + 104256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 252.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-552)\/(-5) + 21\/35 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 824, 1\/41, 8, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26920.94g to micrograms.\nAnswer: 26920940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52\/189 + -8\/27. Which is the nearest to 1? (a) -0.2 (b) -0.3 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 f when four letters picked without replacement from {f: 4, p: 7, z: 6}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -97?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 5*sqrt(66)*2)\/(5*sqrt(6)*3) - (-3 + (sqrt(11) - sqrt(396)\/sqrt(4)) + sqrt(44)\/((sqrt(160)\/sqrt(4))\/sqrt(10))))**2.\nAnswer: 12*sqrt(11)\/5 + 269\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -246 (c) 196 (d) -2\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3\/13 + 53380*b**2\/13 + 361299456*b\/13 + 68097687552\/13 = 0.\nAnswer: -13248, -194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g**2 + 45*g + 49. Is t(32) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392*c + 26*c - 123*c to the form g*c + o and give g.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**4\/6 - 121*k**3\/6 - 192*k**2 - 24*k + 1. What is the derivative of w(t) wrt t?\nAnswer: 4*t - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 983186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 290. Suppose -121*k + 390 = -c*k. List the prime factors of k.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/18*387\/645.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9315.67679 rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 3*t. Let l be (-3)\/(-3)*(0 + 3). Let d(k) = -10*k + 7*k**2 + 0*k**2 + l*k. Let p(j) = 4*d(j) + 10*y(j). Factor p(b).\nAnswer: -2*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(117)*-2 - (-2*(3 + sqrt(117)) + sqrt(117))**2.\nAnswer: -54*sqrt(13) - 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 3*(-16)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -2 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-254)\/18 + -22 + 416\/18. Let c(d) = -3*d**2 - 12*d + 5. Let m(r) = 7*r**2 + 25*r - 11. Determine z*c(t) - 6*m(t).\nAnswer: -3*t**2 + 6*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*3\/(-120))\/(1\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 122 = 25. Let a = p + 51. Solve -a*k - 9 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693690 - 120.\nAnswer: -693810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6307 + 6585 = 74*v + 15260 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*c - 3 = 0, -34*c - 4 = 4*m - 39*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-144)\/(-15))\/3)\/((-81)\/27540). Are j and -1089 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 7. Let q be h(8). Let j = 118 + q. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(1\/88). Suppose p = -4*d + 24, 4*d + 4 = -3*p + t. Suppose -3*k + p*k - 15 = 0. Solve -c + k*b = 3*c + 6, -4*b + 8 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.08 (b) 10 (c) -404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384722033?\nAnswer: 29, 2207, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + (1 - 1 - 0) + -1. Suppose 3*q + 5*k = -q - 3215, -4*q + v*k = 3188. Round q to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12120 is divided by 1210.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -227*c. Let u(y) = 41*y. Give j(u(w)).\nAnswer: -9307*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1430257796676?\nAnswer: -1430257796679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 3*u)*(-3*u - 3*u + 5*u) - 2022 - 1010*u**2 + 2022.\nAnswer: -1009*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 2. Let o(g) = 3064*g + 6894. Calculate 17235*d(i) - 5*o(i).\nAnswer: 1915*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + 1.3. Sort 0.1, q, 1\/4 in descending order.\nAnswer: q, 1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + s + 1. Let q be f(-1). Calculate the greatest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1222816521 rounded to 5 decimal places?\nAnswer: -0.12228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 39 + 33 = 0. Suppose -y = -6*v + 138. Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-2 - (-1 + 1))) + 1. Suppose 5*u - 81 = 2*d - 0*d, -u + 24 = -x*d. What is the tens digit of 148*(4 + u\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(2\/21)))**(-12\/11)\/(x**10\/x**(1\/18)) assuming x is positive.\nAnswer: x**(-12415\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265259 and 32338?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 2. Let g(d) = -d**2 - 2*d + 2. Let y(v) = 2*v**2 + 5*v - 5. Let p(q) = -10*g(q) - 4*y(q). Give p(z(w)).\nAnswer: 18*w**4 + 24*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 7 - 38*n + 36*n + (-2*n - 3 + 3)*(0 - 2 + 3 + 0 - 1 - 1 + 1 - 2 + 0 + (-3 + 1 + 3)*(2 + 2 - 2) + 0 - 1 + 2) to o + p*n and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 17*g**2 + 35*g + 63. Let r be m(19). Let z(s) = 11*s**3 + 6*s**2 - 4*s + 11. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446958, -446965, -446982, -447015, -447070, -447153, -447270?\nAnswer: -447427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**2 + 7*s - 4. What is the tens digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43929 plus 155912?\nAnswer: 199841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 815, 1804, 3159, 4862, 6895, 9240?\nAnswer: 11879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57161522 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04186 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + 298. Is g - 3 - (1 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, 0.3742, 0.1 in decreasing order.\nAnswer: 0.3742, 0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 51*t - 3. Let i be f(17). Suppose 2*p - i = -4*p. Suppose -5*y = 2*s - p, 2*y - 123 = -2*y + s. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) -20\/47 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Suppose -3*y - 2*y = -25. Suppose -4*a + y + 11 = 0. Solve -2*r + a*r = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (-8 + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*(-65)\/120. Let v = j + 5\/6. Let o = -6.3 - -6. What is the closest to 0 in 5, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114616438?\nAnswer: 2, 61, 199, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-448 + 136)\/(-13) + (-1774)\/74.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-5)\/(-15)) - -26. Solve -5*s + 3 - f = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**2 - 142*n + 149. What is w(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19898?\nAnswer: 2, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658898 to the power of 1\/2, to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 67. Suppose a*g = 2*y - 4*y + 33872, -2*y = 5*g - 33866. What are the prime factors of y\/78 - ((-12)\/(-26))\/3?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1419\/8 + 177. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 11123199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*l**2*n**4 - 4*l**2*n**3 - l**2 + 4*l*n**4 - l*n**2 - 13970*l wrt n.\nAnswer: 5424*l**2*n - 24*l**2 + 96*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*l - 138*l - 49801700 = 0. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1325946508 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4331342023 (base 5) to base 7\nAnswer: -141410523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73312098 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: Factor -2*o**2\/15 - 623862136*o\/15 - 48650495591810312\/15.\nAnswer: -2*(o + 155965534)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k - 44. Let a be h(6). Let x be (-3 - (-17)\/a)*4. Let f(g) be the third derivative of -g**4\/12 + 5*g**3\/6 + g**2. What is f(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1374 = -15*o + 12*o. What are the prime factors of o?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/72 - (-1 + 1\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u + 5. List the prime factors of i(13).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89285, 178577, 267869, 357161, 446453, 535745?\nAnswer: 625037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*x**2 - 373*x + 373*x + (6 - 3 + 6)*(2*x**2 - 2 + 2).\nAnswer: 297*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -39?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5381 and 60729.1309?\nAnswer: 66110.1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 6 + -5 + 2 - 4 - 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 8, v: 2, p: 4, j: 1, e: 1}. What is prob of sequence pyev?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + -2*(-348)\/8. Let i be (0 - 0)*(-82 + l). Solve -28*x + 30*x + 8 = i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3*4*1\/12 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17698715.\nAnswer: 5, 3539743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*y. Let p = -5 + 10. Suppose 3*z + 34 = -5*l, 2*z - z = -3. Sort p, y, l in descending order.\nAnswer: p, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298.5 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 less than or equal to 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/55)\/((-391)\/460)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (493\/(-34))\/((-1)\/(-2)). Let l = -3 - y. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44576 and 1406930.\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122\/((-257664)\/(-1248))*-12?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*p - 2015066*j + 1068739*p wrt j.\nAnswer: 3*p - 2015066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 22 = 9*d. Let g be -1779 + d\/(-14)*-2. Round g to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 3*n - 2*n + 6*n. Let h be (-3)\/(4\/(24\/(-9))). Let f(r) = -2*r. Calculate h*f(p) - 5*d(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.27 (b) -18 (c) 52 (d) -2\/3 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.6478ml?\nAnswer: 0.0046478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/g**(5\/2))\/(g*g**(-2\/19)*g)**(-16) assuming g is positive.\nAnswer: g**(2057\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 1 + 7*b**2 + 3 + (-18*b + 8*b + 3*b)*(3*b + 6*b + 3*b).\nAnswer: -78*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337606 is divided by 48214.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -156 or 0.479124?\nAnswer: 0.479124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 2*x. Let c be k(-3). Suppose c*q + 2*q = 135. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 84*g**2 - 89*g + 58. Let m be n(29). Solve -20*i - 11 - 9 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 6675*t**3 - 19968*t**2 - 66660*t = 0. What is t?\nAnswer: -2, 0, 5, 2222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 105*h - 1102. Let a be n(38). Let y be 2\/8 - 148\/16. Is y at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/40 - (-1)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 16) in base 8?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 5. Let p be b(-4). Suppose -11 = -p*z - 0*z - v, -4*v + 14 = 2*z. Suppose 2 = -z*x + 8. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 118*i + 2028. Give t(-17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -10 - -13 - 33\/(-1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 3, -17, 4 in ascending order.\nAnswer: -79, -17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 412?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 2, a: 7, z: 5, j: 1}. What is prob of sequence awa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-26\/3)*d)\/d*d**19 assuming d is positive.\nAnswer: d**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638921 and 541?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 40*q + 138.\nAnswer: -2*(q - 3)*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 + 6 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86982*g**4*j**3 - 1788*g**4*j - 2*g**2*j + 4389991*g*j**3 wrt g?\nAnswer: -2087568*g*j**3 - 42912*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(5)*-5 - sqrt(78)\/(sqrt(6)*1))**2 + -2.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 - 3*f + 17. Let b be a(7). Let z = -34 - b. Suppose 0*k = c + 4*k - z, -3*k + 9 = -c. Solve 0 = g - 2*g + 5, c*g - 31 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + (-121)\/(-22))*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/12))\/(y\/(y\/y**(-1\/5))) assuming y is positive.\nAnswer: y**(67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -3, 16052.\nAnswer: -3, 53, 16052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 678\/113*1\/7\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 20 = 5*v + 2*x, -5*v = x + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704644785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/200)\/(2\/6). Let l = 724 - 725. Which is greater: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, n: 7, a: 5}. What is prob of sequence sn?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -168 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -429.7 - -413. Let p = 16 + m. Let z = p - -0.4. Which is the third smallest value? (a) z (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 40 = -4*w, 0 = -2*w + 6*w + 4*k - 72. Let r(c) = c - 13. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1515 + 0.0815. Let j = -0.14 - 0.16. Which is the closest to -0.1? (a) -0.5 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3179 is divided by 272?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -43*h + 1. Calculate o(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - h - 3*h**4)*(179*h + 42 - 42).\nAnswer: -537*h**5 + 179*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 385079843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.4 - -101.6. Let q = i + -121.00138. What is q rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/52*(2 - (1 - 1491)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408910.608 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**2. Let u(l) be the second derivative of 0 + 2\/3*l**3 + 0*l**2 + 32*l. What is u(q(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 8. Let y be t(10). Let l(i) = i + 8. Let c = -10 + 2. Let n be l(c). Solve -y*s - 2*s + 4 = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:45 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4304 + 4327. Sort 4, -5, 13, q in increasing order.\nAnswer: -5, 4, 13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/15748, -0.2, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 186. Let l = s - -232. Calculate the highest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -238. Let y = b - 42. Let v be (-2)\/4 + (-6)\/(y\/(-165)). Is -2\/5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, h: 2}. What is prob of sequence hooo?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let k(u) = -2*u + 1. Let o(a) = -k(a) - z(a). Let d be 2 + 225\/(-27) + (-4)\/(-12). Let q(x) = 2*x - 1. Determine d*o(f) + 2*q(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248727.3 centuries to millennia.\nAnswer: 24872.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z = 60*z - 64*z - 1917 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 10:30 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from iijjss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2632.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 492289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghheggjggghggjejhg. Give prob of sequence jhej.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -194*u**5 - 760*u**2 - 1553*u. Find the first derivative of m(t) wrt t.\nAnswer: -11640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*((sqrt(405) - (-1 + sqrt(405) + -5))**2 + (-1 + sqrt(5) + 1 - ((sqrt(20)\/(-2*sqrt(4)))**2 + sqrt(5))))*5*-6.\nAnswer: 25020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977258459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 - -120. Suppose -5*g + g = -z + 173, -f*g + 10 = 0. List the prime factors of z.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 73165047 and 4.\nAnswer: 73165051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npnn when four letters picked without replacement from pppppnppnnp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/3 - 2218*w**3\/9 + 133858*w**2\/9 + 10414402*w\/9 + 3456512\/9 = 0. Calculate w.\nAnswer: -43, -1\/3, 157, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(931))**2.\nAnswer: -14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -9 (b) -8 (c) -0.02 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 2*u, 5*c - 7*c - 16 = -2*u. Suppose 5*n - 2705 - 1278 = -3*q, -3*n = -u*q + 6627. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 31. Let q be t(19). Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488466206?\nAnswer: 2, 3, 23, 399481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349 + (-6)\/((21\/2)\/(-7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 - -892 - -4*1\/1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73532\/363 <= 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -380, -787, -1198, -1613?\n\"Answer: -2*x**2 - 401*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + z - 71, d - z - 17 = -2*z. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 - g**2 - 3*g. Let w(y) = 6*y**3 + y**2 + 6*y. Determine 5*p(v) + 3*w(v).\nAnswer: 3*v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9258 to 2 dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3. Let p be g(0). Let n be 3 + (3 - (p - 0)). Suppose -1266996 + 5586996 = -n*y. What is y rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 952*b + 57. Let z be p(6). Suppose 0 = -11*c + z + 3526. Suppose -4*k + 95 + c = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 466*p + 3113. Determine j(6).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 17*i + 74. Let g be u(-8). Which is the third biggest value? (a) -0.4 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - -4.2. What is the second smallest value in 2, o, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*v**3 - 315 + 35*v**2 + 15*v.\nAnswer: -5*(v - 21)*(v - 3)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135393, -135407, -135425, -135441, -135449, -135443, -135417?\n\"Answer: m**3 - 8*m**2 + 3*m - 135389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*y = -22, 3 = 2*q - 5*y - 8. Suppose 3*i - 2*i = d - 9, -3*i = -d + 11. What is the remainder when 93\/4 - 2\/q is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**6\/120 + o**5\/15 + 5*o**4\/24 + 2*o**3\/3 - 7*o**2\/2 + 1. Let m(q) be the second derivative of u(q). Calculate m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953566.28 rounded to the nearest 1000?\nAnswer: 3954000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z + 1. Let m(s) = 7*s**2 - 8*s - 6. Let a(l) = -m(l) - 6*q(l). What is a(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1342041 - 245?\nAnswer: -1342330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 5, -1, 5\/6, -23682, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3\/5*d + 3\/5*d**3 - 3\/5 + 3\/5*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m**2 - m + 103. What are the prime factors of a(0)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 731*m**3 - m**2 - 4*m - 4. Let f be k(-1). Does 20 divide (f\/(-24))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3035*z + 21476. What is p(-7)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3*z**3 + 2*t**3*z**2 - 2*t**3*z - 1822*t**3 - 2*t**2*z - 1303*t*z**2 wrt z?\nAnswer: -12*t**3*z + 4*t**3 - 2606*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/597 or 3088?\nAnswer: -1\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - j - 111 = 0, 3*b = -0*j + 4*j + 169. Let z(r) = -r**3 + 8*r**2 - 13*r + 11. Let n be z(6). Calculate the highest common factor of b and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 5*m)*(-2*m**3 + 0*m**3 + m**3) + 3958 - 116*m**4 - 3958 + (4 - 4*m - 4)*(0*m**3 - m**3 - 2*m**3) - m + m - 2*m**4.\nAnswer: -107*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -11.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2059375*u**2 + 5441745*u wrt u.\nAnswer: 4118750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 280. Let v(i) = 27*i - 1403. Calculate -11*j(b) + 2*v(b).\nAnswer: -b + 274","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/((-6)\/(-28)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 + 2*v + 2. Let j be z(7). Let l be 15\/(-30)*-22*(1 + 0). Solve -l*o = -7*o + j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:21 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -23, 4, 63, 166, 325?\n\"Answer: 2*p**3 - 2*p**2 - p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 100\/102579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144020, 287958, 431896, 575834?\n\"Answer: 143938*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160 and 164860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**6))\/j*j*j**(-2)*((j*j\/(j\/j**(2\/5)))\/j*j*j)**49)**(-19))**(-10) assuming j is positive.\nAnswer: j**23104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12837 + -12730 + (-13 - (1 - -1 - 3)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 2*-1*sqrt(78))\/(-5*(sqrt(6) + (sqrt(42)\/sqrt(7) - sqrt(6)))).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -20505631\/6 = -3417605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 100*z**2 - 95*z**2 - 1 + 1. Let k(x) be the first derivative of x**4\/12 - x - 1. Let g(l) be the first derivative of k(l). What is b(g(c))?\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - 915.37.\nAnswer: -851.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23337 - 21162.4. What is v rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889947169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*g**2 + 3247301818*g**3 + 65*g**2 - 3247301811*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82412 and 284.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-184)\/40)*-5. Sort k, 4, 3 in decreasing order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5352 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*d = 4*d + 41, -3*d + 19 = 4*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/30 + 1754\/(-3). Let d = c - -1384. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241 + -236. Solve 16 = -3*u - v*t, 4*u - 2*u - 16 = 2*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*p**2 + p + 234 wrt p?\nAnswer: -126*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let u be -2 + 12\/3*5\/12. Which is the third smallest value? (a) u (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25\/6 - -4\/3. What is the common denominator of ((-5)\/(-18))\/(1\/29) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 9*o = 43061, -2*p = 5*o - 4773 - 38292. What are the prime factors of p?\nAnswer: 5, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 33. Let m = -60 + p. Which is the second smallest value? (a) 0 (b) -0.01 (c) 2\/9 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7*(408\/(-56))\/17. Let j(l) = -29*l**2 + 3*l - 3. Let p(x) = -1014*x**2 + 104*x - 104. Give c*p(b) - 104*j(b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5911, 5897, 5883, 5869?\n\"Answer: -14*h + 5925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8345863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 388, 651, 962?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 14 = -3*c, 4*v + v = -2*c + 32. Suppose 0 = -0*p + 3*p - c. Differentiate 13*s**2 + 2 - 13*s**p + 2*s**3 wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.845 + 1.155. Which is the second smallest value? (a) -1\/10 (b) 87 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112613504 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 0*c**3 + c**3 - c**2 - 2 - 17*c + 16*c. Calculate the common denominator of v(-2) and -21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 30 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188787499?\nAnswer: 17, 11105147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 + o**5\/20 + o**4\/6 - 2*o**3\/3 + o**2. Suppose 61 = 27*m - 47. Determine s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 7*x. Let u(o) = -o**3 + o**2 + 8*o + 2. Let q be u(4). Let l(t) = -t**2 + 3*t. Give q*l(b) + 6*k(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 4)*(468*x**5 - 257*x**5 + 259 - 259 + 545*x**5).\nAnswer: 6804*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482132*w + 482134*w - 21 = 85 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 60 = 76. Suppose 11*q + 84 = z*q. Let p be 2\/q*-2 + (-62 - -62). Is 2 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iipiiiiipiiipi.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15036*b - 1157876. Give f(-77).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128.00255 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s**2 + 40*s**2 - 3 - 6*s - 22*s**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 - 18580*r**2 + 731375*r - 3191750 = 0. What is r?\nAnswer: -3755, 5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*g**5*m + 8*g**4*m - g**3*m + 5*g**2*m - 156*g**2 + 2*g*m wrt g.\nAnswer: -840*g**2*m + 192*g*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 16*b**2. Let j(w) be the third derivative of w**5\/15 + 35*w**2 + w. Determine j(f(g)).\nAnswer: 1024*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*f - 13, 3*f + 2*y - 4 - 10 = 0. Put -1, 2, f, 5 in ascending order.\nAnswer: -1, 2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -7*a. Let x be 229098 + 4 + a + -5 + 3. Round x to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 4*d + 429. Let q = d - -57. Suppose -2*r + 3*w + 2*w + 15 = 0, -3*r = w - 14. What is the remainder when q is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d + 7. Let y be t(-3). Let k = 25 + y. Suppose -2*g - 108 = -k*g. Calculate the greatest common factor of g and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5722, -5718, -5712, -5704, -5694?\nAnswer: -5682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2050\/(-26) + 18\/(-81) + (-17)\/(17901\/(-72))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 10) to base 13\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 376\/19082*(-154)\/(-44)*3*(-3)\/(-6)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 1456 = 1051. Solve 12 = 51*v - k*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*q + 7665 = 0, -9 = q - 4. Let c = 2163 + g. Suppose -26*p - c = -31*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250801.\nAnswer: 3, 7, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + -4 + -3 + 1*sqrt(931))**2.\nAnswer: -56*sqrt(19) + 947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0 + 8. Let f be (-4)\/(48\/j)*1. What is the third biggest value in 3, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 2 + 409 + -426.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156170 and 187404?\nAnswer: 937020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26140*j + 12710*j + 12923*j + 44109 = 0 for j.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 29108.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 940\/(-230) - (6\/(-69) + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 116 + 36. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/(6*3\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/21*(-3)\/(-12). Let y = 47.05 + -42. Let o = y - 0.05. Which is the nearest to 0.1? (a) r (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1519756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-129) + 0\/35?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 26*l**3 - 16*l**2 + 14*l - 23. Is o(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 - 75. Let j(n) = -6*n + 1. Calculate the remainder when c is divided by j(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**4\/2 + 131695*j**3 - 46775805*j**2\/2 + 22992805*j + 46512400 = 0.\nAnswer: -52855, -1, 2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10224 (base 6) to base 3.\nAnswer: 1220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) + (sqrt(756)*5 - sqrt(756)))\/sqrt(7))**2 + -2*(sqrt(336)\/sqrt(7))**2.\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -693418 - -3467093\/5. Factor u*h**2 + 0 - 1\/5*h**4 + 2\/5*h**3 + 0*h.\nAnswer: -h**2*(h - 3)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let p(t) = 2*t**3 + t**2 - 4*t + 1. Let f(q) = 6*g(q) - 2*p(q). Let b(r) = -13*r**3 - 7*r**2 + 7*r - 7. What is -2*b(j) + 7*f(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0957651 to three decimal places.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -495*p**3 - 246*p**2?\nAnswer: -2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**3 - 237*w**2 - 3802. What is j in c(j) = 0?\nAnswer: -158, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 632846741 + -0.05529\nAnswer: 632846740.94471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244290 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 44 = -3*u + 2*u, 340 = 5*u - 5*m. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e (base 16) to base 8.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -10.3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51689085 and 97120?\nAnswer: 3035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 17278890 and 470.\nAnswer: 17279360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -0.7. Let v = -0.3 - -0.4. What is the nearest to 1 in -4, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*w - 10, -2*w + 4*f = -6*w - 8. Let i = 2179\/6 + -365. Is w bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 + a. Let o be d(0). Suppose 4*b + 0 = 4. Solve -k + b = -o*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 5*d + 30. Factor 8*a - 4*a - 3*a**2 + a**2 - d*a.\nAnswer: -2*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 17145389.\nAnswer: 17145386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4267 is divided by 404.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3 + 2*o**3 - 3*o**3 - 4 + 4*o + 6 + 13*o**2. Is g(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59743613?\nAnswer: 1667, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -10 - 2. Let j = x + 2. Solve 0 = -j*a + 3*a - 4*i - 13, 4*i - 17 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*s + 30, j + 5*s - 5 = -0*j. Let o(i) = -i**2 - 15*i + 58. Let m be o(3). Which is the fourth biggest value? (a) -3 (b) m (c) j (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 69690, 69677, 69648, 69597, 69518?\n\"Answer: -m**3 - 2*m**2 + 69693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*w - 41 + 13 + 9 + 19 - 595*w.\nAnswer: 83*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15640214 to the nearest integer?\nAnswer: 3955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56588.85 millennia in centuries?\nAnswer: 565888.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -345830 divided by 57\nAnswer: -345830\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.0993*-0.66\nAnswer: 2.045538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -71, -65, -57, -47, -35, -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.5. What is the nearest to 0.1 in 2\/11, d, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 a factor of 2423548330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(1 + sqrt(605) + -2 + -1 + 0 + sqrt(605)))**2*5.\nAnswer: 660*sqrt(5) + 12145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5 = -a, -2*a = 5*v - v - 10. Suppose -3*j + 15 = -v. Find the third derivative of 2*q**5 - 2*q**2 - q**j + 3*q**2 wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176 is divided by 153?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -0.09. Let l = 0.53 + i. Let m = -1.8 + 2. Put l, -2, m in ascending order.\nAnswer: -2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11116.9522 + 11396.952586. Let q = 673 + -393. Let z = v - q. What is z rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 120 = -t - 30, -4*t = -3*v - 345. Let x = t - 84. Solve 4*w = 3*d - 11, -w + 5*w + x*d + 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-212)\/((-11024)\/(-364)))\/(-1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 938 = 5*o - 543, 3*o - 891 = 3*i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119) - 5*sqrt(119)))\/sqrt(7).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2272600473?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*p + 127 - 18060, 0 = -3*p. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1038*t**3 + 2*t**5 + 3*t**2 - 171 - 1451*t**3 + 267*t**3 wrt t.\nAnswer: 120*t**2 - 13332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/384)\/(9\/20))\/((-45)\/9).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 2 = 13*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, 737, 1663, 2591, 3521?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 15. Suppose -r + w + 35 = 2*w, 45 = r - q*w. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 15.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233085 and 19065?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**8)))**(-40)\/(t**5\/(t\/(t*t*t\/(t*t**0)*t*t))) assuming t is positive.\nAnswer: t**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 440267593 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -315, -499, -699?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let c(h) = h**2 + 11*h + 7. Let l(d) = d**2 + 10*d + 6. Let n(x) = -5*c(x) + 6*l(x). Let i(m) = -n(m) - 2*w(m). Calculate i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 593 or -2200.71?\nAnswer: -2200.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1. Let j(n) = 7*n + 4. Give j(o) - 6*q(o).\nAnswer: 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 945.0946 minutes in seconds?\nAnswer: 56705.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2*b - 4. Calculate h(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*i**2 + 1076828*i**3 - 1076830*i**3 - 216*i**2 - 4*i in the form l*i**3 + n + o*i + p*i**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17*-26\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 926906.7 hours to microseconds.\nAnswer: 3336864120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/6 - 2*q**3\/3 - 2*q**2 - 18*q. Give r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12605 - -12619. Calculate the remainder when (0 + -5)\/(1\/(-13)) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285 divided by -132978\nAnswer: 95\/44326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*s - 14. Let j be (2 - 20\/7)*-7. Let x(p) = p**2 - j*p**2 + s*p**2. Let q(n) = 3*n. What is x(q(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j + 12. Let c(y) = 112*y - 70. Let f(p) = 35*b(p) + 6*c(p). Let i(m) = 93*m**2. Give i(f(k)).\nAnswer: 4557*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 75, 86, 99?\n\"Answer: l**2 + 6*l + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.2 (c) 3\/52 (d) 30\/269 (e) 0 (f) 13\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/15 + 0)\/(-7 - -8)*3\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 + 26\/10. Let d(o) = -24 + 3*o**2 - 31 - o**3 + o - 22 + 79. What is d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819052.\nAnswer: 2, 13, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 714?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12484, -2, 18 in decreasing order.\nAnswer: 12484, 18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*x - 51*x + 13*x)*(-x - 3*x + 3*x) to l*x**2 + t + g*x and give l.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 302717, 302691, 302665, 302639, 302613?\n\"Answer: -26*l + 302743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:43 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -120*s + 87. Let j be t(-12). Let v = j - 1082. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - (-87 - -35)) + (93 - 11).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1956 and -163\/30?\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 35.6. Let c = 9.4 + m. Let y = 3.6 - 3. Sort 3, c, y in decreasing order.\nAnswer: 3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 870\/(-12) + 2\/(-4). Let p = l + 75. Calculate the least common multiple of 6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*c + 2, 0 = 3*j - 0*c + 5*c - 17. Solve y = 3*d - 5, -j*d + 9 = 5*y - 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2*p + 1 + p**3 - 2*p + 0*p. Let j(o) = 4*o**3 - 2*o + 4. What is 2*d(i) - j(i)?\nAnswer: -2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, 53 in increasing order.\nAnswer: -4, -1, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/120 + 17*m**4\/72 - 31*m**3\/18 - 20*m**2\/3 + 4172*m. Factor x(d).\nAnswer: -(d - 10)*(d - 8)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.4447539 and -53.\nAnswer: -48.5552461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11838 divided by -6\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144961 or 434887\/3?\nAnswer: 144961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7816005 by -3.\nAnswer: -2605335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171.775 - 0.225. Let l = -104.97 + -68.16. Let z = l - k. Round z to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*u - 42 = 0, -2*b - b + 2*u = -29. Let k = -2.9 + -1.1. Sort k, -1\/7, b.\nAnswer: k, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**1))**28)**(-27) assuming y is positive.\nAnswer: y**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1084354137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 7*j - 8. Let x be 0 - 18\/2 - -2. Let d be g(x). Let k = 9 - d. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 47, 1 in ascending order.\nAnswer: -21, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0*j + 2*j**2 + 7\/60*j**5 + 0 - 3\/8*j**4 + 1\/3*j**3. Find n, given that k(n) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2616 and -46\/981.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*m - 4*m - 23 - 101*m**3 + 95*m**3 to s*m**2 + c*m + g*m**3 + t and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/8)\/a**(-16))\/(a**(-4\/3)\/(a\/((a\/a**10)\/a))) assuming a is positive.\nAnswer: a**(665\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2540 = -6*s. Suppose i - s = -9*i. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2*q**3\/3 + 58*q**2 - 118*q - 298. Factor m(s).\nAnswer: 2*(s - 1)*(s + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150 - 159) + (-5 + (2 - 58) - -5).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/12 - 2*b. Let g(f) be the first derivative of -f**2 + 16. Determine y(g(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - (-28)\/7*2. What is the closest to -3 in -5, n, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 15*m + 5*b - 3 = 0, -5*m + 4*b = -48. What is the greatest common divisor of 444 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164084 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -4, -2441 in decreasing order.\nAnswer: 0, -4, -16, -2441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 6*t + 27. Let r be -1 + 6*(1 + 0). Suppose -t*a - 30 = -r*a. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.40000002 + 0.4. What is m rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(847) + (1 + sqrt(28))**2.\nAnswer: 32 + 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (-2 + -5 + 1 + sqrt(2) + -4 - ((sqrt(242) + 1 + 3 - sqrt(242)) + 1))**2.\nAnswer: -30*sqrt(2) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128\/22 + (-5)\/(55\/(-2)) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3893*b + 23328. Give u(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/8395 and 67\/16790.\nAnswer: 16790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -5*g - s, -142 = -3*g - 4*s + 265. Suppose 9*q + g - 237 = 0. Is 2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3254412723 - -5?\nAnswer: 3254412730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 12 - 38)*(-2 + 1 + 2 + (2 - 2 - 2)*(-2 + 1 - 1))*(2*k**3 + k**5 - 2*k**3).\nAnswer: -300*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.8. Let l = -31 - -33. Which is the closest to -1\/3? (a) -2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaay when four letters picked without replacement from aayyayyayyyyyaayayy?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 + 34*g**2 + 37*g - 25. Calculate y(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from yyyyyybyyybbyb.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2249998578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6)*(-3)\/(-2). Let h be 12*(o - (-20)\/(-12)). Let x(k) = k**2 - 7*k + 5. Calculate x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-612)\/(-408)*18\/49\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31387517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1375939*k**3*w - 58*k**2*w + 3389 wrt k.\nAnswer: 8255634*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 1:02 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Solve -h*q = -4*r - 29, -4*q + 1 = 3*r + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131740251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/12 - y**3\/3 - y**2\/2 - 3*y + 2. Let t(u) be the first derivative of v(u). Suppose t(g) = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -22 = w - 5*r, 0 = -4*w - 3*r + 13 - 9. Put b, w, -1 in increasing order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/3 + 13*u**2 - 70*u\/3 = 0?\nAnswer: -7, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**3 - 18*f**2 - 29*f - 5. Let y(h) = 9*h**3 - 27*h**2 - 43*h - 7. Let g(k) = 7*n(k) - 5*y(k). Factor g(j).\nAnswer: -3*j*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -138b3 (base 14) to base 7\nAnswer: -261013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008303 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.169, -0.47, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10*1 - 0. Let y(u) = -u**2 - 6*u + 4. Let n be y(-6). Sort f, n, 1.\nAnswer: f, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*q**4 - 117*q**3 + 63*q**3 - q**2 - q + 56*q**3 to y*q**4 + u*q + h*q**3 + j*q**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 - 2*p + 2. Let i be r(5). Suppose 4*m + 0*x + i = -5*x, -18 = m + 4*x. Let s(t) = -2*t - 5. Let u be s(-4). Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, l: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:20 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/30 - h**4\/4 - 418*h**3\/3 - 146*h**2 - 5. Let m(i) = 0. What is i?\nAnswer: -19, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 3*y**2 + 5*y - 4*y in the form j*y + n*y**2 + v and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1614*l - 1489*l + 2744*l + 6.\nAnswer: -359*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3 = n, 3*n = -w + 3*w - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -118, 4, -33, -1, -5 in descending order.\nAnswer: 4, -1, -5, -28, -33, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32164 divided by -44?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z - 462. Let v be k(-13). Which is smaller: v or -293\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 132088995*o**2 - 872375328138960*o - 2617124795616060.\nAnswer: -5*(o + 3)*(o + 13208898)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3 - 7 - 2*m**2 + (-2 - m + 2)*(87*m - 15*m + 3*m).\nAnswer: -77*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9055366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/12 and (-174)\/18 - 3*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*a + 330, 0 = -0*a + 3*a - 2*y + 330. Let f = -138 + 81. Let q = f - a. List the prime factors of q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -14, 0.08, -2\/183?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 3*b**2 + b - 2. Let s be l(2). Suppose -s*y + 9 + 91 = 0. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 5*i**3 + 12 + 12.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*p - 197*p - 2 + 0*p**2 + 33*p - 2*p**2 + p**2 to a*p**2 + n + w*p and give w.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + l - 36, 173895*l - 173894*l = -4 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20296 - -20297. Which is the second smallest value? (a) 5 (b) 3\/4 (c) -29 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let s = 755\/7 - 108. Which is the nearest to s? (a) 4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 2210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 = 2*j - 7072. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 - 2*s. Let g(v) be the third derivative of -3*v**5\/20 - 5*v**4\/24 - v**3\/6 + 5*v**2. Let h(q) = 2*g(q) - 5*o(q). Factor h(c).\nAnswer: 2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 * 238498\nAnswer: 8108.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89244839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 8. Let t be z(-5). Let n(l) = 4*l - 8. Let i be n(4). Solve -t*k = -i*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 6*h - 6. Let d(i) = 2*i**2 - 8*i + 6. Suppose -k = v - 4, 2*v - 3*v = 1. Calculate the lowest common multiple of a(-5) and d(k).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**4\/24 + 4*p**2. Let k be c(3). Let s be (6*-1)\/k*-2. Solve 3*m + 2 = s*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2. Let a(f) be the third derivative of f**8\/3360 + f**5\/12 + 10*f**2. Let r(z) be the third derivative of a(z). Determine r(n(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**3 - 15*k**2 - 13*k + 25. Let q(t) = 4*t**3 + 8*t**2 + 6*t - 12. Let p(b) = -3*n(b) - 7*q(b). What is the tens digit of p(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/6 + 2*b**2. Let p(q) = 4*q**2 - 2*q**2 + 0*q**2. What is u(p(r))?\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 86, 191, 336, 521?\n\"Answer: 20*c**2 + 5*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -205b - -13?\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (382\/(-30) - -13)*15. Solve 2\/5*h**r - 2\/5*h**2 + 2\/5*h**3 + 0 - 2\/5*h = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 55451920*j.\nAnswer: 55451920*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/4 - 955*h**2\/4 - 477*h\/2 = 0.\nAnswer: -954, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2265196*c - 6402773 with respect to c.\nAnswer: -2265196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 36 = 0, -3*h + 15 = 7*p - 6*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67553.\nAnswer: 43, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010523639865 rounded to six decimal places?\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(1 + sqrt(704)) + sqrt(704) + -2*sqrt(704) + 4)**2 - -2*(sqrt(891) + -2)**2*3).\nAnswer: 8*sqrt(11) + 8235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let m(l) = l**3 - 2*l**2 + l - 2. Let k be m(2). Let n(u) = 0 + k*u**2 - 4*u**2 + 0. Determine c(n(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 182\/267?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101231234 + -1110?\nAnswer: -101232344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 + -81. Let s(c) = -2*c**2 - 7*c - 3. Let h be s(l). Solve 0 = 4*x + 16 - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 67 = 26*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7.15. Let c = -23805 + 23804.6. Put -2\/7, c, l, -1 in descending order.\nAnswer: l, -2\/7, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*z - 16 = 0, 3*r + 8*z = 4*z - 18. Let o be ((-2)\/(-7))\/(10\/140). Which is the third biggest value? (a) -0.05 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 426\/(-80)*(-36)\/1026. Let x = j + 6\/95. Which is the fourth smallest value? (a) -4 (b) x (c) -0.007 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67117 + 67119. Factor 0 - 1\/6*a**q + 0*a.\nAnswer: -a**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 1\/(-2)*8. What is the smallest value in -2, -0.2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c + 8. Suppose 0 = c*p + 2*l - 1118 - 172, 5*l + 651 = 2*p. Suppose 4*z = 831 - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5)*-1 + 0 - (2 + sqrt(20)))*6.\nAnswer: 72 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1466 - 1215. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -21 (c) 4 (d) -2\/7 (e) 13\/451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1765 + 0*q + 1790 + 55 + 2*q + 1203 to the form o + i*q and give o.\nAnswer: 4813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 2. Let l(q) = 235*q - 2. What is l(j(i))?\nAnswer: -470*i - 472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*u**3 + 311570*u**2 - 311570*u**2 - 131*u**3 + 844*u**3.\nAnswer: 876*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80251, -80243, -80235, -80227?\nAnswer: -80219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 119*m + 232. Let y be l(-2). Sort -4, y, 13, -3, 1.\nAnswer: y, -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - 8*u**2 - 3*u + 2. Let h(l) = l**2 + 7*l - 32. Let j be h(-10). Let g be d(j). Solve 2*x + w - 9 = 5*x, 5*w = g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*n + 4*n**4 - 13 - 36*n + 82*n + 29*n**4 as g*n**4 + d*n**2 + i + m*n + o*n**3 and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -332 + 956. Let b be 88\/(-14) + (-18)\/(-63). Let h be (b*24\/27)\/(2\/(-3)). What is the greatest common divisor of m and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/103425 and -8\/15?\nAnswer: 103425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17763 and 2.2.\nAnswer: -17760.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1803409507.\nAnswer: 23, 241, 325349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 - q**4\/6 + 67*q**3\/6 + 15*q. Find the second derivative of r(j) wrt j.\nAnswer: -6*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156230 is divided by 155947?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-80)*-3)\/((-1356)\/(-7232))?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 15) to base 11\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*i = 2*x + 287984, -x = -i + 144004. Round x to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5001*c - 6. Let j be z(-6). What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(3680\/(-12))*4224\/(-4752)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1 + (-10450)\/(-825)*6\/(-10)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3120 from 0.\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-10 - (808 + 4)). Do p and 824 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113.005 - -113. Is 1\/2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*q - 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*z**3 + 6 + 12*z**4 + 3*z**3 + 2*z - 8*z**3 + 45 + 52 wrt z.\nAnswer: 144*z**2 + 318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15373, 15614, 15891, 16222, 16625, 17118, 17719?\nAnswer: 18446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 3*t**3\/2 - 4*t**2. Let b be d(7). Suppose g + 68 = b*k, k + 4*g - 27 = -2*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166150147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 1\/41, -0.4, 0.5, -5\/3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12061 (base 9) in base 3?\nAnswer: 102002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 2*u)*(-2 + 1 + 3) - 2 + 3*u + 2*u - 6*u + 4*u - 2*u + 0*u.\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -285*w**3 - 9 - 19 + 52 + 130 + 112 wrt w?\nAnswer: -855*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49177418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, 1\/16, 2, 0.1, -1.\nAnswer: -1, -3\/16, 1\/16, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 29208?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 44*g**2 - 14*g + 23. List the prime factors of x(2).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/12 - 10*m**3\/3 + 8*m**2 - m. Let g be v(19). Let w(q) = -2*q**2 - 4*q - 1. Calculate w(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (791262\/(-2564275))\/(18\/(-20))?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*a = -31, -3*z - 3 = 5*a - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*y**3 - 75*y**3 - 28*y**3 + 174*y**3.\nAnswer: -41*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a + 41*a - 16 = 0. Calculate the greatest common divisor of a and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*v - 483*v + 966*v + 5*v**2.\nAnswer: 5*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 232, 461, 690, 919, 1148?\n\"Answer: 229*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**27)\/(((p\/(p**(-3\/11)\/p))\/p)\/p))\/(p*p**14*p)**(2\/7) assuming p is positive.\nAnswer: p**(1783\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1371 and 32.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18 and -35\/53988.\nAnswer: 161964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 + 0 + 0 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*u - 145. Let f be u\/(1 + 1) + 1. Suppose -5*o + 23 = -4*t - 48, o + 4*t - f = 0. What is the remainder when 43 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57046 greater than -3765035\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175067, 175066, 175065, 175064, 175063?\nAnswer: 175062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67969265 to the power of 1\/2, to the nearest integer?\nAnswer: 8244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 5 = 3*w. Let t = w + -5. What is the first derivative of 7 - t - f - 7 wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19711886827 minus -7?\nAnswer: -19711886820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 12. Let i be j(-12). Let f(v) = -2*v + 14. What is the units digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*r - 16 - 14, -2*r + 32 = 4*f. Let s be 3 + 0*1\/5. Solve -s*k = -f - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*o + 242 = -3*s, 4*s + 224 = -4*o. Let j = s + 66. Is ((-2797)\/2 - 4\/j)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8402 + -7610. Calculate the greatest common divisor of 288 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/927191 smaller than -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.4 and 894951?\nAnswer: 894957.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130983261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 3*s + 3. Let g = -1234 + 1266. Calculate the remainder when n(-3) is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/5))**8)**(-3\/25))**(-7\/4) assuming o is positive.\nAnswer: o**(42\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 21\nAnswer: 41\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4936*q + 745200 = -3344*q for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.5 (c) 1\/2 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5139*s**2 - 186*s - 48*s + s.\nAnswer: 5139*s**2 - 233*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6200 = -12*x + 32*x. Is x a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585 - 186 = 19*s. Suppose -5*z - s = -o, 3*z - 2*o + 9 = -5*o. Let u(q) = 3*q**2. Let w(c) = 5*c**2. What is z*w(n) + 10*u(n)?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4816*t. Let v(q) = -7*q**2. Determine s(v(i)).\nAnswer: -33712*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}